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nach seinem Hause gesdict. 9. Er ging aus dem Zimmer. 10. Ich war b c, to the pp in the points E FG; determine the vp for these bei meinem Bruter. 11. Dies ist gegen das Gesef

lines only, and follow the instructions given with reference to EXERCISE 106 (Vol. II., page 156).

Figs. 27, 28, and 29 (Vol. III., page 9) in drawing the perspective

of the base; the points of contact E and a will be the points to 1. We cannot get through this forest. 2. I received these letters this morning through a kind acquaintance. 3. Along the river they be brought down to e' and c' for the base. The lines of contact saw the enemy's glittering arms. 4. One should be ready to sacri.

from F and a must also be brought down to the base of the fice everything for a friend. 5. For this behaviour the father picture upon which to measure the height of the pyramid f'm and punished the boy. 6. They directed the cannons against the town. 7. G' N. Divide f'm or G'n into three equal parts, and through You are not now nearly so frank towards me as was the case formerly. the second from the base draw the line of sight parallel with 8. The enemy shot all the prisoners without exception. 9. Without the PP. Find the ve, to which draw lines from the points of the father's interposition, the children might have caused a great mis- contact E and c'; these lines cut by visual rays from D and B in fortune. 10. Without doubt my friend will arrive here to-day: 11. In the plan will decide the extent of the base in i and k. For the order not to increase the mother's fear still more, he did not tell her top lines must be drawn from m and n to the VP, and cut by the truth in all respects. waged war for seven years with Frederick

the Second, king of Prussia, visual rays from the plan of the top, as was done with the base; about the possession of Silesia. 13. For this disease there is no

draw the inclined edges mh, n i and o k; this will complete the medicine.

subject.

PROBLEM XXII. (Fig. 42).---Supposing an equilateral triangle, GEOMETRICAL PERSPECTIVE.-VII.

having its side 2.5 inches, to be the base of a pyramid 2-5 inches

high, draw a perspective representation of the pyramid. Assume PROBLEM XX. (Fig. 40).—Upon the board of the last question one side of the base to be inclined at an angle of 20° with the (see Vol. III., page 73) describe a circle, the circumference touche picture plane, the nearest edge of the pyramid to be inch from ing the edges.

the picture plane, and the observer's eye to be 5 inches from the picFig. 39, Problem XIX., must be repeated: then upon f b de- ture plane, and 1.5 inch above the horizontal plane on which the scribe a semicircle, and about the semicircle the parallelogram pyramid stands, and opposite a point 2 inches to the left of the fh gb; from z, the centre, draw - h, z g; through the points angle of the pyramid nearest the picture plane. (From a Military where these last lines cut the circumference draw lines parallel Examination Paper.) to fh or b g, to i, k; next, through the points i, s, k, draw Draw a line, A x, at an angle of 20° with the PP, determine straight lines parallel to f a'c' or bd; draw the diagonals a' d, the point B ) inch from the PP, and make a B equal 2.5 inches, do, which intersect the parallel lines dropped from the incline upon which describe an equilateral triangle, the baso of the k zi; the points of intersection numbered 1, 2, 3, 4, 5, 6, 7, 8, pyramid. The centre of the triangle must be found by bisecting will be those through which the plan of the inclined circle must two of the angles (or by bisecting two of the sides, because the be drawn.

figure is a regular one, having equal angles and equal sides); the Before proceeding with the perspective delineation of the board intersection of the bisecting lines will be the centre at g, which and circle, as shown in the lower part of Fig. 40, we must detain is the plan of the apex of the pyramid. Produce the line co to the pupil whilst we examine the principles upon which the plan D, and draw from A and B parallel lines to meet the pp in E and of the inclined circle is represented. The explanation given F. From E, D and F draw perpendicular lines to the base of the with Figs. 38 and 39 will be sufficient to clear all difficulties picture BP. Place the station point (8P), and draw the nu with respect to the board only. As the circle is lying on the according to the given distance stated in the question ; find the board or inclined plane, the end or profile of which is f b, we VP for DG C, which will also be the vp for the other parallel must ascertain the whereabouts of the points through which the lines drawn from the plan to the PP: visual rays drawn from circle is drawn upon the incline. Let the pupil draw a square A, B, C, and cutting other lines drawn from H I K to the VP, will upon a separate piece of paper, and describe within it a circle, at their intersections give the perspective positions of the several then hold the paper at an angle with the horizon, the inclined angles of the triangle, which must be completed by straight edge being opposite the eye, he will first see how from an in. lines forming these angles. Thus far there is no particular clined line we can represent the whole of a square, as illustrated difference in the rule for drawing the perspective of the base from by Figs. 38 and 39; but in this ase we have the addition of a the one given for the last problem and several others gone before; circle within the square, therefore the points through which the but we wish especially to draw the attention of our pupils as to circle is drawn must be brought to the edge of the inclined which of the lines of contact E 4, D I, or F K must be the one square represented by the lino f b (Fig. 40); a semicircle upon which the elevation or height of the pyramid is to be set off. will be sufficient to help us in this, as the opposite portions of It will be easily understood, when we consider that the vertex the circle and the several points through which it passes of the pyramid is over the centre of the base, that the line of contact correspond; therefore the method of construction above given connected with the centre must be the one, viz., D I. Therefore will enable us to produce upon the plan of the board the plan upon D i mark the height of the pyramid, viz., I L; from L draw of the circle also.

a line to the VP, and a visual ray from G cutting this line in v To proceed with the perspective representation, let the pupil / will give the position of the vertex of the pyramid. Draw from draw visual rays from all the points in c' d and a' b, to cat m lines to meet the angles at the base, which will complete the the respective sides of the perspective projection of the square ; representation required. Suppose the three inclined faces had draw lines between the corresponding points on the opposite not been equal, and that the plan of the vertex had been at 9, sides of the perspective square, and also the diagonal lines of the then g d must be drawn parallel to G D, the line of contact square : the points through which the circle is to be drawn by brought down, and from the height measured to l a line drawn to hand will be those which are found to answer to the same in the the vp, and the visual ray from g to cut this line, to find the ground plan.

vertex from which interscction the edges drawn to the angles at PROBLEM XXI. (Fig. 41).—A truncated pyramid has a square the base as before will represent the pyramid. base of 1.5 inch side, the top is of 1 inch side, the height 2.5 inches. Suppose the solid to be a regular tetrahedron, that is, a figure Give a perspective representation of the pyramid resting on a hori. with four equal faces, each face would then be an equilateral zontal plane with the plcn of the picture inclined to one of the triangle; the height in this case would have to be found. This edges of the bass at an angle of 150. The line of sight to be of obliges us to have recourse to geometrical or orthographic prothe height of the pyramid.

jection. Upon a little reflection the pupil will see that the disAfter placing the line c D (an edge of the base) at the given tance of the vertex from the ground will be less than the length angle, 15° with the PP, draw the plan according to the instruc-of the edge of the pyramid; first, because a straight line drawn tions given in Problem VI. (Vol. II., page 297). Here is an instance from an angle of the equilateral triangle to the centre of the where the use of one vP only will be absolutely necessary; opposite side is less than the side ; and again, it would be further there are two sets of retiring lines, viz., C D and its paralle's, reduced because the triangular face is inclined. Now, how much and c B and its parallels; if we were obliged to determine the height may be less than the edge can be determined by the vp for c D and its parallels, we should find by drawing the following mode of proceeding :- Let A B C (Fig. 43) be the from the station point a parallel to c d that the vp would be plan of the pyramid at the base, and d the plan of the verter. at a very considerable and inconvenient distance out of the Now it is understood that all the faces of this solid are equal, paper; therefore produce the parz'lels to C B, viz., A D, a d and, and that they are equilateral triangles. Again, we have the full

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extent of each of the triangles represented by that of the plan ber at the average price, must be equal to the amount by which A B C, therefore we know the length of the edges of the inclined the cost of the number of pounds of the second kind exceeds triangles, of which A B D is the plan of one, B D C of the second, the cost of the same number at the average price. Hence, and ADC of the third. Of course the vertex of the pyramid Number of first kind x 150, = number of second kind x 3d. will be perpendicularly above its plan in the centre d, therefore Hence the required number of pounds are in the ratio of 3 : 15, or we must rabat the perpendicular, that is, turn it down upon the 1:5, i.e., inversely, as the difference of the prices from the arepaper, and thus form the right angle B D E. From B with the rage price. distance B A or B C cut the perpendicular D E in E, join B E, Hence, any pairs of numbers of pounds in this ratio will form a

mixture of the required kind. which will represent the rabatted and inclined edge of the pyramid, whilst D E will represent the height of the pyramid. We 5. When there are more than two quantities at different prices, may, perhaps, make it clearer in this way :-—that as the line which are to be mixed ? BD must be the plan of an inclined edge of the triangle A B D, of This kind of question can be solved by the same principles. which В D is the plan, and because B E, the rabatted edge, is Separating the quantities to be mixed into two sets, one equal to B A, and D E perpendicular to D B, therefore D E must cheaper and the other dearer than the average price, we must be equal to the height of E, the vertex from the ground. To evidently have the sum of the quantities which are cheaper represent the elevation draw B B', A A', and c c', at right angles than the average, multiplied each by the amount by which its with x y (the axis of the plane of projection), produce D D to price is less than the average price, equal to the sum of the any length and make D' E' equal to D E; draw from E' lines quantities which are dearer, multiplied each by the amount by to B', A', and c', which will represent the vertical projection or which its price is greater than the average price. elevation of the pyramid. To draw the plan, and ascertain the There is one difference, however, in this case and that of only height of the pyramid by the rabatment of the right-angled tri. two ingredients. In the latter, the ingredients must be mixed angle B D E, will be all that is necessary to prepare the subject in one given ratio; in the former, an infinite number of numbers for the perspective representation. We have added the ortho- can be found, so that ingredients mixed proportionately to them graphic elevation, trusting it may assist the pupil to understand will satisfy the required condition. that the height is not equal to one of the edges.

6. EXAMPLE.—How may teas, at 38. 6d., 48., and 45. 6d. a To proceed with the perspective elevation, draw the plan as in pound respectively, be mixed so as to form a mixture worth Fig. 42, find its height by Fig. 43, and set off that height from 4s. 2d. a pound ? i to L (Fig. 42). For the rest proceed as in Fig. 42. We will Here the first two are less than the average price, and the last is give another question similar in character to the last problem, greater; and the differences are 8d., 20., and 4d. respectively. for the pupil to work out by himself, without any accompanying Therefore, explanation except the figure.

No. of lbs. of first x 8d. + no. of lbs. of second x 2d. = no. of lbs. PROBLEM XXIII. (Fig. 44).—Give a perspective view of a regular

of third x 40. pyramid on an hexagonal base, the height of the pyramid being Take, then, any number of pounds of the first and any numequal to three times the length of one of the edges of its base. ber of pounds of the second, at pleasure. We can then deterAssume that it is seen from a point to the right of it, and at a mine what number of pounds of the third must be mixed with height above the horizontal plane equal to the height of the these, so as to satisfy the required condition. As the simplest pyramid.

case, suppose we take 1 pound of each of the first two kinds. We will merely add that as no definite scale is given with the Then we have above problem, the pupil can please himself as to the size, only he Number of pounds of the third x 4d. = 8d. + 20. = 100. ; or, must take care to observe the proportions mentioned. The ex

number of pounds of the third = 2. pression “the horizontal plane ” means the ground upon which

Now 1:1:1 are in the proportion of 2:2: 5. it stands. The question is taken from one of the Military Hence 2 pounds of the first, 2 pounds of the second, and 7 pounds of Examination Papers.

the third will form a mixture worth 4s. 20. a pound.

7. EXAMPLE.--How may wines at 15s., 18s. 6d., 20., 26., LESSONS IN ARITHMETIC.—XL.

and 30s. a gallon respectively, be mixed so as to form a mixture

worth 24s, a gallop ? AVERAGES, ETC. 3. THE Average, or Mean, of any set of numbers is the number. The first three are in defect, the differences being 98. 58. 6d., and 48.

respectively; and the last two are in excess, the differences being obtained by dividing their sum by the number of different quan- 28. and 6s. tities forming the set. It is that number which, if placed in Taking 1 gal. of each of the first four kinds, we must have the position of each of the quantities forming the set, will,

9 + 5} + 4 = 2 + no. of gals. of last * 6. when added together, give the same result as the original quan

9 + 5} + 4 - 2 Hence

will give the number of gallons of the last kind, tities, when treated in the same manner. EXAMPLE 1.-A man spends, in seven successive years,

the

which, mixed with one gallon of each of the others, will produce following sums :-£200, £250, £300, £320, £180, £330, £210.

a mixture worth 24s. a gallon.

This reduces to V: What is his average or mean annual expenditure during that

Honce 4 gallons of each of the first four kinds mixed with 11 gallons time ?

of the last will fulfil the required condition, 200 + 250 + 300 + 320 + 180 + 330 + 210 The answer is

8. These examples will sufficiently explain the following which is £255.

Rule for determining a proportion of Ingredients at Different If he spent £2554 every year, he would in seven years have Prices, to form a Mixture at a Given Price. spent the same sum as he actually spent in that time.

Divide the differences from the average price into two setsEXAMPLE 2.-Out of 20 men, 6 die at 25 years of age, 3 at those which are in excess, and those which are in defect. 30, 4 at 35, and 7 at 40. What is the average duration of (1.) When there are only 3 ingredients. their lives ?

Add together the two differences which are of the same kind, The total number of years they live is

and divide this sum by the third difference. This will give the (6 x 25) + (3 x 30) + (* * 35) + (7 X 40),

quantity of the last, which must be mixed with one unit of each which is 660 years.

of the former. Hence the average required is -, or 33 years. - Answer.

(2.) When there are more than 3 ingredients. 4. EXAMPLE.—How may a mixture of tea at 33. 3d. a pound Add one set together, and subtract from the result the sum of and tea at 4s. 9d. a pound be made so as to produce a mixture the other set with one difference omitted. This result, divided worth 4s. 6d. a pound ?

by the omitted difference, will give the quantity of this last, We shall call 4s. Od. the average price.

which must be mixed with one unit of each of the former. The tea at 3s. 3d. a pound is ls. 3d. a pound cheaper than the

EXERCISE 61. mixture; The tea at 48. 9d. a pound is 3d. a pound dearer than the mixture.

1. Find the average of 3, 4, 5, 6, and 7.

2. Find the average of 25, 34, 19, 0, 12, and 5. It is evident that the amount by which the cost of the number of

3. Find the average of 11}, 4., 039, 0, 3.625, and 41. pounds of the first kind is less than the cost of the same num- 4. A master pays his labourers as follows: 20 receive 7s, a rock,

6

.

15 receive 125. a week, and 10 receive 188. a week. What is the ave- gested, by the other :-"Of those (Spaniards) whom they (the rage price per week of a labourer's wages ?

Indians) caught alive, especially the captains, they used to tio 3. jrd of a property pays 3 per cent. ; ith 4 per cent., įth 5 per the hands and feet, throw them down on the ground, and pour cent., and the remainder 6 per cent. What is the average per-centage gold into their mouth, saying, 'Eat, eat gold, Christian ;' and received ? 6. The populations of 4 parishes are 4,520, 3,250, 1,200, and 850 re

the more to ill-treat and disgrace them, with knives made of spectively. When they have increased respectively 5, 10, 15, and 20 flint, some out off an arm, some a shoulder, others a leg, and then per cent., find the average population of the 4 parishes; ind also roasting it on the embers, eat it, dancing and singing, suspend. the average increase per cent.

ing the bones in their temples, or in the houses of their chiefs, 7. How may three kinds of coffee 18., 4d., and 25. a pound as trophies of victory." be mixed, so as to produce a coffee worth ls. 6d. a pound ?

It is a sad and singular history, that of the conquest and pos8. Find a way in which sugar at 21d., 30., 34d., and 4d. a pound session of the West Indies and America by the Spaniards. To may be mixed, so that the mixture will be worth £1 108. 4d. a cwt.

the history of maritime discovery belongs the narrative of the 9. A vintner mixes wine at 158., 208., and 248. & gallon respectively, actual discovery, the story of the nautical difficulties encountered in the proportions 5:3:1. What must be sell the mixture at to gain and surmounted, of the superstitious fears of sailors for the first 20 per cent. ?

10. How may spirits at 158., 16., 178., and 228. a gallon respec- time venturing into unknown waters, upon whose surface brooded tirely be mixed with water so that the mixture may be worth (1)| (so the wiseacres reported) the numerous fiends and giants who 105. (2) 185. a gallon ?

acknowledged the dominion of the Prince of the power of

the air, and who waited impatiently for the presumptuous visit KEY TO EXERCISES IN LESSONS IN ARITHMETIC.-XXXIX. of the voyagers, utterly to destroy them and swallow them up. EXERCISE 60.

To the same department must be relegated the task of recording 1. 3:18., 21; 6., 181 s., 16,0 s. 4. £24675, 27615, £246}, £23018. how the discoverer Columbus was cheated of immortalising 2. £2413}, £34434, £113;%.

5. £750 each.

his name by giving it to the new continent, and of relating the 3. £48, 272, £14

6. £180, £360, £270, £90. manner in which the great seaman was rewarded. It is proposed

here simply to give a slight sketch of the Spanish doings in HISTORIC SKETCHES.-XXX.

America and the Indies after obtaining possession of them, how

they furiously raged together, imagined all sorts of vain things, THE SPANIARDS IN AMERICA,

and how in the end the power was reft from them. "And there being among the Spaniards some who are not only The first permanent settlement made in the West was on cruel, but very cruel, when a man occasionally wished to punish a Haiti, or as Columbus callod it, La Isla Española, of which slave, either for some crime that he had committed, or for not Bartholomew Columbus was made governor on his brother having done a good day's work, or for spite that he had towards Christopher's return to Spain. During his administration all him, or for not having extracted the usual quantity of silver or went well with the colony, the Indians wondering at the bearded gold from the mine, when he came home at night, instead of men who had come they knew not from whence with iron giving him supper, he made him undress, if he happened to have tubes from which they hurled lightnings, and by the aid of a shirt on, and being thrown down on the ground, he had his which they made noises like thunder ; but discord sprung up hands and feet tied to a piece of wood laid across, so permitted before Christopher's return, the Spaniards ill-used the women, under the rule called by the Spaniards the law of Baiona-a law beat the men, and otherwise behaved oppressively; and the suggested, I think, by some great demon; then with a thong or Indians having ascertained, by the purely philosophical process rope he was beaten, until his body streamed with blood; which of holding a Spaniard under water for ten minutes, that the done, they took a pound of pitch or a pipkin of boiling oil, new-comers were mortal, rose against them when familiarity and threw it gradually all over the unfortunate victim; then he had somewhat taken away the dread of them, and killed some was washed with some of the country pepper mixed with salt and of the garrison. water. He was thus left on a plank covered over with a cloth, So long as Columbus and his brother remained in authority until the master thought he was able again to work. Others the Indians had tolerable treatment, for the influence of the dug a hole in the ground and put the man in, upright, leaving two, weakened though it was by jealousies and mutinies, whiclı only his head out, and left him in all night; the Spaniards saying sprang up among the Spaniards, was strong enough to hold the that they have recourse to this cure because the earth absorbs greater part of the adventurers in check; but when Spanish the blood and preserves the flesh from forming any wound, governors came to be in power, and every consideration was sacriso they get well sooner. And if any die (which sometimes ficed to the greed for gold, the most merciless demands for life happens) through great pain, there is no heavier punishment by were made in order to supply the slave labour necessary for the law than that the master shall pay another slave to the king.working of the mines. So rapid was the loss of life from this

Thus wrote Girolamo Benzoni the Milanese, who, in the year cause--for the Indians had never been accustomed to such 1541, "started from Milan in the name of God, the sustainer severe work—that in a few years Haiti was all but depopulated, and governor of all the universe," to seek his fortune or what and the Spaniards brought in slaves from the neighbouring ever might present itself to him in the newly-discovered pos- islands and from the mainland to fill their place. Porto Rico, sessions of the Spaniards across the Atlantic. Benzoni was, to Cuba, Jamaica, and all the lesser islands were brought under the judge from his own account of his travels, a perfectly ingenuous yoke ; Jamaica, which was densely populated, but which did not man, who mentioned gravely and without aiming at effect yield gold, being made the slave-mart for the gold-seekers, who whatever came under his notice, nothing extenuating nor setting caught the people as they would have snared so many wild down aught in malice. He was not particularly squeamish beasts, and shipped them off to the islands where the mines about what he did or what others did, though he appears to have were. Haiti remained for many years the head-quarters of the had what was lacking in the Spanish composition-some of the Spanish Government in the West Indies, but when the attrac. feelings of the human heart. He is, therefore, a very fair, un- tions of the mainland of Mexico, Peru, and Chili had drawn prejudiced witness in respect of the Spanish treatment of the away many Spaniards, and the negroes imported from Africa Indians, who, he tells us in another place, would often rather began to be more numerous than consorted with the safety of hang themselves and their children in the woods, or leap down the whites, the island was virtually abandoned, and each sepachasms from the top of rocks, than fall into the hands of the rate governor of an island or a province received his orders Spaniards. His testimony is moreover abundantly confirmed by direct from Spain. that of many others equally disinterested—by Las Casas, who The Spaniards having spoiled all the islands of the West 50 pitied the Indians that he suggested (all innocent of intend-Indies—those which yielded gold for sake of the gold, and ing the slave-trade horrors) the importation of negroes from those which yielded only slaves for sake of the slaves--turned Africa as a remedy for the decimation the natives were under their attention to the mainland, which hitherto they had not going under Spanish rule; by Sir Walter Raleigh, who, on thoroughly explored. Balboa, an independent pioneer, made a putting into Trinidad, found the Spanish governor chaining settlement on the Isthmus of Darien, and having there learned Indian chiefs to stakes placed in the sun, and basting

their that on the other side of the isthmus was a kingdom in which bodies with burning bacon, in order to induce them to show any quantity of gold was to be had for the seeking, sent where their gold was.

to Isla Española for reinforcements, and went meantime him. Here is another picture, not justified perhaps, though sug- self with a small body of men to where the mighty Pacific was

first revealed to the eyes of a European. Gathering as much sor of Montezuma was put to death by slow torture, multitudes gold as he could get, and which the native chiefs freely gave him, of Mexicans were slain, and possession was formally taken of he returned for assistance, not daring with his few friends to the country as a dependency of Spain. draw down the hostility of the wealthy nation which he under. Twelve years after Cortez had landed at Vera Cruz, Pizarro stood was also exceedingly strong. On April 2, 1519, an ex. in 1531) arrived with a small force on the coast of Peru, and tensive expedition which had been fitted out in the ports of dissembling his object from people who probably did not know Cuba, and which sailed under the command of Fernando Cortez, what had befallen Mexico, advanced inland, pretending that he landed on the coast of Yucatan, and was well received by the would mediate between Huascar and Atahualpa, sons of the natives. Cortez immediately formed an entrenched camp, which late Inca or king, who were striving for the mastery. Atahualpa subsequently became the city of Vera Cruz, and having esta- had the upper hand, and Pizarro managed to get his con. blished himself there began to negotiate for an interview with sent to an interview, at which the intention was to seize the Montezuma, the emperor of the country.

Inca, and hold him as a hostage and as a lever of power. At Whether the Mexicans suspected the character of the wolves the meeting the Inca was informed that Alexander VI., Pope of who came to them in sheep's clothing; whether the Spaniards, Rome, had given Peru and all the other kingdoms in America as is most likely, did not refrain from acts of violence even at to the Spaniards ; that the Pope of Rome was lord of the whole the beginning of their occupation; or whether it was from fear earth by virtue of his being vice-gerent of Christ, of whom of the firearms which so greatly astonished the people, the until this moment the Inca had never heard. Atahualpa was Mexicans held back from this proposal. Montezuma sent rich required to acknowledge the supremacy of the King of Spain, presents which only inflamed the greed of the Spaniards, and and to be baptised into the Christian faith. On the luckless Cortez, after entering into alliances with tribes discontented man treating these modest demands with derision, a tumult was with the government, marched inland with 500 foot soldiers, raised, a heavy fire of musketry and artillery was opened on the fifteen horsemen, and six pieces of cannon. With such a force Peruvians, and Atahualpa was seized and loaded with irons, he proposed to himself the conquest of a populous and power-Cruel as had been the conduct of the Spaniards in Mexico, it was ful empire. By striking terror into opponents who had never very cruel in Peru; the grossest frauds were practised on the soen a gun fired until now, by artifice, by playing off hostile natives, who were reduced to the most dreadful form of slavery, chiefs one against the other, Cortez marched on, his admiration and compelled to yield forced labour. Atahualpa was made to being excited at every step by the magnificence of the scenery, pay as ransom a room full of bars of gold, and then, the gold and his cupidity aroused by the signs which he daily saw of the having been received, he was strangled, and his body burned at enormous wealth of the soil. After short sojourns in some of a stake. Furious dissensions arose among the Spaniards about the cities which fell before him like snow before the sun, he ad the division of the spoil ; Pizarro was murdered, his murderer vanced to the city of Mexico, in the environs of which Montezuma succumbing in turn to some other ruffian, and a long period of came out to meet him in friendly sort, with barbaric but splendid anarchy and bloody revolution ensued, during which the native state, and magnificent gifts. The emperor was so gracious and Peruvians suffered from each successive ruler, hospitable that Cortez had much difficulty in knowing how even Besides the West Indies, Mexico, Peru, and Chili, the Spaniards he was to begin playing the villain. The Spaniards were did not care for their other possessions in America, which fell in brought into the city, lodged, fed, and clothed, and all that they course of time under the dominion of the English, French, and wanted was supplied to them. Cortez resolved to avail himself Dutch, and include at the present day the whole of the United of an outrage on some Spaniards on the coast to possess him. States of America. self of the person of Montezuma. He first complained of What of all they once held do the Spaniards retain at this the outrage and demanded the punishment of the murderers, who, moment ? Cuba only, and Porto Rico. Ruthless, selfish govern. including a cacique or chief, were brought to Mexico and burned ment like that they set up, practices subversive of all good such alive as a punishment; but the sufferers having averred, truly as they practised, could bring about but one conclusion. Even or not, that what they had done was by. Montezuma's own in Benzoni's time (1550), the demoralisation was such that“ many order, Cortez seized the emperor, and kept him a prisoner in Spaniards prophesied for certain that the island (Isla Española) irons in the Spanish quarters. He wrote to the King of Spain, in a short time will fall entirely into the hands of these blacks" telling him what he had done, and how that he had done it for (imported Africans), and such has been its fate after many and the better security of the lives of the Spaniards in Mexico, and deadly struggles between Spaniards, French, and English for for the purpose of more effectually bringing the empire under the mastery there. When the news of the French Revolution the dominion of the Spanish king. The enormous consignments in 1789 reached the island, the French being then masters, the of gold sent to Europe astonished the Old World folk, and population rose en masse, and in the awful massacre of San attracted thousands of them across the water. The gold itself Domingo repaid the wrongs of centuries. Jamaica was taken was spent in attempts to found universal dominion, and in from Spain by commanders sent by Cromwell, and since that endeavours, continued through many years, to crush out as a time successive conquests have stripped her of all but Cuba plague the spirit of liberty both in church and state. In Mexico, and Porto Rico, the only remaining homes of slavery, Brazil after the imprisonment of Montezuma, the Mexicans were com- excepted, in the civilised world. pelled to be the slaves of the Spaniards and to work their own Mexico, Peru, and Chili remained under the curse of Spanish gold mines for them. The waste of life became as prodigious rule till quite recent times; but the bursting of the old bands of as in the West India Islands, and the sufferings of the people tyranny in Europe by Napoleon Bonaparte loosened them indi. so great that the Spanish priests remonstrated, and orders were rectly in America. As soon as it was known in Mexico (in 1808) obtained from the Pope and from the King of Spain for the that the Spanish Bourbons were overthrown, the viceroy called better treatment of the Indians. But such orders to a man like on the people to support King Ferdinand, but when they rose Cortez were as nothing, and the state of the poor people grew to do so the Spanish colonists resented their interference, though worse and worse. They had resolved at any cost to get rid of their it was on their own behalf. * No native American shall partyrants, when Cortez was called away from the capital to fight a ticipate in the government so long as there is a mulo-driver in Spanish expedition which had been sent from Cuba, the gover- La Mancha, or a cobbler in Castile, to represent Spanish as. nor of which thought fit to override the authority of Cortez, and cendaney.” In this spirit the Spaniards in Mexico conducted to seek himself to gather where he had not sown. Cortez themselves, and the result was that after three formidable insardefeated the expedition, killed its leader, and induced the rections, bloodily suppressed, Iturbide, a native Mexican, so soldiers to enlist under him.

gathered up the national party into his hands that he drove the On his return to Mexico city his quarters were assailed by a Spaniards out, and received on the 27th of November, 1821, the vast multitude of Mexicans, desperate at the return of their surrender of the capital on condition that the Spaniards should dreadful enemy, and bent on his destruction. In vain did forth with leave the country. Cortez try everything that skill or valour could dictate, in vain After passing through a dreadful ordeal analogous to the did he bring out Montezuma on the ramparts to quiet the above, Peru and Chili, making common cause, throw off the people. Montezuma was killed by a missile Aung by one of his Spanish yoke, and on the 26th of February, 1826, compelled own subjects, and Cortez and his followers had to cut their way the surrender of Callao, the last foothold of the Spaniards on out of the city. In due time he returned with fresh troops the territories won for them by Cortez and Pizarro. So may tho procured from Isla Española, and captured the city; the succes. | dominion of all oppressors and wrong.doers perish.

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