## An Easy Introduction to the Mathematics: In which the Theory and Practice are Laid Down and Familiarly Explained ... A Complete and Easy System of Elementary Instruction in the Leading Branches of the Mathematics; ... Adapted to the Use of Schools, Junior Students at the Universities, and Private Learners, Especially Those who Study Without a Tutor. In Two Volumes, Volumen2Bartlett and Newman ; [etc., etc..], 1814 |

### Dentro del libro

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**angles**. Pythagoras " was**another**eminent Grecian philosopher , who ing his own country afforded , he travelled in the East , and returned**with**a mind enriched ...**with an equal**thirst for useful knowledge , 214 PART VIII . INTRODUCTION . Página 244

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**with**three legs , for taking three points at once . 6. Turn - up Compasses**are**the plain compasses ,**with two**additional points fixed near the bottom of the legs , the**one**carrying a port crayon , and the**other**a drawing pen ; these**are**... Página 245

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**one**side , a line of 6 inches , a line of 50**equal**parts , and a diagonal scale . On the**other**side it**has**a line of chords marked C , and seven decimal scales of various sizes . The line or scale of inches**has each**inch divided into 10 ... Página 252

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**angles**; but they agree in**one**general character , they**are**both figures . A lion and a sheep differ widely from**each other**...**have**no existing pattern or architype : we can form in the mind the abstract idea of a triangle , viz .**one**that ... Página 264

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**two angles are**formed at the point where they meet ; if these angles be**equal**to**each other**, they**are**called right ...**other**defini- tions**are**usually called metaphysical ; they**are**employed in**all**cases where geometrical definitions ...### Otras ediciones - Ver todas

### Términos y frases comunes

Algebra altitude base bisected called centre chord circle circumference CN² co-sec co-sine co-tan compasses Conic Sections conjugate hyperbola cube cubic cubic equation curve described diameter difference distance divided draw drawn EC² ellipse equal Euclid Euclid's Elements EXAMPLES.-1 find the area former Geometry given equation given straight line greater Hence hyperbola inches infinite series latter latus rectum likewise logarithms measure method multiplied odd number parabola parallel parallelogram perpendicular plane PN² polygon problem prop proportionals proposed proposition protractor Q. E. D. Cor quadrant quotient radius rectangle regular polygon right angles roots rule scale secant shewn sides sine solidity square substituted subtracted tangent theor theorems third triangle unknown quantity VC² versed sine whence wherefore whole numbers

### Pasajes populares

Página 320 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.

Página 405 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.

Página 287 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

Página 66 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.

Página 272 - But things which are equal to the same are equal to one another (Ax.

Página 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.

Página 263 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.

Página 281 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.

Página 294 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.

Página 190 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of