A Complete Treatise on Practical Mathematics: Including the Nature and Use of Mathematical Instruments: Logarithmic Tables, Trigonometry, Mensuration of Heights and Distances,--of Surfaces & Solids, Land Surveying, Gunnery, Gauging, Artificer's Measuring, Miscellaneous Exercises. With an Appendix on Algebra ... Principally Designed for the Use of Schools and AcademiesBell and Bradfute, 1792 - 431 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 48
... feet broad : from the other fide of the ditch , the tower fubtends an angle of 53 ° 13 ' . Required the height of the tower , also the length of a ladder fufficient to fcale the tower . See fig . 58. plate 4 . To find the height of the ...
... feet broad : from the other fide of the ditch , the tower fubtends an angle of 53 ° 13 ' . Required the height of the tower , also the length of a ladder fufficient to fcale the tower . See fig . 58. plate 4 . To find the height of the ...
Página 52
... feet . 50.86 feet . Their diftances from one another 51.04 feet . EXAMPLE VI . Plate 5. fig . 4 • Wanting to know the distance between a house and a tree , the tree being on the other fide of a river ; I took my firft fta- tion at the ...
... feet . 50.86 feet . Their diftances from one another 51.04 feet . EXAMPLE VI . Plate 5. fig . 4 • Wanting to know the distance between a house and a tree , the tree being on the other fide of a river ; I took my firft fta- tion at the ...
Página 56
... feet of the fame measure ; from which it follows , that if the earth be an exact sphere , the circumference of a great ' circle of it , will be 123.249,600 Paris fect , and the semi- diameter of the earth , 19.615,800 feet : but the ...
... feet of the fame measure ; from which it follows , that if the earth be an exact sphere , the circumference of a great ' circle of it , will be 123.249,600 Paris fect , and the semi- diameter of the earth , 19.615,800 feet : but the ...
Página 57
... feet , I fixed my staff perpendicular to the ho- rizontal plane , the length of the staff , is 4 feet , and of the fhadow , 6 feet , required the height of the steeple . 64 200 4 800 100 6,900 Anf . 150 feet I HEIGHTS AND DISTANCES . 57 ...
... feet , I fixed my staff perpendicular to the ho- rizontal plane , the length of the staff , is 4 feet , and of the fhadow , 6 feet , required the height of the steeple . 64 200 4 800 100 6,900 Anf . 150 feet I HEIGHTS AND DISTANCES . 57 ...
Página 58
... feet high . PROBLEM V. To measure the height of an object , by a plane mirror , or by a bucket full of water . See fig . 69 Place the mirror or bucket between you and the object . So that the top of the object may appear in the middle ...
... feet high . PROBLEM V. To measure the height of an object , by a plane mirror , or by a bucket full of water . See fig . 69 Place the mirror or bucket between you and the object . So that the top of the object may appear in the middle ...
Contenido
217 | |
223 | |
245 | |
273 | |
279 | |
290 | |
303 | |
311 | |
65 | |
63 | |
57 | |
117 | |
117 | |
130 | |
162 | |
168 | |
174 | |
180 | |
187 | |
194 | |
201 | |
207 | |
321 | |
337 | |
343 | |
351 | |
359 | |
366 | |
372 | |
385 | |
392 | |
398 | |
412 | |
418 | |
424 | |
Términos y frases comunes
abfciffa acres againſt alfo alſo altitude amplitude axis bafe baſe becauſe breadth centre chain chord of half circle circumference Co-fec Co-tan column cone conjugate cube defcribe dift diſtance divide divifor elevation Engliſh equal Euclid EXAMPLE fame fecond fegment fhall fimilar find the area find the folidity firſt fquare root fquare yards fruftum ftraight line fubtract fuch fuperficies furface girt given greateſt half the arch height horizontal houſe hypothenufe inftrument laft acquired velocity laſt lefs logarithm malt bufhels meaſure obferved off-fets oppofite ordinate parabolic perpendicular plane Plate quantity quotient rectangle Required the area Required the content Required the folidity rhombus right angles RULE Secant Secant Co-fec ſpace ſphere ſpindle ſquare ſteeple Suppofe tangent theodolite theſe thickneſs tranfverfe trapezium triangle triangular uſed verfed whofe diameter whofe fide whofe length whoſe wine gallons
Pasajes populares
Página 27 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Página 115 - Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 3 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 232 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Página 1 - ... common to the two triangles AFE, BFE, there are two sides in the one equal to two sides in the other, each to each ; and the base EA is equal to the base EB ; (i.
Página 38 - BG; that is, the fum of the fides is to their difference, as the tangent of half the fum of the angles at the bafe to the tangent of half their difference.
Página 372 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained...
Página 38 - AB the greater side for a distance, let a circle be described, meeting AC, produced in E, F, and BC in D; join DA, EB, FB; and draw FG parallel to BC, meeting EB in G. The angle EAB (32.
Página 38 - ACB (32. 1.) is equal to the angles CAD and ADC, or ABC together ; therefore FAD is the difference of the angles at the...
Página 395 - TO divide a given ftraight line into two parts, fo that the rectangle contained by the whale, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB...