Elements of Geometry and Trigonometry |
From inside the book
Page 162
... bases ; and therefore the section fgh will be to the section abcde as the base FGH is to the base ABD ( Prop . III . ) , and since the bases are equivalent , the sections will be so likewise . Hence the pyramids S - abcde , T - fgh are ...
... bases ; and therefore the section fgh will be to the section abcde as the base FGH is to the base ABD ( Prop . III . ) , and since the bases are equivalent , the sections will be so likewise . Hence the pyramids S - abcde , T - fgh are ...
Page 173
... base multiplied by a third of its altitude . Let SO be the altitude of a cone , OA the radius of its base , and let the area of the base be designated by area OA : it is to be proved that the solidity of the cone is equal to area OAXSO ...
... base multiplied by a third of its altitude . Let SO be the altitude of a cone , OA the radius of its base , and let the area of the base be designated by area OA : it is to be proved that the solidity of the cone is equal to area OAXSO ...
Page 288
... base being 15 inches , and each side of the upper base 6 inches , the altitude being 24 feet . Ans . 19.5 . 2. Required the solidity of a pentagonal frustum , whose altitude is 5 feet , each side of the lower base 18 inches , and each ...
... base being 15 inches , and each side of the upper base 6 inches , the altitude being 24 feet . Ans . 19.5 . 2. Required the solidity of a pentagonal frustum , whose altitude is 5 feet , each side of the lower base 18 inches , and each ...
Contents
Ratios and Proportions | 34 |
The Circle and the Measurement of Angles | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface Cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm M.
M. Sine number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism vertex
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |