Elements of Geometry and Trigonometry |
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Page 4
It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important demonstrations in Book VIII . Book II . , on Ratios and Proportions , has been ...
It is proved in the corollaries that a polygon of an infinite number of sides becomes a circle , and this principle is made the basis of several important demonstrations in Book VIII . Book II . , on Ratios and Proportions , has been ...
Page 16
A In general , if any number of straight lines CA , CB , CD , & c . meet in a point C , the sum of all the ... If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of the other ...
A In general , if any number of straight lines CA , CB , CD , & c . meet in a point C , the sum of all the ... If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of the other ...
Page 30
... equal to two right angles , taken as many times less two , as the figure has sides . ... taken as many times as there are triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor .
... equal to two right angles , taken as many times less two , as the figure has sides . ... taken as many times as there are triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor .
Page 53
The arcs AB , AI , will be to each other as two whole numbers , and by the preceding theorem , we shall have , the angle ACB ... Since the angle at the centre of a circle , and the arc intercepted by its sides , have such a connexion ...
The arcs AB , AI , will be to each other as two whole numbers , and by the preceding theorem , we shall have , the angle ACB ... Since the angle at the centre of a circle , and the arc intercepted by its sides , have such a connexion ...
Page 68
Any two sides , or any two angles , which have like positions in two similar figures , are called homologous sides or angles . A 3. ... The area is expressed numeri3 cally by the number of times which the figure contains 88 GEOMETRY .
Any two sides , or any two angles , which have like positions in two similar figures , are called homologous sides or angles . A 3. ... The area is expressed numeri3 cally by the number of times which the figure contains 88 GEOMETRY .
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
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 |