Elements of Geometry and Trigonometry |
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Page 9
The extremities of a line are called points : a point , therefore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4.
The extremities of a line are called points : a point , therefore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4.
Page 10
When two straight lines , AB , AC , meet each other , their inclination or opening is called an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
When two straight lines , AB , AC , meet each other , their inclination or opening is called an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
Page 11
The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal ...
The side opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal ...
Page 12
A theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solution . A lemma is a subsidiary truth , employed for the demonstration of a ...
A theorem is a truth , which becomes evident by means of a train of reasoning called a demonstration . A problem is a question proposed , which requires a solution . A lemma is a subsidiary truth , employed for the demonstration of a ...
Page 35
To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are called the terms of the ...
To indicate that the ratio of A to B is equal to the ratio of C to D , the quantities are usually written thus , A : B :: C : D , and read , A is to B as C is to D. The quantities which are compared together are called the terms of the ...
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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 |