Elements of Geometry and Trigonometry |
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Page 190
Every arc DM , drawn from a point in the arc of a great circle AMB to its pole , is a quarter of the circumference , which for the sake of brevity , is usually named a quadrant : and this quadrant at the same time makes a right angle ...
Every arc DM , drawn from a point in the arc of a great circle AMB to its pole , is a quarter of the circumference , which for the sake of brevity , is usually named a quadrant : and this quadrant at the same time makes a right angle ...
Page 191
... with a distance equal to a quadrant ; the pole D being found , we might describe the arc AM and its prolongation ... to let fall a perpendicular on the given arc AM ; find a point on the arc AM at a quadrant's distance from the ...
... with a distance equal to a quadrant ; the pole D being found , we might describe the arc AM and its prolongation ... to let fall a perpendicular on the given arc AM ; find a point on the arc AM at a quadrant's distance from the ...
Page 192
B D A B K Z I G F H For , the point A being the pole of the arc EF , the distance AE is a quadrant ; the point C being the pole of the arc DE , the distance CE is likewise a quadrant : hence the point E is removed the length of a ...
B D A B K Z I G F H For , the point A being the pole of the arc EF , the distance AE is a quadrant ; the point C being the pole of the arc DE , the distance CE is likewise a quadrant : hence the point E is removed the length of a ...
Page 193
But the arc EH is a quadrant , and likewise GF , E being the pole of AH , and F of AG ; hence EH + GF is equal to a semicircumference . Now , EH + GF is the same as EF + GH ; hence the arc GH , which measures the angle A , is equal to a ...
But the arc EH is a quadrant , and likewise GF , E being the pole of AH , and F of AG ; hence EH + GF is equal to a semicircumference . Now , EH + GF is the same as EF + GH ; hence the arc GH , which measures the angle A , is equal to a ...
Page 199
If the triangle ABC is bi - rectangular , in other words , has two right angles B and C , the vertex A will be the pole of the base BC ; and the sides AB , AC , will be quadrants ( Prop . V. Cor . 3. ) B If the angle A is also a right ...
If the triangle ABC is bi - rectangular , in other words , has two right angles B and C , the vertex A will be the pole of the base BC ; and the sides AB , AC , will be quadrants ( Prop . V. Cor . 3. ) B If the angle A is also a right ...
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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 |