Elements of Geometry and Trigonometry |
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Page 10
A4 B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities ...
A4 B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities ...
Page 20
Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to ...
Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to ...
Page 23
If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular ...
If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular ...
Page 24
Let AB be the given straight line , C the middle point , and ECF the perpendicular . First , Since AC = CB , the two oblique lines AD , DB , are equally distant from the perpendicular , and therefore equal ( Prop . XV . ) .
Let AB be the given straight line , C the middle point , and ECF the perpendicular . First , Since AC = CB , the two oblique lines AD , DB , are equally distant from the perpendicular , and therefore equal ( Prop . XV . ) .
Page 25
... making the sum of the interior angles on the same side of the line met , equal to two right angles , the two lines will be parallel . E A G O F C B From G , the middle point of BA , draw the straight line EGF , perpendicular to EC .
... making the sum of the interior angles on the same side of the line met , equal to two right angles , the two lines will be parallel . E A G O F C B From G , the middle point of BA , draw the straight line EGF , perpendicular to EC .
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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 |