Elements of Geometry and Trigonometry |
From inside the book
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 15
... form one and the same straight line . PROPOSITION IV . THEOREM . When two straight lines intersect each other , the opposite or vertical angles , which they form , are equal . Þ Let AB and DE be two straight A lines , BOOK I. 15.
... form one and the same straight line . PROPOSITION IV . THEOREM . When two straight lines intersect each other , the opposite or vertical angles , which they form , are equal . Þ Let AB and DE be two straight A lines , BOOK I. 15.
Page 16
Take away from both , the common angle ACE , there remains the angle ACD , equal to its opposite or vertical angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other ...
Take away from both , the common angle ACE , there remains the angle ACD , equal to its opposite or vertical angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other ...
Page 20
It may be observed that the equal angles lie opposite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XI . THEOREM . In an isosceles triangle , the angles opposite the ...
It may be observed that the equal angles lie opposite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XI . THEOREM . In an isosceles triangle , the angles opposite the ...
Page 21
Conversely , if two angles of a triangle are equal , the sides opposite them are also equal , and the triangle is isosceles . Let the angle ABC be equal to the angle ACB ; then will the side AC be equal to the side AB .
Conversely , if two angles of a triangle are equal , the sides opposite them are also equal , and the triangle is isosceles . Let the angle ABC be equal to the angle ACB ; then will the side AC be equal to the side AB .
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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 |