Elements of Geometry and Trigonometry |
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Page 11
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
An equilateral triangle is one which has its three sides equal ; an isosceles triangle , one which has two of its sides equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has ...
Page 16
If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of the ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of the ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
Page 17
therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the remaining three are also ...
therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the remaining three are also ...
Page 18
The sum of any two sides of a triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the shortest distance ...
The sum of any two sides of a triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the shortest distance ...
Page 19
1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as ...
1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as ...
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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 |