Elements of Geometry and Trigonometry |
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Page 10
The point of intersection A is the vertex of the angle , and the lines AB , AC , are its sides . 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 point of intersection A is the vertex of the angle , and the lines AB , AC , are its sides . 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 ...
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 12
that is to say , when following their perimeters in the same direction , the first side of the one is equal to the first side of the ... In both cases , the equal sides , or the equal angles , are named homologous sides or angles .
that is to say , when following their perimeters in the same direction , the first side of the one is equal to the first side of the ... In both cases , the equal sides , or the equal angles , are named homologous sides or angles .
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 other , each to each , the two triangles will be equal . Let the side ED be equal to the side BA , the side DF to the ...
If two triangles have two sides and the included angle of the one , equal to two sides and the included angle of the other , each to each , the two triangles will be equal . Let the side ED be equal to the side BA , the side DF to the ...
Page 17
DF is equal to AC ; therefore , the point F will fall on C , and the third side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor .
DF is equal to AC ; therefore , the point F will fall on C , and the third side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor .
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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 |