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 .. -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 .. -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 di- rection , 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 di- rection , 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
F F 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 ...
F F 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 ...
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 construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |