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 12
To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . The sign is called plus : it indicates addition . The sign is called minus : it indicates subtraction .
To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the vertex of the angle . The sign is called plus : it indicates addition . The sign is called minus : it indicates subtraction .
Page 20
Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A 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. A 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 30
If from the vertex of any one angle A , diagonals B. AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided into five triangles , if it has seven sides ; into six ...
If from the vertex of any one angle A , diagonals B. AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be divided into five triangles , if it has seven sides ; into six ...
Page 41
An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . * Note . In common language , the circle is sometimes confounded with its circumference : but the correct expression may ...
An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . * Note . In common language , the circle is sometimes confounded with its circumference : but the correct expression may ...
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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 |