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 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 . is called plus : it indicates addition . The sign 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 . is called plus : it indicates addition . The sign 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. 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. 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 p , AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be divided into five triangles , if it has seven sides ; into six ...
If from the vertex of any one angle A , diagonals p , AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the polygon will be divided into five triangles , if it has seven sides ; into six ...
Page 41
A portion of the circumference , such as FHG , is called An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight ...
A portion of the circumference , such as FHG , is called An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight ...
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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 |