Elements of Geometry and Trigonometry |
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Page 10
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
When two straight lines , AB , AC , meet each other , their inclination or opening is call- ed an angle , which is greater or less as the lines are more or less inclined or opened . The point of intersection A is the vertex of the angle ...
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 13
The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12.
The whole is greater than any of its parts . 9. The whole is equal to the sum of all its parts . 10. All right angles are equal to each other . 11. From one point to another only one straight line can be drawn . 12.
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 line AB is the shortest dis- tance ...
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 line AB is the shortest dis- tance ...
Page 19
Conversely , if two sides BA , AC , of the triangle BAC , are equal to the two ED , DF , of the triangle EDF , each to each , while the third side BC of the first triangle is greater than the third side EF of the second ; then will the ...
Conversely , if two sides BA , AC , of the triangle BAC , are equal to the two ED , DF , of the triangle EDF , each to each , while the third side BC of the first triangle is greater than the third side EF of the second ; then will the ...
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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 |