Elements of Geometry and Trigonometry |
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Page 10
Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A angles DCE ...
Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A angles DCE ...
Page 12
Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is ...
Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is ...
Page 34
Thus , if A and B rep- resent quantities of the same kind , the ratio of A to B is ex- B pressed by Α ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
Thus , if A and B rep- resent quantities of the same kind , the ratio of A to B is ex- B pressed by Α ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
Page 35
If there be four magnitudes A , B , C , and D , having such B D values that is equal to then A is said to have the same ratio A C ' to B , that C has to D , or the ratio of A to B is equal to the ratio of C to D. When four quantities ...
If there be four magnitudes A , B , C , and D , having such B D values that is equal to then A is said to have the same ratio A C ' to B , that C has to D , or the ratio of A to B is equal to the ratio of C to D. When four quantities ...
Page 36
When four quantities are in proportion , the product of the two extremes is equal to the product of the two means . Let A , B , C , D , be four quantities in proportion , and M : N :: P : Q be their numerical representatives ; then will ...
When four quantities are in proportion , the product of the two extremes is equal to the product of the two means . Let A , B , C , D , be four quantities in proportion , and M : N :: P : Q be their numerical representatives ; then will ...
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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 |