Elements of Geometry and Trigonometry |
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Page 10
Thus the angle DCE is the sum of the two angles DCB , BCE ; and the angle DCB is the difference of the two A angles DCE , BCE . 10. When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC ...
Thus the angle DCE is the sum of the two angles DCB , BCE ; and the angle DCB is the difference of the two A angles DCE , BCE . 10. When a straight line AB meets another straight line CD , so as to make the adjacent angles BAC ...
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
... B is expressed by B A ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case , the approximation may be brought nearer to the true ratio than any assignable difference .
... B is expressed by B A ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case , the approximation may be brought nearer to the true ratio than any assignable difference .
Page 35
Magnitudes are said to be in proportion by division , when the difference of the antecedent and consequent is compared either with antecedent or consequent . 9. Equimultiples of two quantities are the products which arise from ...
Magnitudes are said to be in proportion by division , when the difference of the antecedent and consequent is compared either with antecedent or consequent . 9. Equimultiples of two quantities are the products which arise from ...
Page 50
IE If the distance between the centres of two circles is equal to the difference of their radii , the two circles will touch each other · internally . Let C and D be the centres at a dis- E tance from each other equal to AD - CA .
IE If the distance between the centres of two circles is equal to the difference of their radii , the two circles will touch each other · internally . Let C and D be the centres at a dis- E tance from each other equal to AD - CA .
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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 |