Elements of Geometry and Trigonometry |
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Page 19
1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as ...
1 " triangle GAC is equal to DEF , since , by construction , they have an equal angle in each , contained by equal sides , ( Prop . V. ) ; therefore CG is equal to EF . Now , there may be three cases in the proposition , according as ...
Page 34
If the other magnitude contain a certain number of those units , it also may be expressed by the number of its units ... there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes .
If the other magnitude contain a certain number of those units , it also may be expressed by the number of its units ... there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes .
Page 51
In the same circle , or in equal circles , equal angles having their vertices at the centre , intercept equal arcs on the circumference : and conversely , if the arcs intercepted are equal , the angles contained by the radii will also ...
In the same circle , or in equal circles , equal angles having their vertices at the centre , intercept equal arcs on the circumference : and conversely , if the arcs intercepted are equal , the angles contained by the radii will also ...
Page 52
Suppose , for example , that the angles ACB , DCE , are to each other as 7 is to 4 ; or , which is the same thing , suppose that the angle M , which may serve as a common measure , is contained times in the angle ACB , and 4 times in ...
Suppose , for example , that the angles ACB , DCE , are to each other as 7 is to 4 ; or , which is the same thing , suppose that the angle M , which may serve as a common measure , is contained times in the angle ACB , and 4 times in ...
Page 60
T Two sides of a triangle , and the angle which they contain , being given , to describe the triangle . E G P H Having drawn the indefinite line DE , at the point D , make the angle EDF equal to the given angle A ; F then take DG - B ...
T Two sides of a triangle , and the angle which they contain , being given , to describe the triangle . E G P H Having drawn the indefinite line DE , at the point D , make the angle EDF equal to the given angle A ; F then take DG - B ...
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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 |