Elements of Geometry and Trigonometry |
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Page 12
A scholium is a remark on one or several preceding propositions , which tends to point out their connexion , their use , their restriction , or their extension . A hypothesis is a supposition , made either in the enunciation of a ...
A scholium is a remark on one or several preceding propositions , which tends to point out their connexion , their use , their restriction , or their extension . A hypothesis is a supposition , made either in the enunciation of a ...
Page 16
Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the ...
Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the ...
Page 17
Scholium . Two triangles are said to be equal , when being applied to each other , they will exactly coincide ( Ax . 13. ) . Hence , equal triangles have their like parts equal , each to each , since those parts must coincide with each ...
Scholium . Two triangles are said to be equal , when being applied to each other , they will exactly coincide ( Ax . 13. ) . Hence , equal triangles have their like parts equal , each to each , since those parts must coincide with each ...
Page 19
B CE E Scholium . 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 ...
B CE E Scholium . 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 ...
Page 20
A Scholium . It may be observed that the equal angles lie opposite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XI . THEOREM . In an isosceles triangle , the angles opposite ...
A Scholium . It may be observed that the equal angles lie opposite the equal sides : thus , the equal angles D and A , lie opposite the equal sides EF and BC . PROPOSITION XI . THEOREM . In an isosceles triangle , the angles opposite ...
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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 |