Elements of Geometry and Trigonometry |
From inside the book
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Page 16
Let AB and DE be two straight A lines , intersecting each other at C ; then will the angle ECB be equal to the angle ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
Let AB and DE be two straight A lines , intersecting each other at C ; then will the angle ECB be equal to the angle ... Let the triangle EDF , be placed upon the triangle BAC , so that the point E shall fall upon B , and the side ED on ...
Page 17
DF is equal to AC ; therefore , the point F will fall on C , and the third side EF , will coincide with the third side BC ... E FB For to apply the one to the other , let the side EF be placed on its equal BC , the point E falling on B ...
DF is equal to AC ; therefore , the point F will fall on C , and the third side EF , will coincide with the third side BC ... E FB For to apply the one to the other , let the side EF be placed on its equal BC , the point E falling on B ...
Page 19
If the point G fall on the side BC , it is evident that GC , or its equal EF , will be shorter than BC ( Ax . 8. ) . B Ꮐ Third Case . Lastly , if the point G fall within the triangle BAC ... Let the side ED = BA , the side EF BOOK I. 19.
If the point G fall on the side BC , it is evident that GC , or its equal EF , will be shorter than BC ( Ax . 8. ) . B Ꮐ Third Case . Lastly , if the point G fall within the triangle BAC ... Let the side ED = BA , the side EF BOOK I. 19.
Page 22
Let A be the point , and DE the given line . A Let us suppose that we can draw two perpendiculars , AB , AC . ... If from a point without a straight line , a perpendicular be let fall on the line , and oblique lines be drawn to ...
Let A be the point , and DE the given line . A Let us suppose that we can draw two perpendiculars , AB , AC . ... If from a point without a straight line , a perpendicular be let fall on the line , and oblique lines be drawn to ...
Page 25
Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . B For , if they could meet in a point O , on either side of AB , there would be two perpendiculars OA , OB , let fall from the same point on the same ...
Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . B For , if they could meet in a point O , on either side of AB , there would be two perpendiculars OA , OB , let fall from the same point on the same ...
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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 |