Elements of Geometry and Trigonometry |
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Page 142
THE name solid polyedron , or simple polyedron , is given to every solid terminated by planes or plane faces ; which planes , it is evident , will themselves be terminated by straight lines . E POLYEDRONS . 2. The common intersection of ...
THE name solid polyedron , or simple polyedron , is given to every solid terminated by planes or plane faces ; which planes , it is evident , will themselves be terminated by straight lines . E POLYEDRONS . 2. The common intersection of ...
Page 143
A prism whose base is a parallelogram , and which has all its faces parallelograms , is named a parallelopipedon . The paralelopipedon is rectangular when all its faces are rectangles . 9. Among rectangular parallelopipedons , we ...
A prism whose base is a parallelogram , and which has all its faces parallelograms , is named a parallelopipedon . The paralelopipedon is rectangular when all its faces are rectangles . 9. Among rectangular parallelopipedons , we ...
Page 148
K K F E TH f B C с But the two upper bases being equal to their corresponding lower bases , are equal to each other : hence HI will coincide with hi , IK with ik , and KF with kf ; and therefore the lateral faces of the prisms will ...
K K F E TH f B C с But the two upper bases being equal to their corresponding lower bases , are equal to each other : hence HI will coincide with hi , IK with ik , and KF with kf ; and therefore the lateral faces of the prisms will ...
Page 149
Since the parallelopipedon is a solid bounded by six planes , whereof those lying opposite to each other are equal and parallel , it follows that any face and the one opposite to it , may be assumed as the bases of the parallelopipedon ...
Since the parallelopipedon is a solid bounded by six planes , whereof those lying opposite to each other are equal and parallel , it follows that any face and the one opposite to it , may be assumed as the bases of the parallelopipedon ...
Page 150
B For a like reason , the figure BaeF is a parallelogram ; so also are BFgc , cdhg , adhe , the other lateral faces of the solid Badc - g ; hence that solid is a prism ( Def . 6. ) ; and that prism is right , because the side BF is ...
B For a like reason , the figure BaeF is a parallelogram ; so also are BFgc , cdhg , adhe , the other lateral faces of the solid Badc - g ; hence that solid is a prism ( Def . 6. ) ; and that prism is right , because the side BF is ...
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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 |