Elements of Geometry and Trigonometry |
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Page 143
A prism whose base is a parallelogram , and which has all its faces parallelograms , is named a parallelopipedon . The parallelopipedon 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 parallelopipedon is rectangular when all its faces are rectangles . 9. Among rectangular parallelopipedons , we ...
Page 148
In every parallelopipedon the opposite planes are equal and parallel . By the definition of this solid , the bases ABCD , EFGH , are equal parallelograms , and their sides are parallel : it remains only to show , that the same is true ...
In every parallelopipedon the opposite planes are equal and parallel . By the definition of this solid , the bases ABCD , EFGH , are equal parallelograms , and their sides are parallel : it remains only to show , that the same is true ...
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
Let the parallelopipedon ABCD - H be Hilla divided by the plane BDHF passing through loupaigas its diagonal edges : then will the triangular E prism ABD - H be equivalent to the trian - e gular prism BCD - H.qo obtadt wwode od ug B AG g ...
Let the parallelopipedon ABCD - H be Hilla divided by the plane BDHF passing through loupaigas its diagonal edges : then will the triangular E prism ABD - H be equivalent to the trian - e gular prism BCD - H.qo obtadt wwode od ug B AG g ...
Page 151
THEOREM . two parallelopipedons have a common base , and their upper bases in the same plane and between the same parallels , they will be equivalent . Let the parallelopipe- dons AG , AL , have the common base AC , and their upper ...
THEOREM . two parallelopipedons have a common base , and their upper bases in the same plane and between the same parallels , they will be equivalent . Let the parallelopipe- dons AG , AL , have the common base AC , and their upper ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |