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" Aa, and let k be one of those parts ; through the points of division pass planes parallel to the plane of the bases ; the corresponding sections... "
Solid Geometry - Page 258
by Walter Burton Ford, Charles Ammerman - 1913 - 107 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...altitude AT into equal parts Ax, xy, yz, Sic. each less than An, and let k be one of those parts ; through the points of division pass planes parallel...the plane of the bases ; the corresponding sections formed by these planes in the two pyramids will be respectively equivalent by the last Corollary, namely,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the altitude AT into equal parts Ax, xy, yz, &c. each less than Aa, and let k be one of those parts ; through the points of division pass planes parallel...the plane of the bases ; the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely DEF to def, GHI...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...the altitude AT into equal parts Ax, xy, yz, &c> each less than Aa, and let k be one of those parts ; through the points of division, pass planes parallel to the plane of the hases : the corresponding sections forihed by these planes in the two pyramids will be respectively...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...the altitude AT into equal parts Ax, xy, yz, &c. each less than Aa, and let k be one of those parts ; through the points of division pass planes parallel...the plane of the bases ; the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely DEF to def, GHI...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...altitude AT into equal parts Ax, xy, yz, dec., each less than Aa, and let h be one of those parts : through the points of division pass planes parallel...the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely, DEFto def, GHI...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...altitude AT into equal parts .Ax, xy, yz, &c., each less than Aa, and let k be one of those parts : through the points of division pass planes parallel...the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely, DEF to def, GHI...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...altitude AT into equal parts AST, xy, yz, &c., each less than Aar, and let k be one of those parts ; through the points of division, pass planes parallel...the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, (B. VII, Prop, xiv,) namely,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...altitude AT into equal parts Ax, xy, yz, &c-, each less than Aa, and let k be one of those parts : through the points of division pass planes parallel...the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent, namely DEF to def, GHI...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...altitude AT into equal parts A#, xy, yz, etc., each less than Aa, and let k be one of those parts ; through the points of division, pass planes parallel...the plane of the bases : the corresponding sections formed by these planes in the two pyramids will be respectively equivalent (T. XIV., C.), namely, DEF...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...with their vertices in the same direction, and divide the altitude into any number of equal parts. Through the points of division pass planes parallel...plane of the bases ; the corresponding sections made in the pyramids by these planes are equivalent, (Th. 12, Cor. 2) ; that is, the triangle DEF is equivalent...
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