Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section. "
Plane and Solid Geometry - Page 297
by Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 pages
Full view - About this book

Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...plane DEF were inclined to the base, we should say — A truncated triangular prism is equivalent to three pyramids whose common base is the base of the prism, and whose heights are respectively equal to the distances of the opposite vertices from the base. 255. As all...
Full view - About this book

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...base of the truncated prism is the same as the base of the prism from which it is cut. 392. Theorem.. A truncated triangular prism is equivalent to the sum of three pyramids, which have for their common base the base of the prism, and for their vertices the three vertices of...
Full view - About this book

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...base of the truncated prism is the same as the base of the prism from which it is cut. 392. Theorem. A truncated triangular prism is equivalent to the sum of three pyramids, which have for their common base the base of the prism, and for their vertices the three vertices of...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...triangular frustum ; namely, TRUNCATED TRIANGULAR PRISM. x _<"'* v PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated triangular prism whose base is ABC and inclined section DEF. Pass the planes...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...the triangular frustum ; namely, \p\ TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.— THEOREM. 60. A truncated triangular prism is equivalent to the...of three pyramids whose common base is the base of Hie prism, and whose vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated...
Full view - About this book

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...frustum; namely, V=^h(B + b + ty $4r - tL /s TRUNCATED TRIANGULAR PRISM. PROPOSITION XXII.—THEOREM. 'GO. A truncated triangular prism, is equivalent to the...vertices are the three vertices of the inclined section. Let ABC-DEF be a truncated triangular * prism whose base is ABC and inclined section DEF. Pass the...
Full view - About this book

Catalogue - Harvard University

Harvard University - 1876 - 554 pages
...section of a pyramid made by a plane parallel to the base is a polygon similar to the base. 6. Prove that a truncated triangular prism is equivalent to the sum of three pyramids, which have for their common base the base of tlie prism, and for their vertices the three vertices...
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...bases is equivalent to a mean proportional between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. F Let AB CD EF be a truncated triangular prism, wiose base is ABC, and inclined section DE F. We are...
Full view - About this book

An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...Corollary. As a cone is a pyramid (49), this demonstration includes the frustum of a cone. THEOREM XX. 76. A truncated triangular prism is equivalent to the...vertices are the three vertices of the inclined section. Let ABC be the inclined section of the truncated triangular prism AB CDE F. Pass the planes ACE, DOE...
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...between their equivalents. PROPOSITION XXI. THEOREM. 581. A truncated triangular prism is equivalent fo the sum of three pyramids whose common base is the...vertices are the three vertices of the inclined section. D, Let AB CD EF be a truncated triangular prism whose base is ABC, and inclined section DE F. We are...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF