...altitude is AE, § 529 (auy oblique prism is «= to n right prism whose bases are equal to right sections of the oblique prism, and whose altitude is equal to a lateral edge of the oblique ргшп). The prism AD CH is equivalent to a right prism whose base is ILK, and whose altitude is...

...and equal altitudes. PROPOSITION IV. Any oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. PROPOSITION V. Any parallelepiped is equivalent to a rectangular parallelepiped of the same altitude...

...and equal altitudes. PROPOSITION IV. Any oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. PROPOSITION V. Any parallelopiped is equivalent to a rectangular parallelopiped of the same altitude...

...three faces including a trihedral of the other, and are similarly placed. PROPOSITION IV. THEOREM. 566. An oblique prism is equivalent to a right prism whose...Let FI be a right section of the oblique prism AD'. Produce AA' to I", making FF'= A A', and at F' pass the plane F'I' -L to FF', cutting all the faces...

...504. Theorem. An oblique prism is equal in magnitude to a right prism whose base is a right section and whose altitude is equal to a lateral edge of the oblique prism. Let В К be an oblique prism, E' B' a right section, and £ К a lateral edge. To prove that the prism...

...placed, one of the prisms can be inverted and applied to the other. PROPOSITION IV. THEOREM. 566. u4n oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. Let t'l be a right section of the oblique prism AD'. Produce A A' to F', making FF'= A A', and at jP1...

...similarly placed. 565. Cor. 2. Two right prisms having equal bases and equal altitudes are equal. 566. An oblique prism is equivalent to a right prism whose...altitude is equal to a lateral edge of the oblique prism. 567. Any two opposite faces of a parallelopiped are equal and parallel. 569. The plane passed through...

...are equal. PROPOSITION VI. THEOREM 658. An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism and whose altitude is equal to a lateral edge of the oblique prism. GIVEN— the oblique prism ABCDE-A' of which KFGNH is a right section. Produce AA' to K', making KK'...

...6.57. Def. — Two solids are equivalent when their volumes are equal. PROPOSITION VI. THEOREM (i."t8. An oblique prism is equivalent to a right prism whose base is a right sect ion of t lie oblique prism and whose altitude is equal to a lateral edge of the oblique...

...equal. If the equal bases be similarly situated, the solids may be made to coincide. 106. THEOREM. An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism and whose altitude is a lateral edge of the oblique prism. Let...