 | George Albert Wentworth - Geometry - 1904 - 496 pages
...AB' § 284 QED BOOK IV. PLANE GEOMETRY. PROPOSITION II. THEOREM. 397. The areas of two rectangles are to each other as the products of their bases by their altitudes. Let R and R' be two rectangles, having for their bases b and b', and for their altitudes a and a',... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...sum of the bases of the A prisms X H. = BXH. Ax. 8. .'. V=BXH. Ax. l. QED 629. COR. 1. Two prisms are to each other as the products of their bases by their altitudes; prisms having equivalent bases and equal altitiides are equivalent. PYEAMIDS Pyramid 0 PYRAMIDS 631.... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...102. Two rectangles having equal bases are to each other as their altitudes. 103. Two rectangles are to each other as the products of their bases by their altitudes. 104-107. The theorems which give the areas of (1), the rectangle; (2), the parallelogram; (3), the... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...equal bases are to each other as their altitudes. Proof: CO377. THEOREM. Any two parallelograms are to each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude.... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...rectangles having equal bases are to each other as their altitudes. 41. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Let A and B, Fig. 27, be two rectangles whose altitudes are a and a' and whose bases are b and 6',... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...multiplied by their common altitude ; or ABODE x H. That is, V = B x H. QED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...multiplied by their common altitude ; or ABCDE x H. That is, V = B x H. 0, ED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...equal bases are to each other as their altitudes. Proof: (?). 377. THEOREM. Any two parallelograms are to each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude.... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...bases. 3. Two prisms having equivalent bases are to each other as their altitudes. 4. Any two prisms are to each other as the products of their bases by their altitudes. ' Ex. 18. The volume of a right prism whose base is a regular hexagon is 600. One side of the base... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...having equal bases are to each other as their altitudes. PROP. II. THEOREM 277. Any two rectangles are to each other as the products of their bases by their altitudes. If a y a R L _j PLANE GEOMETRY — BOOK IV Draw any two rectangles M and N. We then have : Given M... | |
| |
Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions. 
