 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...— area of R = a X b, provided U is the unit of area. R axb = axb. §380 U ixi [Two rectangles are to each other as the products of their bases by their altitudes.] But — = area of R. U §374 [The area of a surface is the ratio of that surface to the unit surface.]... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...second parallelogram, with a and b its altitude and base respectively. COR. 1.—Two parallelograms are to each other as the products of their bases by their altitudes. For P= A X B, and p — a X b (§ 229). COR. 2.— Two parallelograms having equal bases are to each... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...rectangle is equal to the product of its base and altitude. It is known (from 247) that two rectangles are to each other as the products of their bases by their altitudes ; therefore, but S is the unit of area ; hence R = h x b. 249. COB. If h = b, then R = bxb = b*. But... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...2. Two triangles having equal bases are to each other as their altitudes. 3. Any two triangles are to each other as the products of their bases by their altitudes. PROP. VI. THEOREM. 316. The area of a trapezoid is equal to one-half the sum of its bases multiplied... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...parallelograms having equal bases are to each other as their altitudes; and any two parallelograms are to each other as the products of their bases by their altitudes. 260. 261. Cor. V. Can you show how to find the area of any triangle ? 262. Cor. VI. Can you show that... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...parallelograms having equal bases are to each other as their altitudes. 3. Any two parallelograms are to each other as the products of their bases by their altitudes. PROP. V. THEOREM. 312. The area of a triangle is equal to one-half the product of its base and altitude.... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...parallelogram is equal to the product of its base by its altitude. 333. Cor. II. Parallelograms are to each other as the products of their bases by their altitudes; consequently, parallelograms which have equal altitudes are to each other as their bases, parallelograms... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...the altitudes CO and C'O'. A ACB ABx CO AB CO Ihen ^^7^7 = A , B , x c , <) , = ^ * ^o, (two A are to each other as the products of their bases by their altitudes). But 7& = 7&' §361 (the homologous altitudes of two similar A have the same ratio as any two homologous... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...prism is equal to the product of its base by its altitude. That is, V=BXH. QED 629. COR. Two 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... | |
 | Webster Wells - Geometry - 1899 - 196 pages
...2. Two prisms having equivalent bases are to each other as their altitudes. 3. -Any two prisms are to each other as the products of their bases by their altitudes. 289 PYRAMIDS. DEFINITIONS. 502. A pyramid is a polyedron bounded by a polygon, called the base, and... | |
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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. 
