| 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... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...Proof. Draw the altitudes CO and C'O'. A ACB ABxCO AB CO B' A A'C'B' A'B ' X C'O' A'B' C'O' (two A are **to each other as the products of their bases by their altitudes).** But §405 AB CO A'B ' C'O' §361 (the homologous altitudes of two similar A have the same ratio as... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...altitude a. But the sum of the bases of the triangular prism equals B. .-.V=Bxa. 570. COR. 1. Prisms are **to each other as the products of their bases by their altitudes.** i 572. COR. 3. Prisms that have equal altitudes are to each other as their bases. 573. COR. 4. Prisms... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 370 pages
...altitude a. But the sum of the bases of the triangular prism equals B. .:V=Bxa. 570. COR. 1. Prisms are **to each other as the products of their bases by their altitudes.** 572. COR. 3. Prisms that have equal altitudes are to each other as their bases. 573. COK. 4. Prisms... | |
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