 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...triangle is one-half of any parallelogram having an equal base and an equal altitude. Cor. II.—Any two triangles are to each other as the products of their bases by their altitudes. For, let T and T' denote two triangles whose bases are b and b', and whose altitudes are... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...as their bases ; two triangles having equal bases are to each other as their altitudes ; and any two triangles are to each other as the products of their bases by their altitudes. PROPOSITION VI. THEOREM. 331. The area of a trapezoid is equal to one-half the sum of its... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...the same parallels, the area of the triangle is half that of the parallelogram. 369. COR. 3. Any two triangles are to each other as the products of their bases by their altitudes ; therefore triangles having equal bases are to each other as their altitudes, and triangles... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...other as their altitudes ; triangles having equal altitudes are to each other as their bases ; any two triangles are to each other as the products of their bases by their altitudes. 371. The area of a trapezoid is equal to one-half the sum of the parallel sides multiplied... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...as their bases. 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 tmpezoid is equal to one-half the sum of its bases... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...as their bases; two triangles having equal bases are to each other as their altitudes; and any two triangles are to each other as the products of their bases by their altitudes. 257. COR. 3. A triangle is equivalent to one-half of a parallelogram having the same base... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...other as their altitudes; triangles having equal altitudes are io each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. PROPOSITION VI. THEOREM. 371. The area of a trapezoid is equal to one-half the sum of the... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...other as their altitudes; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. 406. COB. 3. The product of the legs of a right triangle is equal to the product of the... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...The area of a triangle is equal to one half the product of its base by its altitude. 336. Cor. II. Triangles are to each other as the products of their bases by their altitudes; consequently, triangles which have equal altitudes are to each other as their bases, triangles... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...other as their altitudes; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. 406. COR. 3. The product of the legs of a right triangle is equal to the product of the... | |
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... any two triangles are to each other as the products of their bases by their altitudes. 
