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" ... any two triangles are to each other as the products of their bases by their altitudes. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 80
by Francis Joseph Grund - 1834 - 190 pages
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 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. PLANE GEOMETRY. — BOOK IV. PROP. VI. THEOREM. 316. The area of a trapezoid is equal to...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 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. 410. The areas of two triangles which have an angle of the one equal to an angle of the...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 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 theiv altitudes; consequently, triangles which have equal altitudes are to each other as their bases,...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 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. 410. The areas of two triangles which have an angle of the one equal to an angle of the...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 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. 200. Corollary 111. A triangle is equivalent to one-half a parallelogram having the same...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 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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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...triangles having equal bases are to each other as their altitudes. Proof: (?). 384. THEOREM. Any two triangles are to each other as the products of their bases by their altitudes. 385. THEOREM. The area of a right triangle is equal to half the product of the legs. 386....
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...triangles having equal bases are to each other as their altitudes. Proof: (?). 384. THEOREM. Any two triangles are to each other as the products of their bases by their altitudes. 385. THEOREM. The area of a right triangle is equal to half the product of the legs. 386....
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Wentworth's Plane Geometry

George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 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. Has this been proved for rectangles ? What is the relation of a triangle to a rectangle...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...other as their altitudes ; triangles having equal altitudes are to each other as their liases ; any two triangles are to each other as the products of their bases by their altitudes. Has this been proved for rectangles ? What is the relation of a triangle to a reetangle...
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