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" Two triangles of the same altitude are to each other as their bases ; and two triangles of the same base are to each other as their altitudes. "
Elements of Geometry and Trigonometry - Side 97
av C. Davies - 1867
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 sider
...347. COR. 1. Triangles having equal bases and equal alti- V tudes are equivalent. 348. COR. 2. Any two triangles are to each other as the products of their bases and altitudes. 350. COR. 4 . Triangles having equal altitudes are to each other as their bases. 351. DBF....
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Plane Geometry

Arthur Schultze - 1901 - 260 sider
...347. COR. 1. Triangles having equal bases and equal altitudes are equivalent. 348. COR. 2. Any two triangles are to each other as the products of their bases and altitudes. 350. COR. 4. Triangles having equal altitudes are to each other as their bases. 351. DEF....
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Elements of Plane Geometry

Alan Sanders - 1901 - 260 sider
...Construct the parallelogram A CUE. ACBE = ACXBD. (?) A ABC = -| AC X RD. (?) QED 594. COROLLARY I. Triangles are to each other as the products of their bases and altitudes ; if their bases are equal the triangles are to each other as their altitudes; if their altitudes...
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Investigations of the Department of Psychology and Education of ..., Volumer 1-3

University of Colorado. Department of Psychology and Education - 1902 - 588 sider
...other as the rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either...
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Investigations of the Department of Psychology and Education of ..., Volumer 1-3

University of Colorado. Department of Psychology and Education - 1903 - 564 sider
...other as the rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either...
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Elements of Plane and Solid Geometry

Alan Sanders - 1903 - 392 sider
...To Prove ABC=\ AC x BD. Proof. Construct the parallelogram AC BE. = AC X BD. QED 594. COROLLARY I. Triangles are to each other as the products of their bases and altitudes ; if their bases are equal the triangles are to each other as their altitudes ; if their...
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Plane and Solid Geometry

Fletcher Durell - 1911 - 553 sider
...altitudes; Triangles ichich have equal altitudes are to each other as their bases. 392. COR. 3. Any two triangles are to each other as the products of their bases and altitudes. Ex. 1. Find the area of a parallelogram whose base is 9 ft. 8 in. d whose altitude is 2...
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Plane Geometry

Fletcher Durell - 1904 - 382 sider
...altitudes; Triangles which have equal altitudes are to each other as their bases. 392. COR. 3. Any two triangles are to each other as the products of their bases and altitudes. Ex. 1. Find the area of a parallelogram whose base is 9 ft. 8 in. and whose altitude is...
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Solid Geometry

Fletcher Durell - 1904 - 232 sider
...their altitudes; Triangles which have equal altitudes are to each other as their bases. 392. Any two triangles are to each other as the products of their bases and altitudes. 397. // two triangles have an angle of one equal to an angle of the other, their areas are...
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Original Exercises in Plane and Solid Geometry

Levi Leonard Conant - 1905 - 140 sider
...3:4. HINT. Obtain three proportions involving three unknown quantities, by means of the theorem that triangles are to each other as the products of their bases and altitudes. 636. The area of a parallelogram is 80 sq. ft.; how must a line from one vertex divide one...
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