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" Two rectangles having equal altitudes are to each other as their bases. "
Elements of Geometry and Trigonometry: With Practical Applications - Page 77
by Benjamin Greenleaf - 1862 - 490 pages
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...used for '' area of rectangle," " area of triangle,'' etc. PROPOSITION I. THEOREM. 395. The areas of two rectangles having equal altitudes are to each other as their bases. D D OO Let the rectangles AC and AF have the same altitude AD. To prove that rect. AC : rect. AF =...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...are often used for ' ' area of rectangle, " " area of triangle, ' ' etc. PROPOSITION I. THEOREM. 395. Two rectangles having equal altitudes are to each other as their bases. Let the rectangles AC and AF have the same altitude AD. To prove that rect. AC : rect. AF = base AB...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...a triangle similar to a given triangle. ( 262.) BOOK IV. AREAS OF POLYGONS PROP. I. THEOREM. 299. Two rectangles having equal altitudes are to each other as their bases. Note. The words " rectangle," " parallelogram," " triangle," etc., in the propositions of Book IV.,...
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Bulletin

Education - 1900 - 612 pages
...triangle the square of the side opposite the obtuse angle is equal to ... 5 Prove that the areas of two rectangles having equal altitudes are to each other as their bases, when these bases are incommensurable. Second 6 One of the angles of a right triangle is 30 and the...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...idea of number. As derived under Th. VI., they depend on numerical ideas. PROPOSITION II. — THEOREM. Two rectangles having equal altitudes are to each other as their bases. Given. — Let ABCD and AEFD be two rectangles having equal altitudes AD, their bases being AB and...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...for ' ' area of rectangle, " " area of triangle, ' ' etc. PROPOSITION I. THEOREM. 395. The areas of two rectangles having equal altitudes are to each other as their bases. D B E 0 0 Let the rectangles AC and AF have the same altitude AD. To prove that rect. AC : rect. AF...
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Report of the Superintendent of Public Instruction

Michigan. Department of Public Instruction - Education - 1904
...proportional between two lines respectively 2 inches and 8 inches long, proving by aigebra. 7. Demonstrate: Two rectangles having equal altitudes are to each other as their bases. 8. Construct geometrically a square containing one-third as much as a given square. 9. Demonstrate:...
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Bulletin

Education - 1904 - 740 pages
...if the sides of one are respectively parallel to the sides of the other. 5 Prove that the areas of two rectangles having equal altitudes are to each other as their bases. Second 6 The sides of a triangle are respectively 3, 25 and division 26 jnches ; find the altitude...
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Public Documents of Massachusetts, Volume 9

Massachusetts - 1905 - 1118 pages
...respectively ; find the length of the chord of the greater circle which is tangent to the smaller. 3. Prove : two rectangles having equal altitudes are to each other as their bases. Prove case of incommensurable bases only. 4. Prove : two similar triangles are to each other as the...
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School Science and Mathematics, Volume 18

Education - 1918 - 922 pages
...and not a vague largeness. It is a very common inconsistency a little later to attempt to prove that "Two rectangles having equal altitudes are to each other as their bases" in the following manner: Call the two rectangles R and S, respectively. Assuming the bases commensurable,...
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