 | George Albert Wentworth - Geometry - 1899 - 496 pages
...to areas, the words " rectangle," " triangle, " etc. , are often used for ' ' area of rectangle, " " area of triangle, ' ' etc. PROPOSITION I. THEOREM....having equal altitudes are to each other as their banes. D Let the rectangles AC and AF have the same altitude AD. To prove that rect. AC : rect. AF... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...triaiigle, " etc. , are of ten used for ' ' area of rectangle, " " area of triangle, "etc. PROPOSITIOK I. THEOREM. 395. Two rectangles having equal altitudes are to each other as their bases. D F E OO Let the rectangles AC and AF have the same altitude AD. To prove that rect. AC : rect. AF... | |
 | 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 =... | |
 | 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.,... | |
 | Harvard University - Geometry - 1899 - 39 pages
...THEOREM I. Parallelograms having equal bases and equal altitudes are equivalent. THEOREM II. The areas of two rectangles having equal altitudes are to each other as their bases. THEOREM III. The areas of two rectangles are to each other as the products of their bases and their... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...segments of the same parallel lines as the respective bases of the other. Proposition 162. Theorem. 198. Two rectangles having equal altitudes are to each other as their bases. CASE I. When the bases are commensurable. CASE II. Wlten the bases are incommensurable. 169 Use the... | |
 | 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... | |
 | Edward Brooks - Geometry, Modern - 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... | |
 | Education - 1904 - 738 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... | |
 | 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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The areas of two rectangles having equal altitudes are to each other as their bases. 
