| 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 =... | |
| 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... | |
| 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 - 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... | |
| 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... | |
| 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... | |
| 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:... | |
| 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,... | |
| Education - 1918 - 990 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,... | |
| 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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