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Two rectangles having equal altitudes are to each other as their bases.
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 79
by Benjamin Greenleaf - 1862 - 490 pages

## 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 =...

## Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

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...

## 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...

## 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...

## 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...

## 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...

## Report of the Superintendent of Public Instruction

...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:...

## 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,...