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" The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R. "
A Treatise on Mensuration, Both in Theory and Practice - Page 91
by Charles Hutton - 1788 - 703 pages
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The Anderson Arithmetic, Book 3

Robert Franklin Anderson - Arithmetic - 1921
...what you have learned. 1. The area of a square is the square of the number of units In its length. z. The area of a rectangle is equal to the product of its base and altitude. NOTE. By the product of the base and altitude, as used in the above principle, is...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 457 pages
...of its sides 20 in. Find the ratio of the areas of the two rectangles. PROPOSITION III. THEOREM 347. The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U...
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A Course in Arithmetic for Teachers and Teacher-training Classes

James Robert Overman - Arithmetic - 1923 - 376 pages
...can be cut off and put on the other end of the figure, changing the parallelogram into a rectangle. The area of a rectangle is equal to the product of its base and altitude, so the area of the rectangle formed from the parallelogram is ABxBE (Figure 28)....
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 316 pages
...another rectangle whose dimensions are 7 and V2. AREA OF A RECTANGLE Proposition V. Theorem 247 251. The area of a rectangle is equal to the product of its base by its altitude. Hyp.: Let R be any rectangle whose dimensions are b and a, and let U be a square...
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The Americana: A Universal Reference Library, Comprising the Arts ..., Volume 16

Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1911
...be contained by AB and BC, or, as it is sometimes expressed, it is the rectangle under AB and B C. The area of a rectangle is equal to the product of its base and altitude. Rectangles haying equal bases are to each other as their altitudes: rectangles .having...
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Bulletin of the American Mathematical Society, Volume 13

American Mathematical Society - Mathematics - 1907
..."that at this early period the Babylonians must have been familiar with the following theorems : 1. The area of a rectangle is equal to the product of its base and altitude. 2. The area of a square is equal to the square of its side. 3. The area of a right...
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Computing in Euclidean Geometry

Dingzhu Du, Frank Hwang - Mathematics - 1992 - 385 pages
...Pythagoras theorem and the similar triangle theorem. The well-known area formula of rectangles asserts that the area of a rectangle is equal to the product of its length and its width, namely (2) A = lw. to / • TO times the area of the square of unit side-length which is...
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The SAT I Math Tutor

Research and Education Association - Study Aids - 1994 - 338 pages
...the shaded region is equal to the area of rectangle ABCD minus the area of triangle EBC. Recall that the area of a rectangle is equal to the product of its length and its width. Thus, Area of rectangle ACD = (A) (C). The area of a triangle is equal to 1I2 bh....
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Introduction to Hyperbolic Geometry

Arlan Ramsay, Robert D. Richtmyer - Mathematics - 1995 - 289 pages
...dimensions of the small squares tend to zero, in order to cover the case of an irrational ratio) that the area of a rectangle is equal to the product of its two dimensions. Then, given a triangle, one reduces the problem to that of a rectangle in two steps:...
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Schaum's Outline of Trigonometry

Robert E. Moyer - Mathematics - 1998 - 215 pages
...of a parallelogram is equal to the product of its altitude a and base b; ie, K = ab. A The area A" of a rectangle is equal to the product of its length / and width w; ie, K = Iw. A The area K of a rhombus is equal to one-half the product of its diagonals d...
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