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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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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...triangle is equivalent to one half of a parallelogram having the same base and altitude. Prop. 149. The area of a rectangle is equal to the product of its base and altitude. Prop. 149, Cor. The area of a square is equal to the square of its side. Prop. 150....
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The Anderson Arithmetic, Book 3

Robert Franklin Anderson - Arithmetic - 1921 - 348 pages
...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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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...product of the base and altitude. We shall assume the truth of the following statements : 442. Theorem. The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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 - 396 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 - 328 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 New Century Book of Facts

Encyclopedias and dictionaries - 1928 - 1958 pages
...following which many practical problems will be solved to indicate how these rules and formulas are used. The area of a rectangle is equal to the product of its base and altitude. A The truth of this statement pan be readily seen by dividing the rectangle into...
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A Study of the Use of Graded Tests in First Year Algebra

M. Cottell Gregory - 1928 - 220 pages
...envelopes, most of the labor of giving the tests will be eliminated. ICI 1« Translate into a formula:- The area of a rectangle is equal to the product of its altitude and base. 2. In the formula V s lwd» if ls 20» ** 9, d» 4, find\/. IC2 1. Translate into...
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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 - 910 pages
...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 - 682 pages
..."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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