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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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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...altitudes.] Multiplying, or X R' b' a' R _a Xb R'~ a'X b' QED R X / a R' a PROPOSITION IV. THEOREM 362. The area of a rectangle is equal to the product of its base and altitude, provided the unit of area is a square whose side is the linear unit. b 1 GIVEN —...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 398 pages
...Hence 2 = f-. 222 rb Multiplying, - = ^-4, QED ' r aX b K a r a s PROPOSITION IV. THEOREM. 226. The area of a rectangle is equal to the product of its base and altitude. i n Given—R a rectangle whose altitude and base are A and B respectively, numerically...
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Report

Virginia. Dept. of Education - Education - 1897
...point. 6. In every proportion the product of the extremes is equal to the product of the means. 7. The area of a rectangle is equal to the product of its base and altitude. 8. To construct a square equivalent to the sum of two given squares. 9. The area...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...each other as their altitudes.] Multiplying, * = ' or a xb a'xb'' QED PROPOSITION IV. THEOREM 362. The area of a rectangle is equal to the product of its base and altitude, provided the unit of area is a square -whose side is the linear unit. 1 U bf GIVEN...
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Text-book of Algebra: With Exercises for Secondary Schools and ..., Part 1

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 683 pages
...product of its base by its altitude. What is the area, when the base is 6 and the altitude is 5 ? 23. The area of a rectangle is equal to the product of its base by its altitude. What is the area, when the base is 9 and the altitude is 4 ? 18. General numbers...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 242 pages
...areas are equal. 304. The dimensions of a rectangle are its base and altitude. PROP. III. THEOREM. 305. The area of a rectangle is equal to the product of its base and altitude. Note. In all propositions relating to areas, the unit of surface ( 302) is understood...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 210 pages
...proportions (by 20), BxC = a' x6' ; C x A a xb' B^a' xb' A a xb PROPOSITION III. THEOREM. QED 248. The area of a rectangle is equal to the product of its base and altitude. It is known (from 247) that two rectangles are to each other as the products of...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 256 pages
...length of the rectangle is 4 times its breadth. Compare their areas. PROPOSITION III. THEOBEM. 398. The area of a rectangle is equal to the product of its base by its altitude. R Let R be a rectangle, b its base, and a its altitude. To prove that the area...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 240 pages
...to 6 and an altitude equal to A. <S' 6 S—A ra R=AxB r ax b' QED 170 Proposition 164. Theorem. 200. The area of a rectangle is equal to the product of its base and altitudeULI Hypothesis. R is a rectangle whose base and altitude are B and A respectively....
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 218 pages
...drawn, the tangent is the mean proportional between the whole secant and its external segment. 398. The area of a rectangle is equal to the product of its base by its altitude. 400. The area of a parallelogram is equal to the product of its base by its altitude....
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