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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. "
Elementary Algebra Revised - Page 9
by Frederick Howland Somerville - 1913 - 447 pages
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...to twice the product of the given side by the projection of the median upon that side. BOOK IV. 383. The area of a rectangle is equal to the product of its base by its altitude. 385. The area of a parallelogram is equal to the product of its base by its altitude....
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The Encyclopedia Americana: A General Dictionary of the Arts and Sciences ...

Frederick Converse Beach, Forrest Morgan, George Edwin Rines, E. T. Roe, Nathan Haskell Dole, Thomas Campbell Copeland - Encyclopedias and dictionaries - 1904 - 782 pages
...be contained by AB and BC, or, as it is sometimes expressed, it is the rectangle under А B 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...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...breadth. Compare their areas. and R a R' i a " S AREAS OF POLYGONS. PROPOSITION III. THEOREM. 398. The area of a rectangle is equal to the product of its base by its altitude. Let R be a rectangle, b its base, and a its altitude. To prove that the area...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...sense than that just stated. With this interpretation, the Corollary is usually stated as follows: The area of a rectangle is equal to the product of its base and altitude. (b) The numbers which represent the measures of me lines may be integral, fractional,...
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School Science and Mathematics, Volume 7

Education - 1907 - 880 pages
...not unconscious that they are arithmetical and inductive. Just as the proof given in arithmetic that the area of a rectangle is equal to the product of its base and altitude, is inductive, probably does not include fractions and is surely not such a proof...
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School Science and Mathematics, Volume 7

Education - 1879 - 944 pages
...not unconscious that they are arithmetical and inductive. Just as the proof given in arithmetic that the area of a rectangle is equal to the product of its base and altitude, is inductive, probably does not include fractions and is surely not such a proof...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1914 - 264 pages
...? The area of 10 strips must be 10 X 18 10 18 sq. yd., or 180 sq. yd. MEASUREMENT OF SURFACES RULE. The area of a rectangle is equal to the product of its base and altitude, expressed in like units. D Parallelograms The four-sided plane figure ABCD is a...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...for these proofs, and so our treatment by limits is less rigorous than these earlier ones. THEOREM. The area of a rectangle is equal to the product of its base by its altitude. The easiest way to introduce this is to mark a rectangle, with commensurable...
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The Pupils' Arithmetic, Book 4

James Charles Byrnes, Julia Richman, John Storm Roberts - Arithmetic - 1911 - 260 pages
...wide ? The area of 10 strips must be 10 x 18 sq. yd., or 180 sq. yd. MEASUREMENT OF SURFACES RULE. The area of a rectangle is equal to the product of its base and altitude, expressed in like units. Parallelograms The four-sided plane figure A BCD is a parallelogram,...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of the Greeks, which was logical and deductive, even from its beginning. PROPOSITION I. THEOREM 475. The area of a rectangle is equal to the product of its base and its altitude. (See § 476.) BC V AD « Given rectangle ABCD, with base AD and altitude AB,...
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