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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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Elementary Geometry

William Chauvenet - 1893
...two rectangles are to each other as the products of their bases by their altitudes. PROPOSITION IV. The area of a rectangle is equal to the product of its base and altitude. PROPOSITION V. The area of a parallelogram is equal to the product of its base and...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 138 pages
...Theorem. Two rectangles are to each other as the products of their bases and altitudes. 245. Theorem. The area of a rectangle is equal to the product of its base and its altitude. 246. Theorem. Parallelograms having equal bases and equal altitudes are equivalent....
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 389 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 the lines may be integral, fractional,...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 201 pages
...lower base, what lines represent the altitude ? 14. Show the truth of the principle : PRINCIPLE 16. — The area of a rectangle is equal to the product of its base and altitude. 15. What is the area of a rectangle whose base is 12 inches and altitude half as...
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New Franklin Arithmetic: 1st[-2d] Book, Volume 2

Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895
...same base and height as the paralFlG 86 , , , . jiv lelogram, though we do not change the area. But the area of a rectangle is equal to the product of its base and height. (Art. 108.) Hence, To find the area of any parallelogram, multiply the base by the...
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Sight Arithmetic

William Frothingham Bradbury - Arithmetic - 1895 - 166 pages
...number of linear units in the base multiplied by the number in the altitude. Stated in its usual form, The area of a rectangle is equal to the product of its base by its altitude. 3. What is the area of a rectangle whose base is 15 feet and altitude 12 feet...
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Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 50 pages
...The areas of two rectangles are to each other as the products of their bases by their altitudes. 363. The area of a rectangle is equal to the product of its base and altitude. 365. The area of a parallelogram is equal to the product of its base and altitude....
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An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - Arithmetic - 1897 - 151 pages
...is a familiar fact in the case of rectangles ; the common form of statement for this case being that the area of a rectangle is equal to the product of its length and width. From any rhomboid or rhombus, a rectangle of the same dimensions can be constructed, by cutting...
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Elements of Analytic Geometry

Joseph Johnston Hardy - Geometry, Analytic - 1897 - 365 pages
...a right triangle is equal to the difference of the squares of the hypotenuse and the other leg. 28. The area of a rectangle is equal to the product of its base and altitude. 29. The ratio of the circumference of a circle to its diameter is constant. C =...
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American Comprehensive Arithmetic

Middlesex Alfred Bailey - Arithmetic - 1897 - 320 pages
...illustrations, explanations, and proofs, the pupil should turn to p. 121, and to pp. 272, 273, and 274. III. The area of a rectangle is equal to the product of its base by its altitude. IV. The area of a parallelogram is equal to the product of its base by its altitude....
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