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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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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 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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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 177 pages
...AREA OF POLYGONS MEASURING 333. Axiom. Every geometric magnitude has a numerical measure. 346. The area of a rectangle is equal to the product of its base and altitude. 347. Theorem. The area of a square equals the square of its side. 348. Theorem....
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Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 332 pages
...one or both can be measured only approximately. We then have : AREA OF A RECTANGLE 406. THEOREM I. The area of a rectangle is equal to the product of its base and altitude. Proof. In case the sides of the rectangle are commensurable, the theorem is proved...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 pages
...measure. From the foregoing considerations the truth of the following statement may be accepted : 346. The area of a rectangle is equal to the product of its base and altitude. If A, b, and h are the numerical measures of the area, base, and altitude respec....
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The Encyclopedia Americana: A Library of Universal Knowledge, Volume 23

Encyclopedias and dictionaries - 1919
...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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The Encyclopedia Americana: A Library of Universal Knowledge, Volume 23

Encyclopedias and dictionaries - 1919
...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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Efficiency Arithmetic: Intermediate

Charles Ernest Chadsey - Arithmetic - 1920
...the number of squares in one row by the number of rows. This is often expressed in the shorter form: The area of a rectangle is equal to the product of its base and altitude.1 Exercise 2 1. The length of a blackboard is 12 feet and its width is 4 feet. What...
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Vocational Arithmetic

Clarence E. Paddock, Edward Ellsworth Holton - Arithmetic - 1920 - 232 pages
...stands, and the height or altitude is the perpendicular distance between the base and the opposite side. The area of a rectangle is equal to the product of its base and altitude. A=bh. (Fig. 21.) Example. Find the area of a rectangle 8 feet long ll and 3 feet...
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Plane Geometry: I. Abridged and Applied. II. College Preparatory

Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 383 pages
...their remaining dimensions. 23. Any two rectangles compare as the products of their dimensions. 24. The area of a rectangle is equal to the product of its base and altitude. 25. The area of a parallelogram is equal to the product of its base and altitude....
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 192 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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