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" The area of a parallelogram is equal to the product of its base and altitude. "
Elements of Geometry and Trigonometry - Page 93
by Adrien Marie Legendre - 1852 - 432 pages
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...be neglected. 91 Corollary. The area of a square is the square of one of its sides. THEOREM III. 101 The area of a parallelogram is equal to the product of its base and altitude. Let DF be the altitude of the paral- E B_ _ F 0 lelogram ABCD ; then the area of / . \7 At A draw the perpendicular...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...continued product of the number of linear units in each of the three lines. Thus, when we say that the area of a parallelogram is equal to the product of its base and altitude, we mean that the number of superficial units in the parallelogram is equal to the number of linear...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 132 pages
...neglected. 9, Corollary. The area of a square is the square of one of its sides. THEOREM III. 10« The area of a parallelogram is equal to the product of its base and altitude. ' — 7 -- " - '• — 7 lelogram AB CD ; then the area of j / / Let DF be the altitude of the paral-...
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Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873 - 292 pages
...57°.39577— 57°-29577 — 5729577" whence BAC=53° 38' 30", and a;=100xtan. BAC=407-5. PROB. 63. Since the area of a parallelogram is equal to the product of its base by its altitude,* and the area of triangle =£ area of a parallelogram with same base and altitude,...
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Plane and Spherical Trigonometry, Part 1

Henry W. Jeans - 1873 - 272 pages
...4x57°-29577 57°-29577 5729577 whence BAC=53° 38' 30", and *=100 xtan. BAC=407'5. PEOB. 63. Since the area of a parallelogram is equal to the product of its base by its altitude,* and the area of triangle = J area of a parallelogram with same base and altitude,...
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Elements Of Geometry And Trigonometry

Charles Davies - 1874 - 464 pages
...is equal to the area of a rectangle constructed with the lines as sides. D E PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of its base and altitude. Let AB CD be a parallelogram, AB its base, and BE its altitude : then will the area of ABCD be equal to...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...continued product of the number of linear units in each of the three lines. Thus, -when we say that the area of a parallelogram is equal to the product of its base and altitude, we mean that the number of superficial units in the parallelogram is equal to the number of linear...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 376 pages
...expresses the area of a rectangle whose adjacent sides are the given lines. PROPOSITION III. THEOREM. The area of a parallelogram is equal to the product of its base and altitude. Let ACDE be a parallelogram; draw AL K_ and CK perpendicular to AC meeting ED, and ED prolonged at L and...
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Annual Statement, Volumes 11-20

1876 - 646 pages
...a triangle divides the opposite side into segments which are proportional to the adjacent sides. 3. The area of a parallelogram is equal to the product of its base and altitude. 4. How do you find the area of a trapezoid ? The areas of similar polygons are to each other in what...
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The Model Elementary Arithmetic: Including Oral and Written Exercises

Alfred Kirk, Henry Holmes Belfield - Arithmetic - 1876 - 220 pages
...annexing to it, in the / manner shown, an equal / triangle, may form a par/ allelogram. 224=. Since the area of a parallelogram is equal to the product of its base and altitude; and since every parallelogram may be divided into two equal triangles having the same base and altitude...
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