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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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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...product is equal to the area of a rectangle constructed with the lines as sidea PROPOSITION V. THEOREM. The area of a parallelogram, is equal to the product of its base and altitude. Let ABCD be a parallelogram, AB its base, and BE its altitude : then the area of ABCD is equal to AB x BE. For,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 352 pages
...EF+AD x FB. THEOREM VIII. The area of any parallelogram is equal to the product of its bast by \ts altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to AB x BE. For, draw AF perpendicular to the base AB, and produce CD to F. Then, the parallelogram BD...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...square inches, and its base is 2 yards, what is its perimeter in feet? PROPOSITION IV. THEOREM. 324. The area of a parallelogram is equal to the product of its base and altitude. EBFC A b Let ABCD be a parallelogram having its altitude DF equal to a and its base AD equal to b....
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...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 altitude. PROPOSITION VI. The area of a triangle is equal to half the product of its base and altitude. Corollary...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...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 altitude. PROPOSITION VI. The area of a triangle is equal to half the product of its base and altitude. Corollary...
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A Treatise on Plane Surveying

Daniel Carhart - Surveying - 1888 - 530 pages
...is equal to the product of its length and breadth, or A = bl where b = breadth and I = length. 51. The Area of a Parallelogram is equal to the product of its base and altitude, or A = bh where b= breadth and h= height. 52. The Area of a Trapezoid is equal to the product of onehalf...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...the figure equals 7x4 units of surface. PLANE GEOMETRY. — BOOK IV. PROPOSITION IV. THEOREM. 365. The area of a parallelogram is equal to the product of its base and altitude. BECF A b DA 6 Z> Let AEFD be a parallelogram, AD its base, and CD its altitude. To prove the area of...
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Catalogue of the Officers and Students

Trinity College (Hartford, Conn.) - 1888 - 978 pages
...they are eqiml or supplementary. 4. An inscribed angle is measured by one-half its intercepted arc. 5. The area of a parallelogram is equal to the product of its base and altitude. 6. The area of a trapezoid is equal to one-half the product of its nltitiule and the sum of its parallel...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...altitude are commensurable. CASE II. When they are incommensurable. Proposition II. A Theorem. 237. The area of a parallelogram is equal to the product of its base and altitude. COROLLARY. Parallelograms having equal bases and altitudes are equivalent. Proposition III. A Theorem....
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 80 pages
...altitude are commensurable. CASE II. When they are incommensurable. Proposition II. A Theorem. 237. The area of a parallelogram is equal to the product of its base and altitude. Proposition III. A Theorem. 238. Parallelograms are to each other as the products of their respective...
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