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" The area of a parallelogram is equal to the product of its base and its height: A = bx h. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 129
by William Chauvenet - 1871 - 368 pages
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...linear units in its base by the number of linear units in its altitude. PROPOSITION IV. THEOREM. 251. The area of a parallelogram is equal to the product...its base and altitude. Let ABCD be a parallelogram. To prove that the area of £-2 ABCD = ABx AF. \ / Erect the perpendiculars AFsmd BE \l and produce...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...the product of 6 and 5, the numbers which express the lengths of the sides. PROP. IV. THKOREM. 309. The area of a parallelogram is equal to the product of its base and altitude. EB FC A h D Given O ABCD, with its altitude DF = a, and its base AD=b. To Prove area ABCD = a x b....
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An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...about the ellipse ; its sides are parallel to, and equal in length to, the conjugate diameters. Since the area of a parallelogram is equal to the product of its adjacent sides and the sine of the included angle, therefore the area of this circumscribed parallelogram...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...the product of 6 and 5, the numbers which express the lengths of the sides. PROP. IV. THEOREM. 309. The area of a parallelogram is equal to the product of its base and altitude. BFC A b D Given O ABCD, with its altitude DF=a, and its base To Prove area ABCD = ax b. Proof. Draw...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...unit of surface ; that is, the area is equal to 6 x 4 units of surface. Proposition 165. Theorem. 201. The area of a parallelogram is equal to the product of its base and altitude. A a Hypothesis. ABCD is a O whose base and altitude are AB and BE respectively. Conclusion. Area of...
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Observational Geometry

William Taylor Campbell - Geometry - 1899 - 276 pages
...feet wide instead of 27 feet. How much additional area does it contain f 2. Area of a Parallelogram. The area of a parallelogram is equal to the product of its base and altitude. The base is any one of the sides. The altitude is the perpendicular distance between the base and the...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 450 pages
...the product of 6 and 5, the numbers which express the lengths of the sides. PROP. IV. THEOREM. 309. The area of a parallelogram is equal to the product of its base and altitude. EBFC AI) D Given O ABCD, with its altitude DF= a, and its base AD = b. To Prove area ABCD = ax b. Proof....
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...Corollary. The area of a rectangle is equal to the product of its base and its altitude. THEOREM IV. The area of a parallelogram is equal to the product of its base and its altitude. THEOREM V. The area of a triangle is equal to half the product of its base and its altitude....
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1899 - 824 pages
...assumed without proof. Among the other error» in proving the second part it wa.s taken for true that the area of a parallelogram is equal to the product of its two adjacent sides. Questions 7. 8, and 9 were correctly demonstrated by nearly all (a considerable...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...=0= A AD F + A BED ; that is, ABCD =0= ABEF. Therefore, etc. QED MILNE'S GEOM. — 12 332. Cor. I. The area of a parallelogram is equal to the product of its base by its altitude. 333. Cor. II. Parallelograms are to each other as the products of their bases...
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