| Adrien Marie Legendre - Geometry - 1874 - 500 pages
...product is equal to the area of a rectangle constructed with the lines as sides. 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 will the area of AB CD be equal... | |
| 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... | |
| 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... | |
| 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... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...equal to the unit of measure ; and the area of the figure equals 7X4. PROPOSITION IV. THEOREM. 321. The area of a parallelogram is equal to the product of its base and altitude. BE CFB CE F D AD Let AE FD be a parallelogram, AD its base, and С D its altitude. We are to prove... | |
| William Guy Peck - Arithmetic - 1877 - 430 pages
...its altitude ? Ans. 16 ft. AREA OF A PARALLELOGRAM. 285. It is shown in Geometry (B. 4, P. 3), that the area of a parallelogram is equal to the product of its base and altitude; that is, Area of parallelogram = Base x Altitude. EXAM PLE S. 1. The base of a parallelogram is 14... | |
| Albert Newton Raub - Arithmetic - 1877 - 348 pages
...are the rules for the measurements of triangles: It was proved in Denominate Numbers (Art. 107) that the area of a parallelogram is equal to the product of its base and altitude, and since a triangle is half a parallelogram, we derive the following RULE. 1. To find the area of... | |
| William Chauvenet - Geometry - 1877 - 396 pages
...is measured by the product of the numerical measures of the lines. PROPOSITION IV.— THEOREM. 10. The area of a parallelogram is equal to the product of its bass and altitude. Let AB CD be a parallelogram, k the * D numerical measure of its base AB, h that... | |
| William Frothingham Bradbury - Arithmetic - 1879 - 392 pages
...of a parallelogram is the perpendicular distance from the opposite side to the base ; as К N. 47L The area of a parallelogram is equal to the product of its base and altitude. NOTE. For the Rectangle see Arts. 197-201. 7. What is the area of a parallelogram whose base is 25... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...surface is the product of the number of linear units in the two sides. Corollary 1.—The area of any parallelogram is equal to the product of its base and altitude. For it is equal to a rectangle of the same base and altitude (I. 33). Corollary 2.—The area of a triangle... | |
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