| 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... | |
| 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... | |
| William Chauvenet - Geometry - 1875 - 390 pages
...— = the numerical measure, or Tt area, of the rectangle R (1) ; therefore, Area of R = k X h. 8. Scholium I. When the base and altitude are exactly...equal to the product of its base and altitude. Let AB CD be a parallelogram, k the numerical measure of its base AB, h that of its altitude AF; and denote... | |
| 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... | |
| 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... | |
| 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... | |
| 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 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... | |
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