 | Peter Nicholson - 1823 - 210 sider
...rectangle is said to be contained by two of its sides, about any one of its angles. THEOREM 52. 147. The area of a parallelogram is equal to the product of its base and altitude. For the parallelogram ABCD is equal to the rectangle ABEF, which has the same base AB, and the same... | |
 | Nicholas Tillinghast - 1844 - 108 sider
...parallelogram is equivalent to a rectangle which has an equal base and equal altitude. Cor. 2. Hence the area of a parallelogram is equal to the product of its base by its altitude (Prop. 1).* Cor. 3. Hence parallelograms of equal altitudes, are in proportion... | |
 | Elias Loomis - 1849 - 252 sider
...the base, and the other the number of linear units contained in the altitude. PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of its base by its altitude. Cor. Parallelograms of the same base are to each other as their altitudes, and... | |
 | Charles Davies - 1850 - 238 sider
...EF+ AD x FB. THEOREM VIII. The area of any parallelogram is equal to the product of its Lose by its 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... | |
 | Charles Davies - 1850 - 218 sider
...ADxAB=ADxAE+-ADxEF+ADxFB. THEOREM VIII. The area of any parallelogram is equal to the product of its base by its 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... | |
 | Charles Davies - 1886 - 340 sider
...EF+ AD x FB. THEOREM V1H. The area of any parallelogram is equal to the product of its base by its altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to ABxBE. For, draw AF perpendicular to thn D base AB, and produce CD to F. Then, the parallelogram BD and the... | |
 | Charles Davies - 1854 - 436 sider
...the square on a single one ; on a triple line it is nine times as great, &c. PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product...and BE its altitude: then will its area be equal to AB x BE. Draw BE perpendicular to AB, and complete the rectangle ABEF. The parallelogram ABCD is equiv•... | |
 | Charles Davies, William Guy Peck - 1855 - 628 sider
...is an equilateral parallelogram or rhojnbus. The diagonals of a rectangle are equal to each other. The area of a parallelogram is equal to the product of its base by its altitude. Any two parallelograms having the same or equal bases are to each other as their... | |
 | Peter Nicholson - 1856 - 518 sider
...rectangle is said to be contained by two of its sides, about any one of its angles. THEOREM 43. 111. The area of a parallelogram is equal to the product of its base and altitude. For the parallelogram ABCD is equal to the rectangle ABEF, which has the same base AB, and the same... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 sider
...as the square on a single one ; on a triple line it is nine times as great, PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of its boat and altitude. Let ABCD be any parallelogram, and BE its altitude: then will its area be equal... | |
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The area of a parallelogram is equal to the product of its base and altitude. 
