 | Peter Nicholson - 1823 - 210 σελίδες
...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 σελίδες
...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 σελίδες
...linear units contained in 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... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...square on a single one ; on a triple line it is nine times as great, &c. E PROPOSITION V. THEOEEM. The area of a parallelogram is equal to the product...and BE its altitude : then will its area be equal to ABxBE. Draw Af] ar1d complete the rectangle ABEF. The parallelogram ABCD is equivalent to the rectangle... | |
 | Charles Davies - 1886 - 340 σελίδες
...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... | |
 | Charles Davies, William Guy Peck - 1855 - 628 σελίδες
...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 σελίδες
...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 σελίδες
...evidently four times as great 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... | |
 | Elias Loomis - 1858 - 256 σελίδες
...linear units contained in 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. Let ABCD be a parallelogram, AF its -pn EC altitude, and AB its base ; then is... | |
 | Adrien Marie Legendre - 1863 - 464 σελίδες
...lines, because the product is equal to the area of a rectangle constructed with the lines as sides. D E PROPOSITION V. THEOREM. The area of a parallelogram...the product of its base and altitude. Let ABCD be a parallelogram, AB its base, and BE its altitude : then will the area of ABCD be equal to AB x BK... | |
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The area of a parallelogram is equal to the product of its base and altitude. 
