 | Peter Nicholson - Architecture - 1823 - 210 pages
...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... | |
 | Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...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 to each other... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...therefore the solidity of the cylinder, to which is of equal base and altitude with the prism, must be equal to the product of its base by its altitude ; that is, equal to area RC x H. Hence, The solidity of a cylinder is equal, fyc. Cor. 1 . Cylinders of the same... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...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 parallelograms... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 of its base and altitude. Let ABCD be any parallelogram, and BE its altitude : then will its area be equal... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...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 of its base and altitude. Let ABCD be any parallelogram, and BE its altitude: then will its area be equal... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...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 altitudes... | |
 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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 its surface... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...cancelling the equal factor in the second couplet of Cor. 1, we have, ABCD : EFGH:: AB : EF. THEOREM II. The area of a parallelogram is equal to the product of its base and altitude. Let ABCD be a parallelogram, AB its base, and EB its altitude; then will its area... | |
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The area of a parallelogram is equal to the product of its base and its height: A = bx h. 
