| Peter Nicholson - Architecture - 1823 - 596 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 AB, and the same... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 96 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... | |
| 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... | |
| Charles Davies - Geometry - 1850 - 236 pages
...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 - Geometry - 1850 - 216 pages
...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 - Geometry - 1886 - 324 pages
...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 - 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...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 - Mathematics - 1855 - 630 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... | |
| Peter Nicholson - Cabinetwork - 1856 - 216 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 AB, and the same... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 444 pages
...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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