| John Farrar - Logarithms - 1822 - 270 pages
...corresponding oblique side CB by the sine of the angle of the parallelogram, radius being unity (Trig. 30). **Hence, the area of a parallelogram is equal to the product of** any two contiguous sides multiplied by the sine of the contained angle, radius being unity. Given AB... | |
| John Farrar - Logarithms - 1822 - 244 pages
...corresponding oblique side CB by the sine of the angle of the parallelogram, radius being unity (Trig. 30). **Hence, the area of a parallelogram is equal to the product of** any two contiguous sides multiplied by the sine of the contained angle, radius being unity. Given AB... | |
| 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... | |
| John Farrar - Trigonometry - 1833 - 276 pages
...corresponding oblique side CB by the sine of the angle of the parallelogram, radius being unity (Trig. 30). **Hence, the area of a parallelogram is equal to the product of** any two contiguous sides multiplied by the sine of the contained angle, radius being unity. Given AB... | |
| John Farrar - Trigonometry - 1833 - 274 pages
...corresponding oblique side CB by the sine of the angle of the parallelogram, radius being unity ((Trig. 30). **Hence, the area of a parallelogram is equal to the product of** any two contiguous sides multiplied by the sine of the ( contained angle, radius being unity. Given... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...any triangle is equal to the product of its base by half its altitude. UOR. 1. Hence, the area of any **parallelogram is equal to the product of its base by its altitude. PROP.** XXIV. THEOR. The parallelograms about the diameter of any parallelogram, are similar to the whole,... | |
| 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... | |
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