| 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 AB, and the same... | |
| 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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...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 - 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 to ABxBE. Draw Af] ar1d complete... | |
| Charles Davies - Geometry - 1854 - 436 pages
...four times as great as 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...the product of its base and altitude. Let ABCD be** any parallelogram, and BE its altitude: then will its area be equal to AB x BE. Draw BE perpendicular... | |
| 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... | |
| 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 AB, and the same... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...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... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...interesting and practical books of Geometry. AREA OF POLYGONS. THEOREM I. The area of a rectangle is **equal to the product of its base and altitude. Let ABCD be a** rectangle; then will its area be equal to the product of its base and altitude. For, let the line AE... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...is measured by the product of the numerical measures of the lines. PROPOSITION IV.— THEOREM. 10. **The area of a parallelogram is equal to the product...its base and altitude. Let ABCD be a parallelogram,** k the numerical measure of its base AB, h that of its altitude AF; and denote its area by S; then,... | |
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