| 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... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...is equal to the area of a rectangle constructed with the lines as sides. D E PROPOSITION V. THEOREM. The area of a parallelogram is equal to 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... | |
| Charles Davies - Geometry - 1864 - 358 pages
...FBTHEOREM VIIIThe area of any parallelogram is equal to the product of its bast by its altitudeLet ABCD be any parallelogram, and BE its altitude : then will its area be equal to AB x BEFor, draw AF perpendicular to the ft base AB, and produce CD to F- Then, the parallelogram BD... | |
| C. Davies - 1867 - 342 pages
...' THEOREM VIIIThe area of any parallelogram is equal to the product of its Saw by its altitude'Let ABCD be any parallelogram, and BE its altitude : then will its area be equal to AB x BEFor, draw AF perpendicular to the f• base AB, and produce CD to F- Then, the parallelogram... | |
| 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 be equal to For, at the points... | |
| 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 of 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... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...base, and the oth«r 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 altitude, and AB its base ; then is its surface... | |
| William Chauvenet - Mathematics - 1872 - 382 pages
...lines 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 of 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... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...of a number" has been adopted to signify "second power of a number." PROPOSITION IV.—THEOREM. 10. The area of a parallelogram is equal to the product of its base and altitude. Let And) be a parallelogram, k the numerical measure of its base AB, h that of its altitude AF; and denote... | |
| William Frothingham Bradbury - Geometry - 1872 - 262 pages
...be neglected. 9. CoroUary. The area of a square is the square of one of its sides. THEOREM III. 10, The area of a parallelogram is equal to the product of its base and altitude. Let DF be the altitude of the paral- E B_ FC lelogram A BCD; then the area of \l '. [~7 ABCD — ADXDF.... | |
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