 | 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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 470 pages
...the number of linear units in its altitude. Scholium 2. The product of two lines is sometimes callei the rectangle of the lines, because the product is...altitude. Let ABCD be a parallelogram, AB its base, and BJS its altitude : then will the area of AB CD be equal t* AB x BE. For, construct the rectangle ABEF,... | |
 | 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,... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...lines as sides. PROPOSITION V. THEOREM. The area of a parallelogram is equal to the product of it» base and altitude. Let ABCD be a parallelogram, AB...base, and BE its altitude : then will the area of ABCD be equal to AB x BE. For, construct the rectangle ABE!\ having the same base ' and altitude :... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...linear units contained in the 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...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,... | |
 | 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 - 124 pages
...be neglected. 91 Corollary. The area of a square is the square of one of its sides. THEOREM III. 101 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_ _ F 0 lelogram ABCD ; then the area of / . \7 At A draw the perpendicular... | |
 | 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.... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...continued product of the number of linear units in each of the three lines. Thus, when we say that the area of a parallelogram is equal to the product of its base and altitude, we mean that the number of superficial units in the parallelogram is equal to the number of linear... | |
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The area of a parallelogram is equal to the product of its base and altitude. 
