| Thomas Tate (mathematical master.) - 1848 - 284 pages
...then BCFE will be converted into the rectangle BCDA. From this theorem it follows that the area of a parallelogram is equal to the area of a rectangle having the same base and perpendicular height ; hence we have the following rule for finding the area of a parallelogram. Rule.... | |
| Thomas Tate - Geometry - 1855 - 296 pages
...converted into the rectangle в c DA:. From, this theorem it follows that the area, of a parallels gram is equal to the area, of a rectangle having the same base and perpendicular height ; hence we have the following rule for finding the area of a parallelogram. Rule.... | |
| Euclides - 1858 - 248 pages
...be converted into a rectangle ABCE, which by Prop. 35, is equivalent to ABD F. Hence, the area of a parallelogram is equal to the area of a rectangle having the same base and altitude ; and if we multiply the linear units in the base by the linear units in the altitude, we obtain the... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...are equal (Def. 2, Sec. VI), ita area may be found by multiplying one side into itself. THEOREM XVII. The area of any parallelogram is equal to the area...opposite sides of a parallelogram they are equal (Theo. XIII) ; and for the same reason AB and EF are equal; therefore DC is equal to EF (Ax. 3). Taking away... | |
| Euclides - 1863 - 74 pages
...converted into a rectangle ABCE, which by Prop. 35, is equivalent to ABDF. , Hence, the- area of a parallelogram is equal to the area of a rectangle having the same base and altitude; and if we multiply the linear units in the base by the linear units in the altitude, we obtain the... | |
| Joseph Ficklin - Arithmetic - 1881 - 406 pages
...by 12 ft. wide. SOLUTION. 18 ft. x 12 = 216 sq. ft = 24 sq. yd., Ans. EXPLANATION. — The area of a parallelogram is equal to the area of a rectangle having the same base and altitude. Hence, , FORMULA : Area of a parallelogram = Base x Altitude. 2. How many square feet in a lawn 64... | |
| Joseph Ficklin - Arithmetic - 1881 - 412 pages
...12 ft. wide. SOLUTION. 18 ft. x 12 = 216 sq. ft. = 24 sq. yd., Ans. EXPLANATION. — The area of a parallelogram is equal to the area of a rectangle having the same I \ base and altitude. Hence, I FORMULA : Area of a parallelogram — Base x Altitude. 2. How many... | |
| Wm. M. Peck - 1894 - 310 pages
...a perpendicular line drawn from the base to the opposite side, or to the opposite side produced. 1. The area of any parallelogram is equal to the area of a rectangle having the same base and height. 2. The area of any trapezoid is equal to half the sum of the parallel sides multiplied by the... | |
| Edwin Crawford Hewett - Arithmetic - 1897 - 376 pages
...only two sides parallel. TRAPEZIUM. 11. A trapezium is a quadrilateral having no parallel sides. 12. The area of any parallelogram is equal to the area of a rectangle having the same base and height. This statement is illustrated by the drawing in the margin: AB The lines AF and BE are drawn... | |
| George Chrystal - Algebra - 1898 - 480 pages
...absolute areas. § 90. The fundamental theorem in the mensuration of plane areas is the proposition that the area of any parallelogram is equal to the area of a rectangle contained by its base and its altitude ; or the proposition, immediately derivable therefrom, that... | |
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