| George Albert Wentworth - Mathematics - 1896 - 68 pages
...their altitudes. 363. The area of a rectangle is equal to the product of its base and altitude. 365. The area of a parallelogram is equal to the product of its base and altitude. 366. Cor. 1. Parallelograms having equal bases and equal altitudes are equivalent. 367. Cor. 2. Parallelograms... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...diagonal of a parallelogram divides it into two equal triangles.] But area paral. ABCX—axb. §3^6 [The area of a parallelogram is equal to the product of its base and altitude.] Therefore area triangle ABC=\ ax b. Ax. 8 QED 371. COR. I. Triangles having equal bases and equal altitudes... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...origin of the custom of calling the second power of a number its "square." PROPOSITION V. THEOREM 306. The area of a parallelogram is equal to the product of its base and alt1tude. GIVEN — the parallelogram ABCD, with base b and altitude a. To PROVE the area of ABCD =... | |
| Silas Ellsworth Coleman - Arithmetic - 1897 - 180 pages
...opposite side. A = 6a The altitude of a rectangle is equal to the side not taken as base. The area (A) of a parallelogram is equal to the product of its base and its altitude. EXPLANATION. This is a familiar fact in the case of rectangles ; the common form of statement... | |
| Middlesex Alfred Bailey - Arithmetic - 1897 - 332 pages
...273, and 274. III. The area of a rectangle is equal to the product of its base by its altitude. IV. The area of a parallelogram is equal to the product of its base by its altitude. V. The area of a triangle is equal to one half the product of its base by its... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...linear units in its base by the number of linear units in its altitude. PROPOSITION IV. THEOREM. 251. The area of a parallelogram is equal to the product of its base and altitude. Let ABCD be a parallelogram. To prove that the area of £-2 ABCD = ABx AF. \ / Erect the perpendiculars AFsmd BE... | |
| Webster Wells - Geometry - 1898 - 250 pages
...the product of 6 and 5, the numbers which express the lengths of the sides. PROP. IV. THKOREM. 309. The area of a parallelogram is equal to the product of its base and altitude. EB FC A h D Given O ABCD, with its altitude DF = a, and its base AD=b. To Prove area ABCD = a x b.... | |
| John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...about the ellipse ; its sides are parallel to, and equal in length to, the conjugate diameters. Since the area of a parallelogram is equal to the product of its adjacent sides and the sine of the included angle, therefore the area of this circumscribed parallelogram... | |
| Webster Wells - Geometry - 1899 - 450 pages
...the product of 6 and 5, the numbers which express the lengths of the sides. PROP. IV. THEOREM. 309. The area of a parallelogram is equal to the product of its base and altitude. EBFC AI) D Given O ABCD, with its altitude DF= a, and its base AD = b. To Prove area ABCD = ax b. Proof.... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...unit of surface ; that is, the area is equal to 6 x 4 units of surface. Proposition 165. Theorem. 201. The area of a parallelogram is equal to the product of its base and altitude. A a Hypothesis. ABCD is a O whose base and altitude are AB and BE respectively. Conclusion. Area of... | |
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