| Seth Thayer Stewart - Geometry - 1891 - 428 pages
...that : The area of a rectangle is equal to the product of its base and altitude. PROPOSITION XIV. 353. Theorem : The area of a parallelogram is equal to the product of the base and altitude. Statement : Let S be any parallelogram. The area of S is equal to the product... | |
| William Chauvenet - 1893 - 340 pages
...PROPOSITION IV. The area of a rectangle is equal to the product of its base and altitude. PROPOSITION V. The area of a parallelogram is equal to the product of its base and altitude. PROPOSITION VI. The area of a triangle is equal to half the product of its base and altitude. Corollary... | |
| William C. Bartol - Geometry, Solid - 1893 - 112 pages
...sides proportional. 371. A Parallelogram is a quadrilateral which has its opposite sides parallel. 372. The area of a parallelogram is equal to the product of its base and altitude. 373. The area of a circle equals the square of the radius multiplied by n, ie A = n K 2 . 374. In the... | |
| William Shaffer Hall - Measurement - 1893 - 88 pages
...9.5781 P. § 23. To find the area of a parallelogram when the base and altitude are given. [14] EULE: The area of a parallelogram is equal to the product of its base and altitude. For Proof: See Ww. Geom., 321. §. 24. To find the area of a trapezoid. [15] RULE: The area is equal... | |
| George Clinton Shutts - Geometry - 1894 - 412 pages
...fractional number of times in the base and altitude the same rule is reached. PROPOSITION IV. 330. Theorem. The area of a parallelogram is equal to the product of its base and altitude. Suggestion. § 323 and § 326. PROPOSITION V. 331. Theorem. The area of a triangle is equal to one-half... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...246. Theorem. Parallelograms having equal bases and equal altitudes are equivalent. 247. Corollary. The area of a parallelogram is equal to the product of its base and its altitude. 248. Theorem. The area of a triangle is equal to half the product of its base and its... | |
| William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...of a parallelogram is the perpendicular distance from the opposite side to the base ; as К N. 47L The area of a parallelogram is equal to the product of its base and altitude. NOTE. For the Rectangle see Arts. 197-201. 7. What is the area of a parallelogram whose base is 25... | |
| Bothwell Graham - Arithmetic - 1895 - 240 pages
...is one-half the diameter. clrcleMEASUREMENT OF PLANES. 16. It is demonstrated in Geometry : I. That the area of a parallelogram is equal to the product of its base and altitude. II. Tliat the area of a triangle is equal to one-half the product of its base by its altitude. III.... | |
| 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... | |
| |