 | John Henry Walsh - 1893 - 392 σελίδες
...first = 3 X 3 sq. ft. ; of second, 5 x 5 sq. ft. ; of third, V9 x 25 sq. ft. = 15 sq. ft. NOTE. — The mean proportional between two numbers is equal to the square root of their product. 13. Find the volume of the frustum of a square pyramid, its upper base containing 64 square inches,... | |
 | Webster Wells - 1893 - 360 σελίδες
...square of the mean proportional between two numbers is equal to the product of the numbers. Hence, the mean proportional between two numbers is equal to the square root of their product. EXAMPLES. 270. 1. Find a fourth proportional to 7, 10, and 21. By Art. 268, the required fourth proportional... | |
 | John Henry Walsh - 1893 - 426 σελίδες
...first = 3 X 3 sq. ft. ; of second, 5 x 5 sq. ft. ; of third, V9 x 25 sq. ft. = 15 sq. ft. NOTE. — The mean proportional between two numbers is equal to the square root of their product. 13. Find the volume of the frustum of a square pyramid, its upper base containing 64 square inches,... | |
 | William Chauvenet - 1893 - 340 σελίδες
...the proportion a : b = b : c, we have & = ac, whence 6 = \/ac; that is, a mean proportional (II., 36) between two numbers is equal to the square root of their product. 6. Conversely, if the product of two numbers is equal to the product of two others, either two may... | |
 | George P. Lilley - 1894 - 522 σελίδες
...a : Ъ :: Ь : с. 4 Therefore I., l'¿ = nc. Extract the square root, Ъ = -у/а с. Hence, III. A mean proportional between two numbers is equal to the square root of their product. Let a : 6 : : с : d. Therefore I., ad = be. а Ъ Divide by с d, - = -5 • IV. If four numbers are,... | |
 | John Henry Walsh - 1895 - 400 σελίδες
...first = 3 x 3 sq. ft. ; of second, 5 x 5 sq. ft. ; of third, V9 x 25 sq. ft. = 15 sq. ft. NOTE. — The mean proportional between two numbers is equal to the square root of their product. 13. Find the volume of the frustum of a square pyramid, its upper base containing 64 square inches,... | |
 | John Henry Walsh - 1895 - 480 σελίδες
...= 3 x 3 sq. ft. ; of second, 5 x 5 sq. ft. ; of third, л/9 x 25 sq. ft. = 15 sq. ft. NOTE. — The mean proportional between two numbers is equal to the square root of their product. 13. Find the volume of the frustum of a square pyramid, its upper base containing 64 square inches,... | |
 | William Frothingham Bradbury - 1895 - 398 σελίδες
...three terms of a proportion are given, the remaining term can be found. Hence, the name, Eule of Three. A mean proportional between two numbers is equal to the square root (Art. 438) of tlicir product. (17.) 8 : 2 = 12: í. (21.) ¿ : ^ = } : 1. (18.) С : 9 = ? : 12. (22.)... | |
 | John Henry Walsh - 1899 - 260 σελίδες
...first = 3 X 3 sq. ft. ; of second, 5 x 5 sq. ft. ; of third, V9 x 25 sq. ft. = 15 sq. ft. NOTE. — The mean proportional between two numbers is equal to the ' square root of their product. 13. Find the volume of the frustum of a square pyramid, its upper base containing 64 square inches,... | |
 | James Morford Taylor - 1900 - 504 σελίδες
...If a:b = b: c = c:d, then b and с are called the two mean proportionals between a and d. 334. The mean proportional between two numbers is equal to the square root of their product. Proof. If a : b = b : c, then o2 = etc, or b = Vac. Exercise 121. From each of the following products... | |
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A mean proportional between two numbers is equal to the square root of their product. 
