 | John Hind - Arithmetic - 1840 - 252 pages
...is equal to the Square ofV the Geometrical Mean between them : and consequently the geometrical mean between two numbers is equal to the Square Root of their product. These terms and the corresponding operations form the substance of the next Chapter, and they have... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...mean. Let - - - - a:b::b:c: Then ?-* b c' Or ac-lf. COR. The mean proportional, or geometrical mean, between two numbers is equal to the square root of their product. Thus, if ac=b\ then 6=v/ac. 366. — (4.) If four numbers be proportional, 1. the order of the extremes,... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...a:b::b:c: Then - " , - - - - a -J>-, bc Or ...... ac=b\ COR. The mean proportional, or geometrical mean, between two numbers is equal to the square root of their product. Thus, if ac = b2, then b=Vac. 366.—(4.) If four numbers be proportional, 1. the order of the extremes,... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...side of a square farm which contains 300 acres ; and how far apart are its opposite corners ? 582. A mean proportional between two numbers is equal to the square root of their product. (Arts. 494, 498. Obs. 2.) Qr*sT.— 5SO. When the bypothenusc and perpendicular are given, how is the... | |
 | James Bates Thomson - Arithmetic - 1847 - 432 pages
...side of a square farm which contains 360 acres ; and how far apart are its opposite corners ? 582. A mean proportional between two numbers is equal to the square root of their product. (Arts. 494, 498. Obs. 2.) 5. Find a mean proportional between 2 and 8. Solution. — 8X2=16; and Vl6—... | |
 | James Bates Thomson - Arithmetic - 1848 - 434 pages
...side of a square farm which contains 360 acres ; and how far apart are its opposite corners ? 582. A mean proportional between two numbers is equal to the square root of their product. (Arts. 494, 498. Obs. 2.) <lu«rr.— 580. When the hypothenuse and perpendicular are given, how is... | |
 | John Hind - 1856 - 346 pages
...is equal to the Square of the Geometrical Mean between them : and consequently the geometrical mean between two numbers is equal to the Square Root of their product. These terms and the corresponding operations form the chief substance of the next Chapter, and they... | |
 | Olinthus Gregory - 1863 - 482 pages
...factors of two equal products. 2. If the means are equal, their product becomes a square ; therefore the mean proportional between two numbers is equal to the square root of their product. Thus, between 4 and 9 the mean proportional is v/(4 x 9) = 6. 3. If a proportion contain an unknown... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...means are equal, as in the proportion a : b = b : c, we have V == ac, whence b = \/ac • that is, a mean proportional 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... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...means are equal, as in the proportion a : b = b : c, we have 6 a = ac, whence 6 = \/ac ; that is, a mean proportional 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... | |
| |
The mean proportional between two numbers is equal to the square root of their product. 
