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The mean proportional between two numbers is equal to the square root of their product.
Mathematics for Practical Men - Página 45
por Olinthus Gregory - 1833 - 427 páginas
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## Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1834 - 427 páginas
...found equal, we may infer the equality of their ratios, or the proportion -£ = y, or 5 : 3 : : 15 : 9. So that a proportion may always be constituted with...x 9) = 6. . 3. If a proportion contain an unknown tern}, such, for example, as 5 : 3 : : 15 : the unknown quantity ; since 5 times the ttnknown quantity...
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## Mathematics for Practical Men: Being a Common-place Book of ... Pure and ...

Olinthus Gregory - 1838 - 427 páginas
...15 are found equal, we may infer the equality of their ratios, or the proportion i = y, or 5 : 3 : : 15:9. So that a proportion may always be constituted...product. Thus, between 4 and 9 the mean proportional is \/(4 x 9) = 6. 3. If a proportion contain an unknown term, such, for example, as 5 : 3 : : 15 : the...
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## The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - 1840 - 224 páginas
...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...
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## Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 páginas
...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,...
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## A manual of arithmetic

...= 32; and in the series 1:2:4:8:16, 1X6 = 2x8 = 4x4= 16 = 4"; hence, a geometrical mean between any two numbers is equal to the square root of their product; thus, a geometrical mean between 2 and 8 = J2 x 8 = */l6 = 4. The most useful problems in geometrical progression,...
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## Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 páginas
...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,...
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## Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 páginas
...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...
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## Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 páginas
...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—...
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## Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 422 páginas
...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...
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## The principles and practice of arithmetic

John Hind - 1856
...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...
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