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" A mean proportional between two numbers is equal to the square root of their product. "
Higher Arithmetic, Or, the Science and Application of Numbers: Combining the ... - Σελίδα 374
των James Bates Thomson - 1862 - 422 σελίδες
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Mathematics for Practical Men

Olinthus Gregory - 1833 - 427 σελίδες
...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...

The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - 1840 - 224 σελίδες
...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...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...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,...

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 358 σελίδες
...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,...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...the top of a house : how high •was the house ? 4 3. Two ships, one sailing 7 miles, the other 12 miles an hour, spoke each other at sea ; one was going...square root of their product. (Arts. 494, 498. Obs. 2.) 5. Find a mean proportional between 2 and 8. Solution. — 8X2=16; and Vl6— 4. AM. Find a mean proportional...

HIGHER ARITHMETIC; OR THE SCIENCE AND APPLICATION OF NUMBERS; COMBINING THE ...

JAMES B. THOMSON - 1847
...reached the top of a house : how high was the house ? 3. Two ships, one sailing 7 miles, the other 12 miles an hour, spoke each other at sea ; one was going...58-2* A mean proportional between two numbers is equal 4o the square root of their product. (Arts. 494, 498. Obs. 2.) 5. Find a mean proportional between...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...reached the top of a house : how high was the house ? 3. Two ships, one sai'ing T miles, the other 12 miles an hour, spoke each other at sea; one was going...length of the side of a square farm which contains 300 acres ; and how far apart are its opposite corners ? 582. A mean proportional between two numbers...

Higher Arithmetic, Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 422 σελίδες
...reached the top of a house: how high was the house ? 3. Two ships, one sailing 7 miles, the other 12 miles an hour, spoke each other at sea; one was going...square root of their product. (Arts. 494, 498. Obs. 2.) 6. Find a mean proportional between 2 and 8. Solution. — 8X2 = 16; and \/16 = 4r Ans. Find a mean...

Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1855 - 422 σελίδες
...reached the top of a house : how high was the house ? 3. Two ships, one sailing 7 miles, the other 12 miles an hour, spoke each other at sea; one was going due east, the other duo south : how far apart were they at the expiration of 12 hours ? 4. What is the length of the side...

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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