...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...

...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,...

...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,...

...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...

...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...

...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...

...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...

...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...

...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...

...reached the top of a house: how high was the house ? 3. Two ships, one sailing 1 miles, the other 12 miles an hour, spoke each other at sea ; one was going...582. A mean proportional between two numbers is equal 'io the square root of their product. (Arts. 494, 498. Obs. 2.) 5. Find a mean proportional between...