The Teacher's Assistant, and Scholar's Mathematical Directory: Containing, Besides Other Things Useful in Practice, and for Rendering Study Easy, a Solution of the ... Questions in Pike, Walsh, Adams, Daboll, and Robinson's Arithmetics, and Flint's Surveying

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Marsh, Capen and Lyon, 1830 - 109 páginas
 

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Página 89 - THE BORROWER WILL BE AN OVERDUE FEE IF THIS BC RETURNED TO THE LIBRARY ON OR --.^T^ TUC TA«T DATE STAMPED The borrower must return this item on or be the last date stamped below. If another places a recall for this item, the borrower...
Página 65 - The power is to the weight which is to be raised, as the distance between two threads of the screw, is to the circumference of a circle described by the power applied at the end of the lever.
Página 61 - If the breadth of a river is uniform, the motion of the water is accelerated in the same manner with any body moving down an inclined plane. And the force with which a body descends down an inclined plane is to that with which it would descend freely in air, as the elevation of the plane is to its length, or as the sine of the angle of inclination is to radius. 2. The water at the bottom of a river runs faster than the water at the surface. And the velocity of each drop of water in a river of uniform...
Página 63 - The time of a vibration, in a cycloid, is to the time of a heavy body's descent through half its length as the circumference of a circle to its diameter^ therefore to find the length of a...
Página 1 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~
Página 8 - Multiply £ the sum of the extremes by the number of terms, and the product will be the answer 10.
Página 49 - Rule. — Multiply the circumference of the base by the slant height or" length of the side, and half the product will be the surface.
Página 59 - To find the velocity, per second, with which a heavy body will begin to descend, at any distance from the earth's surface. RULE. As the square of the earth's semidiameter is to 16 feet, so is the square of any other distance from the earth's centre, inversely, to the velocity with which it begins to descend per second.

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