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... force of attraction to vary directly as the quantity of matter, and inversely as the square of the distance, at what point between them will a third body be equally attracted by the earth and moon ? Ans.
A Treatise on Algebra - Page 371
by Elias Loomis - 1873 - 360 pages

## A Popular Treatise on Comets

James Craig Watson - Comets - 1861 - 384 pages
...the researches of Lagrange, Laplace, and others, every portion of matter attracts and is attracted directly as the quantity of matter, and inversely as the square of the distance from the attracting body. This is the law of universal gravitation ; and it may be perceived...

## An Analytical Compendium of the Various Branches of Medical Science: For the ...

John Neill, Francis Gurney Smith - 1861 - 994 pages
...bodies to fall towards the earth's centre. The great law of gravitation is, that " the attraction is directly as the quantity of matter, and inversely as the square of the distance." This law also regulates the movements of the solar system. Capillarity. — This is the...

## New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...second and the reciprocal of the third. Thus, in physics, the attraction of a planetary body varies directly as the quantity of matter, and inversely as the square of the distance. • 330. If A varies as B, then A is equal to B multiplied by tome constant quantity. Let...

## The astronomical observer

William Arthur Darby - 1864 - 150 pages
...beauty, and harmony. That law is — " That the centres of all bodies arc attracted towards each other directly as the quantity of matter, and inversely as the square of their distances." Leibnitz said of Newton, " Taking mathematicians from the beginning of the world...

## Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 422 pages
...of the moon, and their mean distance asunder 240000 miles. Now the attraction of gravitation being directly as the quantity of matter, and inversely as the square of the distance from the center of attraction, it is required to find at what point on the line passing through...

## Elements of Algebra: For Colleges, Schools, and Private Students, Book 2

Joseph Ray - Algebra - 1866 - 420 pages
...that of the moon, and their mean distance asunder 240000 miles. The attraction of gravitation being directly as the quantity of matter, and inversely as the square of the distance from the center of attraction, it is required to find at what point on the line passing through...

## A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...Supposing the mass of the earth to be 80 times that of the moon, their distance 240,000 miles, and'the force of attraction to vary directly as the quantity...5-J days by two masons, one of whom commenced work 1J days later than the other. .In order to complete the wall alone, the first would have required 3...

## A New Manual of the Elements of Astronomy

Henry Kiddle - 1868 - 300 pages
...it at more than twice that of the earth. e. Superficial Gravity at Mercury.—Since gravity varies directly as the quantity of matter, and inversely as the square of the distance from the centre, at the surface of Mercury it must be nearly (tSSS) 8 X .063, or ^ X .063...