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" If two chords intersect in a circle, the difference of their squares is equal to the difference of the squares of the difference of the segments. "
The Principles of Analytical Geometry: Designed for the Use of Students - Page 79
by Henry Parr Hamilton - 1826 - 326 pages
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Elementary Treatise on Natural Philosophy, Part 1

Augustin Privat-Deschanel - Physics - 1873 - 266 pages
...the same level; and the velocities at any two points, not on the same level, are connected by the law that the difference of their squares is equal to the difference of levels multiplied by 2 g. 40. Composition of Motions.—Principle 2 of last section is a par ticular...
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A Synopsis of Elementary Results in Pure and Applied ..., Volume 1, Part 1

George Shoobridge Carr - Mathematics - 1880
...line of centres which divides the distance between the centres into segments, the difference of whose squares is equal to the difference of the squares of the radii. Thus, A, B being the centres, a, b the radii, and IP the the radical axis, AP—BP = a2—b2. (1) 985...
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Mechanics, hydrostatics and pneumatics

Augustin Privat-Deschanel - Physics - 1881 - 266 pages
...same level ; and the velocities at any two points, not on the same level, are connected by the law that the difference of their squares is equal to the difference of levels multiplied by Zg. 40. Composition of Motions. — Principle 2 of last section is a particular...
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Institutes of Logic

John Veitch - Logic - 1885 - 572 pages
...example, to quote a case, you may take the division of unity into arty two parts. Here it is shown that the difference of their squares is equal to the difference of the parts themselves. It does not matter what the numbers are. Letters will represent them. This is a universal...
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A Synopsis of Elementary Results in Pure Mathematics: Containing ...

George Shoobridge Carr - Mathematics - 1886 - 1036 pages
...line of centres which divides the distance between the centres into segments, the difference of whose squares is equal to the difference of the squares of the radii. Thus, А, В being the centres, a, b the radii, and IP the the radical axis, AP—BP = a2— 6s. 985...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...the common centre-line of two circles, and dividing the distance between the centres into parts such that the difference of their squares is equal to the difference of the squares on the conterminous radii, is the radical axis of the two circles. Cor. i. When two circles intersect,...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1894 - 313 pages
...the common centre-line of two circles, and dividing the distance between the centres into parts such that the difference of their squares is equal to the difference of the squares on the conterminous radii, is the radical axis of the two circles. Cor. i. When two circles intersect,...
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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - Algebra - 1898 - 480 pages
...that it is impossible to find two unequal positive integral numbers, neither of which is zero, such that the difference of their squares is equal to the difference of the numbers themselves. 44. Find two consecutive even integers twice the product of which shall exceed...
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Original Exercises in Plane and Solid Geometry

Levi Leonard Conant - Geometry - 1905 - 140 pages
...of centers is a point which divides the line of centers into two segments, the difference of whose squares is equal to the difference of the squares of the radii of the circles. If the two circles are tangent to each other, the radical axis is the common interior...
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