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" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ... - Page 302
by Albert Newton Raub - 1877 - 342 pages
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The Daily Life: Or, Precepts and Prescriptions for Christian Living

John Cumming - Christian life - 1855 - 290 pages
...am proving that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, I am engaged in proving a proposition, that no prejudice, no passion,...
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Modern Mysteries Explained and Exposed: In Four Parts

Asa Mahan - Spiritualism - 1855 - 496 pages
...has here. Swedenborgianism, then, is as demonstrably false, as the proposition that the square •of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two sides, is demonstrably true, and we are no more liable to err, in affirming...
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The Resurrection of the Dead: A Vindication of the Liberal Resurrection of ...

Calvin Kingsley - Resurrection - 1855 - 162 pages
...which is equally distant from a common point? And when it is fairly demonstrated that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, can any subsequent progressive knowledge prove this theorem false...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...squares BG, C H. XLVII.— EUCLID I. 48. If the square described upon one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right angle. Let ABC (Fig. 37) be a triangle such that...
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An Elementary Treatise on Logic: Including Pt. I. Analysis of Formulae. Pt ...

William Dexter Wilson - Logic - 1856 - 464 pages
...one of the Methods of Proof. Thus, I may learn at tirstfrom actual measurement, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two other sides, and then prove it as a necessary and invariable property of all...
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An Elementary Treatise on Logic: Including Pt. I. Analysis of Formulae. Pt ...

William Dexter Wilson - Logic - 1856 - 456 pages
...one of the Methods of Proof. Thus, I may learn at first from actual measurement, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two other sides, and then prove it as a necessary and invariable property of all...
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The Complete Works of Thomas Dick, LL. D. ... Eleven Volumes in Two..., Volume 1

Thomas Dick - 1857 - 892 pages
...branches of mathematical and physical science. That " a whole is greater than any of its parts,"—that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...two circles are to each other as the squares of their radii, diameters or circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the...
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An Outline of the Necessary Laws of Thought: A Treatise on Pure and Applied ...

William Thomson - Logic - 1857 - 416 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice...
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The Science of Logic: Or, An Analysis of the Laws of Thought

Asa Mahan - Philosophy - 1857 - 400 pages
...propositions as the following? "Things equal to the same things are equal to one another," — " The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides," — "6+4=10," — "X=Z,"&c.? The whole science of logic has been constructed...
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