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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. "
Elements of Geometry: And the First Principles of Modern Geometry - Page 75
by William Henry Harrison Phillips - 1878 - 209 pages
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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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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...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 Complete Works of Thomas Dick, LL. D. ... Eleven Volumes in Two..., Volume 1

Thomas Dick - 1857 - 892 pages
...Square Root; but no figure or explanation is given, excepting the following foot-note. " The square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as on page 92. In a similar manner should...
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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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The Mathematical Monthly, Volume 1

John Daniel Runkle - Mathematics - 1859 - 478 pages
...BT JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal to the sum of the squares described on the other two sides. Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two...
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The Mathematical Monthly, Volume 1

John Daniel Runkle - Mathematics - 1859 - 460 pages
...DEMONSTRATION OF THE PYTHAGOREAN PROPOSITION. ВТ .1ЛМ1.Ч EDWAKD OLIVES. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other ¿wo sides. Drop a perpendicular from the right angle to the hypothenuse,...
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Elements of the Philosophy of the Human Mind

Dugald Stewart - Psychology - 1859 - 508 pages
...ease and instantaneousness of operation. Take the geometrical theorem, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides ; it is proved by a series of propositions, the connection of each...
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The Pasha papers, epistles of Mohammed Pasha, tr. into Anglo-Amerian [really ...

William Wirt Howe - 1859 - 324 pages
...confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented...
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An Outline of the Necessary Laws of Thought: A Treatise on Pure and Applied ...

William Thomson - Logic - 1859 - 370 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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