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Βιβλία Βιβλία 61 - 70 από 190 για The square described on the hypothenuse of a rightangled triangle is equal to the....
" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 369
των James Bates Thomson - 1847 - 422 σελίδες
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Modern Mysteries Explained and Exposed: In Four Parts . .

Asa Mahan - 1855 - 466 σελίδες
...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...

An elementary treatise on logic: including pt. I. Analysis of formulae. pt ...

William Dexter Wilson - 1856 - 425 σελίδες
...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...

AN ELEMENTARY TREATISE ON LOGIC

W. D. WILSON - 1856
...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...

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 355 σελίδες
...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...

An Outline of the Necessary Laws of Thought: A Treatise on Pure and Applied ...

William Thomson - 1857 - 388 σελίδες
...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...

The Science of Logic: Or, An Analysis of the Laws of Thought

Asa Mahan - 1857 - 387 σελίδες
...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...

Practical arithmetic: uniting the inductive with the synthetic mode of ...

James Bates Thomson - 1858 - 384 σελίδες
...other two sirtes called? 356. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre's Оеош. В. IV. 11.) OBS. The truth of this proposition may be seen from the following...

Philosophy of The Human Mind

Dugald Stewart - 1859
...intuition, which implies 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...

The Mathematical Monthly, Τόμος 1

John Daniel Runkle - 1859
...n is infinitely great 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,...

The Mathematical Monthly, Τόμος 1

John Daniel Runkle - 1859
...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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