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Βιβλία Βιβλία 11 - 20 από 173 για Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled....
" Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. "
Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ... - Σελίδα 237
των Thomas Rainey - 1849 - 312 σελίδες
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Popular Lectures on Science and Art: Delivered in the Principal ..., Τόμος 1

Dionysius Lardner - 1846
...very extensive, is evident from the ecstasy into which Pythagoras was thrown when he discovered that the square of the hypotenuse of a right-angled triangle is equal to the square of the two sides : for ignorance of this very elementary, but important proposition, necessarily...

An introductory treatise on mensuration, in theory and practice

John Radford Young - 1850
...triangle, from knowing the third side. It is proved in the 47th Prop, of Enclid's first book, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and perpendicular; and consequently that the square of one of these latter...

The Works of thomas dick, LL.D

1850
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—" that the three angles of a triangle are equal to two right...

On the improvement of society by the diffusion of knowledge. The philosophy ...

Thomas Dick - 1850
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—" that the three angles of a triangle are equal to two right...

The Bibliotheca Sacra and American Biblical Repository, Τόμος 14

1857
...; just as, in the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the Utilitarian...

A MANUAL OF GREEK LITERATURE

CHARLES ANTHON - 1853
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there can be little...

A Manual of Greek Literature: From the Earliest Authentic Periods to the ...

Charles Anthon - 1853 - 580 σελίδες
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there can be little...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 336 σελίδες
...being tho base, BC the perpendicular, and A 0 the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is the rule for sqnaro root? NOTES. Flow...

The Complete Works

Thomas Dick - 1857
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—•" that the three angles of a triangle are equal to two right...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...from those by a series of which, did he know the previous propositions, he might be convinced that the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the sides." — On the Studies and Difficulties of Mathematics, p. 76. SECTION V. THE...




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