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Libri Libri 31 - 40 di 173 su 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. "
History of Rome [by H. Malden]. - Pagina 35
di Henry Malden - 1830
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884
...which shall be equal to a given straight line." 9. Give the proposition equivalent to : " The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares upon the other two sides." 10. In the construction to XLVIII., show that it would be unsatisfactory...
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The New Physics: A Manual of Experimental Study for High Schools and ...

John Trowbridge - 1884 - 367 pagine
...the philosophical proofs. Thus we can by actual measurement ascertain the truth that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the base and altitude of the triangle, and, knowing this fact, we can make a great and...
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The Practical Teacher, Volume 3

1884
...is 8,545 feet ; determine whether the parallelogram is a rectangle. By Euclid I. 47, the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Here the diagonal corresponds with the hypotenuse. Now 75842 + 3937* = 73.i7.25,...
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Practical Arithmetic: By Induction and Analysis

Joseph Ray - 1885 - 336 pagine
...the perpendicular, BI and AC 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 square root? NOTES. How proceed...
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson - 1888
...by the use of the two following principles, which are demonstrated in geometry. 1st. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of...
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Practical Surveying: A Text-book for Students Preparing for Examinations Or ...

George William Usill - 1889 - 272 pagine
...define all the angles. Now the relations of trigonometrical ratios to one another (since the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two sides) are as follows : — Since a1 + b' — c\ .. .... . , a2 62 c2 , dividing...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 pagine
...sides parallel and equal to BH. (Pappus extension of\. 47.) 64. The area of the equilateral triangle on the hypotenuse of a right-angled triangle is equal to the sum of the areas of the equilateral triangles on its sides. A NOTE— Let APB, BQC, CRA be the As, BAG being...
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Practical Plane & Solid Geometry

I. Hammond Morris - 1890 - 260 pagine
...triangle. (Eue. i. 41.) ABСD = twiceABС. (Fig. 6.) E FG H = twice EF J. (Fig. 7.) 7. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. (Eue. i. 47.) The sq. CBDE = thesq. ABFG + the sq. AH JC. (Fig....
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A new theory of parallels

Lewis Carroll - 1890
...centuries, affect the clearness, or the charm, of Geometrical truths. Such a theorem as ' the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides ' is as dazzlingly beautiful now as it was in the day when Pythagoras first...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pagine
...Euclide in Elementorum libro VI. allatam' (1668) : — Ex. 740. — The equilateral triangle described on the hypotenuse of a right-angled triangle is equal to the sum of the equilateral triangles described upon the other two sides. Let BLC, CM A, ANB be the equilateral...
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