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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
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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,...
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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....
Visualizzazione completa - Informazioni su questo libro 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...
Visualizzazione completa - Informazioni su questo libro 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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