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" The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. "
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... - Página 23
por Abel Flint - 1804 - 168 páginas
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A Course of Mathematics: For the Use of Academies as Well as ..., Volumen1

Charles Hutton - 1831 - 632 páginas
...AB, AC, is equal to the rectangle under their вит and difference, a. E. ». THEOREM xxxiv. IK any right angled triangle, the square of the hypothenuse, is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle с ; then...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - 1831 - 394 páginas
...the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. I.) If the legs be given, extracting the square root...
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Encyclopædia Americana: A Popular Dictionary of Arts, Sciences ..., Volumen10

Francis Lieber, Edward Wigglesworth - 1832 - 656 páginas
...important : The three angles of a triangle are together equal to two right angles ; and in aright-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This lust is still called the Pythagorean theorem (also magiater nuithtseos),...
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Encyclopaedia Americana: A Popular Dictionary of Arts, Sciences ..., Volumen10

Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford - 1832 - 708 páginas
...important : The three angles of a triangle are together equal to two right angles ; and in a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This last is still called the Pythagorean theorem- (also master matheseos),...
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Elements of Plane Trigonometry

William Smyth - 1834 - 94 páginas
...third. This case, however, may be solved by means of the known property of a right angled triangle, viz. the square of the hypothenuse is equal to the sum of the squares of the two sides. It may moreover be resolved with facility by means of the two propositions...
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - 1835 - 366 páginas
...the nearest corresponding number of degrees and minutes will be found to be 53° 8', the angle ACB. BY THE SQUARE ROOT. In this CASE the required leg...SQUARE OF THE HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF THE TWO LEGS. HENCE, THE SQUARE OF THE GIVEN LEG BEING SUBTRACTED FROM THE SQUARE OF THE...
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New Monthly Magazine, and Universal Register, Volumen45

Thomas Campbell, Samuel Carter Hall, Edward Bulwer Lytton Baron Lytton, Theodore Edward Hook, Thomas Hood, William Harrison Ainsworth, William Ainsworth - 1835 - 570 páginas
...that the three angles of a triangle are equal to two right angles ; and also, that in any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. In like manner did this ingenious gentleman demonstrate, that it was...
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Key to Professor Young's Algebra

W. H. Spiller - 1835 - 210 páginas
...root, . 2x + 15 = ± 21 ; ,., = ! = , Ex 22. Here, we will suppose the hypothenuse to be x ; then, as the square of the hypothenuse is equal to the sum of the squares of the sides in a right-angled triangle, we shall have or *s = 2r!— 18* +45; transpo. and...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 páginas
...found by the first two theorems ; or if two of the sides are given, by means of the property, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - 1837 - 266 páginas
...side fuund? 3. Kule for finding the hypothenuse, having the other two sides given ? Base. 9 2 AC=9=81 In every right angled triangle, the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the...
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