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... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 18
por William Findlay Shunk - 1880 - 318 páginas
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## Encyclopædia Americana: A Popular Dictionary of Arts, Sciences ..., Volumen10

...The three angles of a triangle ore 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 last is still called the Pythagorean theorem (also magister matheteos),...
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## Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1834 - 427 páginas
...the rule to the respective case under which any specified example falls : and it will then be found, since a right angle is always one of the data, that...are given, the third may be found by means of the property in Plane Geom. Triangles, prop. 16. Hypoth. = v/(base' + perp.') Base= v/(hyp.a — perp.2)=...
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## Mathematics for Practical Men: Being a Common-place Book of ... Pure and ...

Olinthus Gregory - 1834 - 427 páginas
...the rule to the respective case under which any specified example falls : and it will then be found, since a right angle is always one of the data, that...becomes simplified in its application. 2. When two of th&.sides are given, the third may be found by means of the property in Plane Geom. Triangles, prop....
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## Elements of Plane Trigonometry

William Smyth - 1834 - 72 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 - 334 páginas
...without finding the angles ; according to the following PROPOSITION ; IN EVERY RIGHT ANGLED TRIANGLE, THE 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, Volumen45

...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 - 196 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 - 359 páginas
...may be 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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## Elements of Surveying: Including a Description of the Instruments and the ...

1837 - 249 páginas
...found by either of the four last cases : 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. Or the parts may be found by Theorem V. EXAMPLES. 1. In a right-angled...
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## Mechanics of Fluids for Practical Men: Comprising Hydrostatics, Descriptive ...

Alexander Jamieson - 1837 - 472 páginas
...the sides DH and CE ; that is, tf=\(xy). Consequently, by the property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, we shall have (i,y =*• + «*—y)'; and by extracting the...
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