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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 - 1890 - 339 páginas
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The Living Age ..., Volumen10

1846
...Uumeist did not really doubt that Ceesar once Uted in Rome — that the sun will rise to-morrow — thit the square of the hypothenuse is equal to the sum of the squares of the opposite sides. In all these matters man is satisfied to act upon the knowledge arising...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - 1847 - 282 páginas
...Irregular figure divide it into triangles. A In any right-angled triangle, it has been ascertained, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Thus, in the adjacent figure, 40« = 1600, andSO2 = 900 ; then,-/ 900+1600...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 páginas
...3) = 12 X 6 = 9" — 3" = 81 — 9 = 72. E2 PROPOSITION VIII. THEOREM. In 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 C ; then...
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Elementary Course of Geometry ...

Charles William Hackley - 1847 - 103 páginas
...divides the parallelogram AF, and ABCD is the half of it. QED THEOREM XXVI. In 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 A ; then...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - 1848 - 153 páginas
...given, 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. 1.) If the legs be given, extracting the square root...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 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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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 342 páginas
...opposite the right angle is called the hypothenuse. It is an establisJied proposition of geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,...
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The Philosophy of Rhetoric

George Campbell - 1849 - 455 páginas
...instance, of the first kind, the following affirmations : " The cube of two is the half of sixteen." " The square of the hypothenuse is equal to the sum of the squares of the sides." " If equal things be taken from equal things, the remainders will be equal."...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1849 - 324 páginas
...hypothenuse, and the angle at ' B is a right angle. Base. ART. 373. In every right angled triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining...
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Daboll's Complete Schoolmaster's Assistant: Being a Plain Comprehensive ...

Nathan Daboll, David Austin Daboll - 1849 - 249 páginas
...perpendicular 48 rods, how many acres ? Ans. 7a. 2r. 36 roife. ART. 2. — In .every right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. 1. Hence, when the legs are given, to find the ttypothenuse. RULE....
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