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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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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 605 páginas
...area, yz is = to 2x, or у = — , and the hypothenuse of the triz 2a; angle is expressed by a z. But the square of the hypothenuse is equal to the sum of the squares of the two sides ; .•. (2x \2 4z8 4яа; а zl=— 5- — z", or о2 2<zz = — 4ах. Mulüz...
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The Works of George Campbell: Philosophy of rhetoric

George Campbell - 1840
...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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Elements of Surveying, and Navigation, with a Description of the Instruments ...

Charles Davies - 1841 - 359 páginas
...round 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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Elements of Geometry

Adrien Marie Legendre - 1841 - 235 páginas
...others ; for the three figures will be proportional to the squares of their homologous sides ; now the square of the hypothenuse is equal to the sum of the squares of the two other sides ; therefore, &c. THEOREM. 223. The parts of two chords which cut each...
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A new treatise on mechanics, by the author of A new introduction to the ...

Joseph Denison - 1841 - 184 páginas
...circumference of the screw; but the triangle klm is a right-angled triangle ; and (by 1 Euclid, 47.) the square of the hypothenuse is equal to the sum of the squares of the base and perpen-dicular ; that is * 2 — A 2 + c 2 ; and extracting the square root...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1841 - 311 páginas
...triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 503 = 40*+ 30s. [Fig. 8.] 16. Hence, to find the different sides,...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - 1841 - 312 páginas
...and the side B, C, 12 feet. What is the length of the side A, B? a 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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A new treatise on mechanics, by the author of A new introduction to the ...

Joseph Denison - 1841 - 184 páginas
...circumference of the screw ; but the triangle klm is a right-angled triangle ; and (by 1 Euclid, 47.) the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular ; that is *' = A2 + c2 ; and extracting the square root of these...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1842 - 306 páginas
...triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 50" = 40" + 30!. [Fig. 8.] 16. Hence, to find the different sides,...
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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - 1843 - 240 páginas
...perpendicular 48 rods, how many acres ? Ans. 7a. 2r. 36 rods. 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 hypothenuse. RULE. Add...
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