 | Roswell Chamberlain Smith - Arithmetic - 1841 - 324 pages
...PERPENDICULAR. In other 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,... | |
 | Charles Davies - Navigation - 1835 - 388 pages
...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... | |
 | Joseph Denison - Mechanics - 1841 - 210 pages
...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... | |
 | Joseph Denison - Mechanics - 1841 - 210 pages
...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... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...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... | |
 | Roswell Chamberlain Smith - Arithmetic - 1842 - 320 pages
...PERPENDICULAR. In other 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,... | |
 | Nathan Daboll - Arithmetic - 1843 - 254 pages
...and 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... | |
 | William Carus Wilson - 1848 - 978 pages
...the heart, the circulation of the blood, and the process of respira10. Prove that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the sides. 11 Prove that if two straight lines intersect one another in a circle, the rectangles... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...ABFG. Consequently CDML -f LMEA = square ACED = square AFGB -j- BCKH. That is, in every right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides. This is called the proposition of Pythagoras, because he first discovered... | |
 | English literature - 1846 - 614 pages
...Humeist did not really doubt that Caesar once lived in Rome — that the sun will rise to-morrow — that 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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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
