| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| William Carus Wilson - 1848
...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... | |
| 1846
...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... | |
| Anna Cabot Lowell - 1846 - 161 páginas
...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... | |
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