| Robert Simson - Trigonometry - 1806 - 518 pages
...Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. IF the square described upon **one of the sides of a triangle be equal to the squares...angle contained by these two sides is a right angle.** Book I. If the square described upon BC, one of the sides of the tri*• „••< angle ABC, be equal... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. Book I. IF the square described upon **one of the sides of a triangle be • equal to the...angle contained by these two sides is a right angle.** If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
| Euclid - Geometry - 1810 - 518 pages
...in any right angled triangle, &c. Q. E* D. e 2 Ax PROP. XLVIII. THEOR. IF the square described upon **one of the sides of a triangle be equal to the squares...other two sides of it ; the angle contained by these** :wo sides is a right angle. G Book I. If the square described upon BC, one of the sides of the tri>... | |
| John Mason Good - 1813 - 722 pages
...described upon the sides which contain the right angle. Prop. XLV1II. Theor. If the square described upon **one of the sides of a triangle, be equal to the squares...angle contained by these two sides is a right angle.** Book II. Def. I .—-Every right angled parallelogram Is said to be contained by any two of the straight... | |
| Euclides - 1816 - 528 pages
...Therefore, in any right-angled triangle, &c. QED PROP. XL VIII. THEOR. Ir the square described upon **one of the sides of a triangle, be equal to the squares...other two sides of it ; the angle contained by these** t\\o sides is a right angle. Boo* I. If the square described upon BC, one of the sides of the *"""... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. // the square described upon **one of the sides of a triangle, be equal to the squares...angle contained by these two sides is a right angle.** If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
| John Playfair - 1819 - 317 pages
...Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. If the square described upon **one of the sides of a triangle, be equal to the squares...two sides of it ; the angle' con.tained by these two** sidef is a right angle. i If the square described upon BC, one of the sides of the triangle ABC, be... | |
| John Mason Good - 1819 - 740 pages
...described upon the sides which contain the right angle. Prop. XLVIII. Theor. If the square described upon **one of the sides of a triangle, be equal to the squares described upon the other two sides of it** j the angle contained by these two «ides is a right angle. Book II. Def. 1. — Every right angled... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...Therefore, in any right-angled triangle, Sec. QED Proposition XLV1II. Theorem. If the square described upon **one of the sides of a triangle, be equal to the squares described upon the** oiher two sides of it, the angle contained by these two sides is a right angle. If the square described... | |
| Euclides - 1826 - 226 pages
...every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon **one of the sides of a triangle be equal to the squares** which are described on the other two sides, then shall the angle which is contained .:.:. • ty these... | |
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