 | Robert Simson - Trigonometry - 1806 - 546 pages
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. IF the square described upon one of the sides of a...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 - Mathematics - 1806 - 320 pages
...upon the sides BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. Book I. IF the square described upon one of the sides of a...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 - 554 pages
...the sides ISA, AC. Therefore, 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...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 - 714 pages
...is equal to the squares described upon the sides which contain the right angle. Prop. XLV1II. Theor. If the square described upon one of the sides of a...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 - 588 pages
...squares upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XL VIII. THEOR. Ir the square described upon one of the sides of a triangle,...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 *"""... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. // the square described upon one of the sides of a triangle,...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 - 354 pages
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. Q, ED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...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 - 800 pages
...is equal to the squares described upon the sides which contain the right angle. Prop. XLVIII. Theor. If the square described upon one of the sides of a...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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...BA, AC. Therefore, in any right angled triangle, &c. QED ', » • PROP. XL VIII. THEOR, i ; i • IP the square described upon one of the sides of a triangle...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...EUCLID. the sides BA, AC. 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... | |
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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; the angle contained by these two sides is a right angle. 
