| John Playfair - Euclid's Elements - 1806 - 320 pages
...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 triangle be •...the other two sides of it, the angle contained by** these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...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 triangle be equal...the other two sides of it ; the angle contained by** these two sides is a right angle. Book I. If the square described upon BC, one of the sides of the... | |
| John Mason Good - 1813 - 722 pages
...squares 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...the other two sides of it; the angle contained by** these two sides is a right angle. Book II. Def. I .—-Every right angled parallelogram Is said to... | |
| Euclides - 1816 - 528 pages
...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, be...the 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
...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, be...the other two sides of it ; the angle contained by** these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
| John Mason Good - 1819 - 740 pages
...squares 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...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
...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... | |
| Euclid - 1826 - 236 pages
...applicable in 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 by these two remaining... | |
| Euclides - 1826 - 226 pages
...applicable in 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... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...BA, AC. Therefore, in any right angled triangle, &.<:-f PROP. XLVIII. THEOR. If the square deseribed **upon one of the sides of a triangle, be equal to the squares** deseribed upon the other two sides of it ; the angle eontained by these two sides is a right angle.... | |
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