| Robert Simson - Trigonometry - 1806 - 546 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 described** upon the other two sides of it ; the angle contained by these two sides is a right angle. Book I. If... | |
| 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 squares described** upon the other two sides of it, the angle contained by these two sides is a right angle. If the square... | |
| John Mason Good - 1813 - 714 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 described** upon the other two sides of it; the angle contained by these two sides is a right angle. Book II. Def.... | |
| Euclides - 1816 - 588 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 described** upon the other two sides of it ; the angle contained by these t\\o sides is a right angle. Boo* I.... | |
| John Playfair - 1819 - 354 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 described** upon the other two sides of it ; the angle' con.tained by these two sidef is a right angle. i If the... | |
| Peter Nicholson - Mathematics - 1825 - 1046 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... | |
| 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... | |
| Euclid - 1826 - 234 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 by these two remaining... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...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.... | |
| Robert Simson - Trigonometry - 1827 - 546 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 described** upon the other two sides of it ; the angle contained by these two sides is a right angle. Let the square... | |
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