| Robert Simson - Trigonometry - 1806 - 518 pages
...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 the square described upon... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...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 described upon BC, one... | |
| John Mason Good - 1813 - 722 pages
...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. I .—-Every right angled... | |
| Euclides - 1816 - 528 pages
...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. If the square described upon... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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 described upon the other two sides** of it ; the angle contained by these two sides is a right angle. If the square described upon BC, one... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...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 described upon BC,... | |
| George Darley - Geometry - 1828 - 190 pages
...calculations ; which calculations, however, depend on the principles of Geometry and Trigonometry. AHT. 132. " **If the square described upon one side of a triangle be equal to the squares described** on the other sides of the triangle, taken together, the angle opposite to thejirstmentioned side is... | |
| Euclides - 1833 - 304 pages
...perpendicular. PROP. 48. THEOR. If the square of one side of a triangle be equal to the sum of the squares of **the other two sides, the angle opposite to that side is a right angle.** From the vertex of this angle, raise a perpendicular to either of the sides containing it, and = to... | |
| Euclid - 1835 - 540 pages
...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. f*. l. g 41. 1. h 6. Ax. If the square... | |
| George Darley - Euclid's Elements - 1836 - 172 pages
...there will remain the complement EGDI ;— hence, these remaining complements are equal. ART. 182. **If the square described upon one side of a triangle be equal to the squares described** on the other sides of the triangle, taken together, the angle opposite to the first-mentioned side... | |
| |