 | Euclides - 1821 - 294 páginas
...side is the same.. For it is the O2 of the perpendicular. ,. • PROP. 48. TIIEOR. Jf the square of one side of a triangle be equal to the sum of the squares of the other troo sides, the angle opposite to that side is a right angle. From the vertex of this... | |
 | Pierce Morton - 1830 - 584 páginas
...to the turn of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by these two sides shall be a right angle. Let AB С be... | |
 | Thomas Perronet Thompson - 1833 - 168 páginas
...was to be demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal to the sum of the squares described on the other two sides of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
 | 1835 - 684 páginas
...to the sum of the squares of the sides which contain that angle : and conversely, if the square of one side of a triangle be equal to the sum of the squares of the other two sides, the angle contained by those two sides shall be a right angle. Let ABC be a... | |
 | Euclides - 1837 - 112 páginas
...(as in Simpson,) which only makes the figure unnecessarily complicated. PROPOSITION XLVIII. Theorem. If the square described on one side of a triangle be equal to the squares described upon the other two ; the angle contained by these two sides is a right angle. T>... | |
 | Adrien Marie Legendre - 1838 - 372 páginas
...PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. • Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall... | |
 | Charles Davies - 1840 - 262 páginas
...degrees, and 4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB... | |
 | Scotland free church, gen. assembly - 1847 - 554 páginas
...straight lines, it makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal to the sum of the squares described on the other two sides, these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained... | |
 | Nicholas Tillinghast - 1844 - 110 páginas
...PROP. VII. THEOREM. The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle be Fig. 64. KDI, right angled at I. Describe squares on KD, KI, DI ; then we have... | |
 | James Bates Thomson - 1844 - 268 páginas
...BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse of a right-angled triangle, is equivalent to the sum of the squares described on the other two sides. Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent... | |
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If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. 
