| Euclid - 1835 - 513 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled **triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a** right angled triangle having the right angle BAG ; the square described upon the side BC is equal to... | |
| John Playfair - 1835 - 316 pagina’s
...remaining complement BK is equal to the remaining complement KD. PROP. XXXVII. THEOR. In any right angled **triangle, the square which is described upon the side subtending the right angle, is** equivalent to the squares described upon the sides which contain the right angle. Let ABC be a right... | |
| 1835
...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 right-angled triangle, having the right angle,** В AC : the square of В С shall be equal to the sum of the squares of В A, AC. Upon В С, В A,... | |
| 1836 - 472 pagina’s
...which are about the diameter of any parallelogram, are equal to one another. XLVII. In any right angled **triangle, the square which is described upon the side...described upon the sides which contain the right angle.** XLVIII. If the square described upon one of the sides of a triangle, be equal to the squares described... | |
| John Playfair - 1836 - 114 pagina’s
...square upon the side BC,. is equal to the squares upon the sides AB, AC. Therefore, in any right angled **triangle, the square which is described upon the side...described upon the sides which contain the right angle.** Which was to be proved. PROP. XVIIL THEOR. If the square described upon one of the sides of a triangle... | |
| John Playfair - 1837 - 318 pagina’s
...that has one right angle has all its angles right angles. ', PROP. XLVII. THEOR. In any right angled **triangle, the square which is described upon the side...sides which contain the right angle. . ( Let ABC be a** right angled triangle having the right angle BAG ; the square described upon the side BC is equal to... | |
| Edward Tagart - 1837 - 135 pagina’s
...of the term straight, the less likely they were to enclose a space. If I were asked how I know that **in any rightangled triangle the square which is described...described upon the sides which contain the right angle,** my first answer might be, that I knew it by studying the 47th of the first book of Euclid. But the... | |
| Euclid - 1837 - 390 pagina’s
...I. THEOR. IN any right-angled triangle, the square which is described upon the hypotenuse, that is, **the side subtending the right angle, is equal to the...be a right-angled triangle, having the right angle** BAC; the square described upon the hypotenuse BC is equal to the squares described upon ISA, AC. On... | |
| Euclides - 1837 - 88 pagina’s
...ADE = 2 right Zs, 5. that the fig. is rectangular (and :. a square.) PROPOSITION XLVII. ii Theorem. **In any right-angled triangle, the square which is...described upon the sides which contain the right angle.** In the construction of the figure it is necessary to show that GA is on the same right line with AC... | |
| Andrew Bell - 1837 - 240 pagina’s
...the right angle, is equal to the similar and similarly described figures upon the sides containing **the right angle. Let ABC be a right-angled triangle, having the right angle BAG ; the** rectilineal figure described upon BC is equal to the similar and similarly described figures upon BA,... | |
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