 | Euclid, John Playfair - 1826 - 326 pagina’s
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed upon the side subtending the right angle, is equal to the squares deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the... | |
 | Robert Simson - 1827 - 546 pagina’s
...every parallelogram that has one right angle, has all its angles right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is...be a right-angled triangle, having the right angle BAC : the square described upon the side BC shall be equal to the squares described upon BA, AC. On... | |
 | 1827 - 72 pagina’s
...perverting or destroying those systems. By the influence of this art, the purposes of the in* THEOREM.) In any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle. Euclid,... | |
 | 1832 - 522 pagina’s
...diusion of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse of any rightangled triangle be the diameter... | |
 | William Preston - 1829 - 488 pagina’s
...pains he took to propagate his system, have justly transmitted his fame to posterity .f - * THEOREM.] In any right-angled triangle, the square which is...upon the side subtending the right angle, is equal io the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. The... | |
 | University of Cambridge - 1830 - 554 pagina’s
...Corpus. FRIDAY MORNING, Jamutry 15, 1830. 9 o'clock, to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is...the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal... | |
 | 1832 - 504 pagina’s
...division of the Sept. Syst. I may be permitted to refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse of any rightangled triangle be the diameter... | |
 | 1833 - 412 pagina’s
...straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained... | |
 | John Playfair - 1833 - 346 pagina’s
...parallelogram that has one right angle has all its angles right angles. PROP. XLV1I. THEOR. In any right angled triangle, the square which is described upon the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be... | |
 | Euclides - 1834 - 518 pagina’s
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. to the tquarct described upon the sides which contain the right angle....be a right-angled triangle, having the right angle BAC : the square described upon the side BC, shall be equal to the squares described upon BA, AC. On... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
