| Euclid, John Playfair - 1826 - 320 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 - 513 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
...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
...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 - 456 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
...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
...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
...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 - 333 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
...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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