| Robert Simson - Trigonometry - 1827 - 546 pages
...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...described upon the sides which contain the right angle.** Let ABC be a right-angled triangle, having the right angle BAC : the square described upon the side... | |
| Freemasonry - 1827 - 72 pages
...without 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,... | |
| Industrial arts - 1832 - 528 pages
...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 - Freemasonry - 1829 - 488 pages
...and the pains he took to propagate his system, have justly transmitted his fame to posterity .f - * **THEOREM.] In any right-angled triangle, the square...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 pages
...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... | |
| Technology - 1832 - 504 pages
...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... | |
| Education - 1833 - 412 pages
...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 - Euclid's Elements - 1833 - 346 pages
...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... | |
| Euclid - 1835 - 540 pages
...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...described upon the sides which contain the right angle.** Let ABC be a right angled triangle having the right angle BAG ; the square described upon the side... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...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... | |
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