 | John Playfair - 1806 - عدد الصفحات: 320
...ratio in Cf. Which was to be done. PROP. XXXI. THEOR. IN right angled triangles the rectilineal figure described upon %the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. a 8. 6. b4. 6. c... | |
 | Robert Simson - 1806 - عدد الصفحات: 546
...to be done. PROP. XXXI. THEOR. IN right angled triangles, the rectilineal figure des- See N cribed upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right... | |
 | Euclides - 1816 - عدد الصفحات: 588
...D*f. 6. *• PROP. XXXI. PROB. IN right angled triangles, the rectilineal figure de- see N. scribed upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...3. 6.). Which was to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figurt described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right... | |
 | Matthew Iley - 1820 - عدد الصفحات: 512
...are both rightangled. But Euclid, in the 47th proposition of his First Book, has demonstrated^that the square described upon the side opposite to the right angle, is, in every right-angled triangle, equal to the sum of the squares described upon the sides containing... | |
 | Euclid, John Playfair - 1826 - عدد الصفحات: 326
...Whieh was to be. done. ^ PROP. XXXI. THEOR. In right angled triangles, the reetilineal figure deSeribed upon the side opposite to the right angle, is equal to the similar, and similarly deseribed figures upon the sides eontaining the right angle. Let ABC be a right... | |
 | George Lees - 1826 - عدد الصفحات: 276
...triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent to the sum of the squares described upon the other two sides, the angle contained by these twq sides is a right angle. ELEMENTS OF GEOMETRY. BOOK II. DEFINITIONS.... | |
 | Robert Simson - 1827 - عدد الصفحات: 546
...done. * 3 Def. fiPROP. XXXI. THEOR. In right angled triangles, the rectilineal Jigure described See N. upon the side opposite to the right angle, is equal to the similar and similarly described Jigurcs upon the sides containing the right angle. Let ABC be a right... | |
 | Euclid, Robert Simson - 1829 - عدد الصفحات: 548
...def. 6.). Which was to be done. PROP. XXXI. THEOR. IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle.* Let ABC be a right... | |
 | Timothy Walker - 1829 - عدد الصفحات: 156
...polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. This is the celebrated proposition, with the discovery of which Pythagoras is said to have been so... | |
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IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle... 
