 | 1867 - 878 σελίδες
...angle, ie, 90°, the space enclosed by a square constructed upon that side of the triangle opposite the right angle is equal to the sum of the two squares constructed upon tho other two sides respectively. Lot ABC (Fig. 5) bo a right-angled triangle, of... | |
 | John Playfair - 1806 - 320 σελίδες
...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 - 546 σελίδες
...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 - 588 σελίδες
...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 - 354 σελίδες
...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 - 512 σελίδες
...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 - 326 σελίδες
...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... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 - 548 σελίδες
...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... | |
 | Thomas Perronet Thompson - 1833 - 168 σελίδες
...angle. Let ABC be a triangle having the right angle BAG. The square described on the side BC which is opposite to the right angle, is equal to the sum of the squares described on the sides BA, AC, between which is the right angle. On BC describe* the square... | |
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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... 
