 | Euclides - 1865 - 402 pagina’s
...line in extreme and mean ratio. Prop 31. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle. Prop. 32. If two triangles which have two sides of the one proportional to two sides of the other,... | |
 | Robert Potts - 1865 - 528 pagina’s
...PROPOSITION XXXI. THEOREM. ln r ir/ht -angled triangles, the rectilineal figure described upon the xt'de opposite to the right angle, is equal to the similar...figures upon the sides containing the right angle. Lot ABC'ho a right-angled triangle, having the right angle HA C. The rectilineal figure described upon... | |
 | James A. Christie - 1865 - 454 pagina’s
...Diam.2 -=- -7854 THE EIGHT-ANGLED TRIANGLE. 4 " In any right-angled triangle, the square described upon the side opposite to the right angle is equal to the sum of the two squares described upon the sides containing the right angle." Euclid. Book I. Prop.... | |
 | John Playfair - 1855 - 350 pagina’s
...19PROP. XXXI. THEOR. I'M right angled triangles, the rectilineal figure described upon the side oppt file to the right angle, is equal to the similar, and similarly...right angled triangle, having the right angle BAC : Th« rectilineal figure described upon BC is equal to the similar, and similarly described figures... | |
 | General Medical Council (Great Britain) - 1866 - 496 pagina’s
...to a given rectilineal figure. 4. In right-angled triangles, the rectilineal figure described iipon the side opposite to the right angle is equal to the...figures upon the sides containing the right angle. 5. Demonstrate the rule by means of which the sine of the sum of two angles is expressed in terms of... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...31. THEOREM. In any right-angled triangle, any rectilineal fig are described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...31. THEOREM. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle... | |
 | Robert Potts - 1868 - 434 pagina’s
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In rigIit-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...upon the sides containing the right angle, Let ABC \>ea right-angled triangle, having the right angle BAC. The rectilineal figure described upon BC shall... | |
 | Euclid - 1868 - 138 pagina’s
...Ó/ÍOÍOIE TÍ Kai ó/toiftig U1'ity(i«I/iO/iíí'oii;. In right-angled triangles the figure described upon the side opposite to the right angle is equal to the similar and similarly described fyures upon the sides containing the right angle. Statement. — Let ABC be a right-angled triangle,... | |
 | Eli Todd Tappan - 1868 - 444 pagina’s
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and AC.... | |
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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. 
