| Euclides - 1865
...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,... | |
| James A. Christie - 1865
...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 - 317 sider
...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
...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 - 400 sider
...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 - 400 sider
...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 - 410 sider
...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 - 141 sider
...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 - 420 sider
...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.... | |
| Woolwich roy. military acad - 1868
...given circle. 13. 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. 14. A, B being the centres of two circles which touch internally... | |
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