| Euclid - 1835 - 513 sider
...to be done. PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure de- See N. scribed **upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle** BAG : The rectilineal figure described upon BC is equal to the similar, and similarly described figures... | |
| John Playfair - 1836 - 114 sider
...Which was to be done. PROP. XXVI. THEOR. In right angled triangles the rectilineal figure described **upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle** B AC ; the rectilineal figure described upon BC is equal to the similar and similarly described figures... | |
| 1836 - 335 sider
...a triangle to be equal to — 0 ? £ 17. 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.** 18. If a straight line be at right angles to a plane, every plane passing through it shall be at right... | |
| 1836 - 472 sider
...which is described on half the line. XXXI. 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.** XXXII. if two triangles, which have two sides of the one proportional to two sides of the other, be... | |
| John Playfair - 1837 - 318 sider
...C (def. 3. 6.). 146 PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal...be a right angled triangle, having the right angle** BAG : The rectilineal figure described upon BC is equal to the similar, and similarly described figures... | |
| Andrew Bell - 1837 - 240 sider
...(II. Def. 6). PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a** right-angled triangle, having the right angle BAG ; the rectilineal figure described upon BC is equal... | |
| Charles Reiner - 1837 - 215 sider
...is equal to the square hb + sq. b g. M.—Express fully, in words, the truth you have demonstrated. **upon the side opposite to the right angle, is equal to the** sum of the squares described upon the sides containing the right angle. ,^—If required to construct... | |
| Euclides - 1838
...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...angle BAC : the rectilineal figure described upon BC** shall be equal to the similar and similarly described figures upon BA, AC. iu.1 Draw the perpendicular^... | |
| Euclid, Robert Simson - 1838 - 416 sider
...Which was to be done. PROP. XXXI. THEOR. Iff 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.*** * See Note. Let ABC be a right angled triangle, having the right angle BAG ; the rectilineal figure... | |
| Euclides - 1840
...and . -jnean ratio. PROP. XXXI. THEOR. In a right-angled triangle, the rectilinear figure described **upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle.** PROP. XXXII. THEOR. If two triangles, having two sides of the one proportional to two sides of the... | |
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