 | Andrew Bell - 1837 - 290 sider
...section (II. Def. 6). PROPOSITION XXXI. THEOREM. 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-angled... | |
 | Benjamin Peirce - 1837 - 216 sider
...parallel. 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Demonstration. Let squares be constructed upon the three sides of the right triangle ABC (fig. 130),... | |
 | Robert Simson - 1838 - 434 sider
...def. 6.). 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 to the similar and similarly described figures upon the sides containing the right angle.* * See Note. Let... | |
 | Euclides - 1838 - 264 sider
...proportion in C.* 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... | |
 | Euclides - 1840 - 82 sider
...in extreme 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 to the similar and similarly described figures upon the sides containing the right angle. PROP. XXXII. THEOR.... | |
 | Euclides - 1841 - 378 sider
...ratio in C.* 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-angled... | |
 | John Playfair - 1842 - 332 sider
...mean ratio in C (def. 3. 6.). 19 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... | |
 | Euclid - 1845 - 218 sider
...Which was to be done. PROPOSITION XXXI. THEOB. — 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. Draw the perpendicular... | |
 | Euclides - 1845 - 546 sider
...in C. (vi. def. 3.) QEfPROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal Jigure described upon the side opposite to the right angle, is equal to the similar and similarly described fgures upon the sides containing the right angle. Let ABC be a right-angled... | |
 | Great Britain. Council on Education - 1845 - 696 sider
...but shall contain a greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into... | |
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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... 
