| 1897
...5. Shew that, 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. 6. From the foot of a tower the angle of elevation of the... | |
| 1897
...BATEMAN, District Inspector. 1. In a right-angled triangle, prove that the regular pentagon described **upon the side opposite to the right angle is equal to the** sum of the regular pentagons described upon the sides containing the right angle. 20 marks. 2 Prove... | |
| Macmillan & Co - 1901 - 776 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 ABO be a triangle, right-angled at A : the rectilineal... | |
| Euclid - 1908
...likely to give it alone. PROPOSITION 31. In right-angled triangles the figure on the side subtending **the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. Lety^Cbe a right-angled triangle having the angle BAC right... | |
| Morris Kline - 1990 - 434 sider
...study Apollonius' work. Proposition 31. In right.angled triangles, the figure on the side subtending **the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. This is a generalization of the Pythagorean theorem. 7. Books... | |
| Michael N. Fried - 2001 - 516 sider
...Elem.lAl taken together with firo.VI.31 (that "In right-angled triangles the figure on the side subtending **the right angle is equal to the similar and similarly described figures** on the sides containing the right angle") are important since they show how a single figure can be... | |
| Craig Smorynski - 2007 - 273 sider
...Pythagorean Theorem in Proposition 31: In right-angled triangles the figure on the side subtending **the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. The proof of this is not easy to follow because Euclid offers... | |
| Eli Maor - 2007 - 296 sider
...on similarity. Proposition VI 3 1 says, In right-angled triangles the figure on the side subtending **the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. This is an almost verbatim repetition of Proposition I 47,... | |
| University of Cambridge - 1838 - 496 sider
...First, Second, Third, and Fourth Classes. 1. 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,** 2. How are the inclinations of one plane to another and of a straight line to a plane measured'? If... | |
| Great Britain. Parliament. House of Commons - 1863 - 616 sider
...the remaining side of the triangle. 10. 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.** 11. If the four sides of a trapezium be bisected, the lines joining the points of bisection shall form... | |
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