 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 pàgines
...or external, of the vertical angle 1 4. 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. .5. How is the inclination of two planes measured? What conditions completely determine a plane 1 6.... | |
 | 1897 - 154 pàgines
...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 - 534 pàgines
...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 - 802 pàgines
...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 - 456 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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 pàgines
...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... | |
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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. 
