 | Tobias Dantzig - 1955 - 200 sider
[ Beklager, innholdet på denne siden er tilgangsbegrenset. ] | |
 | Carl B. Boyer - 1991 - 740 sider
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 | 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... | |
 | Timothy John Smiley - 2000 - 184 sider
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 | 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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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. 
