...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...

...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,...

...1838 9 to llj. First, Second, Third, and Fourth Classes. 1. IN right-angled triangles the rectilineal figure described upon the side opposite to the right...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...

...shall be parallel to the remaining side of the triangle. 10. In right angled triangles, the rectilineal figure described upon the side opposite to the right...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...

...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. LetABCbe a right-angled triangle having the angle BAC right...

...the point Q. 4. 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. •5. Determine the price of the 3 per cents, consols when...