 | Euclides - 1865 - 402 pages
...similar rectilineal figures be similarly described on the sides of a right-angled triangle, the figure described on the side subtending the right angle is equal to the sum of the figures on the other side . . . ... . . . VI. 31. D. Relating to the Comparison of Parallelograms with... | |
 | Richard Townsend - Geometry, Modern - 1865 - 428 pages
...ZA.ZB, = (prF)2, and therefore &c. (225). COR. 1°. Since, in a right-angled triangle, the square of the side subtending the right angle is equal to the sum of the squares of the sides containing the right angle, and, conversely, (Euc. I. 47, 48), it appears immediately,... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...if we measure Aa = Bb = Cc = Dd, the figure a I cd will be a parallelogram. 6. In any right angled triangle, the square which is described on the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. If one of the acute angles of a right... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...that every parallelogram which has one right angle has all its angles right angles. PEOPOSITION 47. THEOREM. In any right-angled triangle, the square...the side subtending the right angle is equal to the squares described on the sides which contain the right H Let ABC be a right-angled triangle, having... | |
 | 1867 - 224 pages
...same side ; and also the two interior angles on the same side together equal to two right angles. 7. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. [Turn over. 8. Divide a given straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...its angles right angles. H PROPOSITION 47. THEOREM. In any right-angled triangle, ihe square which it described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right-angled triangle, having... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...C' = the square on AB— square on BC. These forms of the theorem are often employed. THEOREM XII. In any right-angled triangle, the square which is...the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 1) L Let ABC be a right-angled triangle,... | |
 | Woolwich roy. military acad - 1868 - 426 pages
...12. To inscribe a square in a given circle. 13. 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. 14. A, B being the... | |
 | Euclides - 1871 - 136 pages
...Ex. 2 and 3 are assumed by Euclid in the proof of Prop. XLVIIi. See also Prop. A. of Book II., p. 77. In any right-angled triangle the square which is described...the side subtending the right angle is equal to the tquares described on the sidef which contain the right angle. Let ABC be a right-angled A , having... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...upon the three sides of a right-angled triangle, the square which is described upon the hypotenuse (or side subtending the right angle) is equal to the sum of the squares described on the sides which contain the right angle. For the construction employed in this... | |
| |
In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. 
