 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagina’s
...rectangle contained by either of the equal sides, and the projection of the base upon that side. 18. The square on the hypotenuse of a right-angled triangle...together with the square on the difference of the two sides. 19. Produce a given straight line, so that the square on the whole line thus produced shall... | |
 | James Frederick Ferrier - 1875 - 532 pagina’s
...This, therefore, is not a truth valid at all times for all intelligence. Take another case. I say, The square on the hypotenuse of a right-angled triangle is equal to the squares on the other two sides ; or, to take a simpler case, I say that two straight lines cannot... | |
 | Robert Potts - 1876 - 446 pagina’s
...triangle, so that the reclangel under it and the produced part may be equal to the difference of tna squares on the other two sides. 29. Given the base...upon the side BC; then the square on AC together with therectangle contained by ISC, ED is equal to the square on AB together with the rectangle CB, CD.... | |
 | Euclides - 1884 - 434 pagina’s
...opposite an obtuse angle of a triangle is greater than the squares on the other two sides. 15. Five times the square on the hypotenuse of a right.angled triangle is equal to four times the sum of the squares on the medians drawn to the other two sides. 16. Three times the square on a side... | |
 | 1884 - 708 pagina’s
...and a diagonal is 8,545 feet ; determine whether the parallelogram is a rectangle. By Euclid I. 47, the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Here the diagonal corresponds with the hypotenuse. Now 75842 +... | |
 | Euclides - 1884 - 182 pagina’s
...each side of which shall be equal to a given straight line." 9. Give the proposition equivalent to : " The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares upon the other two sides." 10. In the construction to XLVIII., show that it... | |
 | George Shoobridge Carr - 1886 - 1036 pagina’s
...— The complements of the parallelograms about the diameter of a parallelogram are equal. I. 47. — The square on the hypotenuse of a right-angled triangle is equal to the squares on the other sides. I. 48. — The converse of 47. BOOK II. II. 4. — If a, b are the... | |
 | Robert Chambers - 1890 - 866 pagina’s
...concerned with measurement. An example of a metrical property is the theorem of the three squares : The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the two sides. The geometry of Euclid s Elements is metrical. Descriptive... | |
 | James Frederick Ferrier - 1888 - 744 pagina’s
...This, therefore, is not a truth valid at all times for all intelligence. Take another case. I say, The square on the hypotenuse of a right-angled triangle is equal to the squares on the other two sides ; or, to take a simpler case, I say that two straight lines cannot... | |
 | Isaac Hammond Morris - 1890 - 440 pagina’s
...double of the triangle. (Eue. i. 41.) ABСD = twiceABС. (Fig. 6.) E FG H = twice EF J. (Fig. 7.) 7. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. (Eue. i. 47.) The sq. CBDE = thesq. ABFG + the sq. AH... | |
| |
Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
