 | William Thomson - Logic - 1863 - 404 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
 | William Thomson - Logic - 1863 - 354 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
 | Photography - 1880 - 1038 pages
...and unmathematically simple. Euclid, who I am sure must have studied photography deeply, proved that the square described on the hypothenuse of a right-angled triangle is equal to the sum of those described on the other two sides, and on this simple but valuable fact is based the whole of... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...the other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
 | George Augustus Walton - Arithmetic - 1864 - 364 pages
...square upon the line AC is equal to the two squares upon AB and BC ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, RULE I. To find the hypothenuse, the base and perpendicular... | |
 | Francis Bowen - 1864 - 480 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | Francis Bowen - Logic - 1864 - 480 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...upon the line А С is equal to the two squares upon А В and В С ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, EULE I. To find the hypothenuse, the base and perpendicular... | |
 | Francis Bowen - Logic - 1864 - 472 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
 | James Stewart Eaton - Arithmetic - 1868 - 356 pages
...how found? Diameter, how? Ratio of the areas of two circle*? 11. The square de- ^ Fig. 12. scribed on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
