 | Charles Davies - Geometry - 1854 - 436 pages
...formula, PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right•angled triangle is equivalent to the sum of the squares described on the other two sides. Let BCA be a right•angled triangle, right•angled at A : then will the square described on the hypothenuse... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...vnortivu, to subtend]. The side of a right angled triangle opposite the right angle. In a plane triangle the square described upon the hypothenuse is equivalent to the sum of the squares described upon the other two sides. С In the right angled triangle ВЛС, right angled at B, we have AC' О... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...right•angled triangle, right•angled at A : then will the square described on the hypothenuse BO be equivalent to the sum of the squares described on the other two sides, BA, AC. G Having described a square on each of the three sides. let fall from A, on the hy• pothenuse,... | |
 | James Stewart Eaton - Arithmetic - 1857 - 376 pages
...circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares... | |
 | William Wirt Howe - 1859 - 324 pages
...drink confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented... | |
 | John Daniel Runkle - Mathematics - 1859 - 478 pages
...JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal to the sum of the squares described on the other two sides. Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...similar triangles are to one another as the squares of their homologous or similarly situated sides (Jig. 53) ; the same is true generally with regard to the...the side, is called a square foot, a square inch, &c. To ascertain how many times one square is contained in another, it is necessary to find out how... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...25 sq. ft. Hence, the square described on the hiipothenusc of any right-angled triangle, is eo/iial to the sum of the squares described on the other two sides. OBS. Since the square of the hypothenuse BC, is 25, it follows that tha , or 5, must be the hypothenuse... | |
 | John Cumming - 1861 - 540 pages
...book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal to the sum of the squares described on the other two sides — I remember I could prove that step by step ; but I have been so much out of the way of mathematics... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described... | |
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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. 
