 | James Bates Thomson - Arithmetic - 1847 - 434 pages
...contains 25 sq. ft. Hence, 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. OBS. Since the square of the hypothenuse BC, is 25, it follows that the , or 5, must be the hypothenuse... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...3.172181. 29. 207f£. 9. 9801. 16. 47089. 23. 10342656. 30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth... | |
 | James Robinson (of Boston.) - 1847 - 304 pages
...comparative solidity ? Art. 263. We have shown by a diagram in Art. 189, that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the base and perpendicular. Hence, when two sides of any right-angled triangle... | |
 | James Bates Thomson - Arithmetic - 1848 - 434 pages
...Uio «idu JIC in tin- hypothenuse. B Base. ARTS. 575-580.] SQUARE ROOT. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth... | |
 | Rufus Putnam - Arithmetic - 1849 - 276 pages
...the square H to be equal to the number of small squares in the squares I and K. Hence, the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of both the other sides ; and, therefore, the hypothenuse is equal to the square root of... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...? 26. If you describe a square on the hypotenuse of a right-angled triangle, will it be equivalent to the sum of the squares described on the other two sides ? 27. What is the circumference of a circle? Radius? Arc? Chord? Segment? 28. What is an inscribed... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...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 the triangle ABC be right angled at A. Having described squares on the three sides, let fall from... | |
 | Thomas Dick - Astronomy - 1850 - 964 pages
...physical »cience. That " a whole is greater than any of its parts," — that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its reu»*'*! «des," are facts, the one deduced frov Jlnxvation or simple... | |
 | Thomas Dick - Cosmology - 1850 - 684 pages
...and physical science. That " a whole is greater than any of its parts,"—that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its rera%i#titf »Mes," are facts, the one deduced fiwqa ^fctasrvation or... | |
 | J. D. Bell - Conduct of life - 1850 - 486 pages
...of a triangle are together equal to two right angles. Such is the truth, that the square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the two other sides. Such is the law of the Binomial Theorem. Such is the... | |
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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. 
