 | 412 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the other two sides, was un experimental discovery, or why did the discoverer sacrifice... | |
 | James Bates Thomson - Arithmetic - 1847 - 434 pages
...627264. 27. 28. m. 794i. 8. 7056. 15. 43681. 22. 3.172181. 29. 207|-f, 9. 9801. 16. 47089. 23. 10342656. 30. 34967ft. 371 578. The square described on the...of a rightangled triangle, is equal to the sum of the squares described on the oilier two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth... | |
 | James Bates Thomson - Arithmetic - 1847 - 432 pages
...27889 961. 6. 6. 7. 8. 9. 784. 87. 4761. 7056. 9801. 12. 13. 14. 10. 16. 97. 1. 190. 43681. 47089. 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
...i« right-angled at B, mid 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... | |
 | James Bates Thomson - Arithmetic - 1849 - 438 pages
...190. 2A. 627264. 28. 794i. 15. 43681. 22. 3.172181. 29. 207-ff. 16. 47089. 23. 10342656. 30. 34967-i 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... | |
 | J. D. Bell - Conduct of life - 1850 - 486 pages
...that the three angles 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. 
