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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. "
Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ... - Σελίδα 369
των James Bates Thomson - 1847 - 422 σελίδες
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The Torch

...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...

HIGHER ARITHMETIC; OR THE SCIENCE AND APPLICATION OF NUMBERS; COMBINING THE ...

JAMES B. THOMSON - 1847
...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...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 422 σελίδες
...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...

The American Arithmetic

James Robinson (of Boston.) - 1847
...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...

Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1848 - 422 σελίδες
...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...

Higher Arithmetic; Or The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1849
...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...

Putnam's Arithmetic

Rufus Putnam - 1849 - 264 σελίδες
...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...

Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - 1849 - 144 σελίδες
...? 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...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 359 σελίδες
...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...

A man

John Dempster Bell - 1850 - 452 σελίδες
...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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