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" If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Side 120
av Thomas Perronet Thompson - 1833 - 150 sider
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 340 sider
...— THEOREM. 237. 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 ABC be a right-angled triangle, having the right angle at A ; then the square described on the...
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Reason and Revelation: Or, The Province of Reason in Matters Pertaining to ...

Robert Milligan - 1868 - 456 sider
...necessary, to prove 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, every time that he attempts to square a building. It is enough for him to know that this truth has...
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Papers for the schoolmaster, Volum 4

1868 - 344 sider
...can be deduced from it. 0!^ Ilie square described on the liypothennse of a right-angled triangle, 11 equal to the sum of the squares described on the other two sid>-s. Prore this. ALQEBK A. MALES ONLY. The solution must in every instance be given el Ml Itaglh....
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 278 sider
...lines." P. VIII. B. IV. "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." P. XI. B. IV. " In every quadrilateral inseribed in a circle, the rectangle of the two diagonals, is...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1869 - 276 sider
...b\ THEOREM XXXIX. TJte square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC represent any right-angled triangle, the right angle at B; we are to prove that the square...
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 272 sider
...lines." P. VHI. B. IV. "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." P. XI. B. IV. "In every quadrilateral inscribed in a cirele, the rectangle of the two diagonals, is...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1870 - 392 sider
...thus, THEOREM XII. 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. 1 • " / Of Bight Angled Triangles. Let BAC be a right angled triangle, right angled at A: then will...
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The Boys of Grand Pré School

James De Mille - 1871 - 370 sider
...he added in the same tone, " 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 of the same." " And I," said Arthur, " find Arnold's Latin Exercises the worst. The most solemn thing...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 sider
...PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. IZ LS Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 464 sider
...PROPOSITION XI. THEOREM. CBK 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. Let ABC be a triangle, right-angled at A : then will = Al? + AC\ Construct the square BG on the side...
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