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" Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 98
by Euclides - 1874
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge, Volume 5

Encyclopedias and dictionaries - 1890 - 866 pages
...concerned with measurement. An example of a metrical property is the theorem of the three squares : The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the two sides. The geometry of Euclid s Elements is metrical. Descriptive...
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Practical Plane and Solid Geometry, Including Graphic Arithmetic

Isaac Hammond Morris - Geometry, Plane - 1890 - 430 pages
...double of the triangle. (Eue. i. 41.) ABСD = twiceABС. (Fig. 6.) E FG H = twice EF J. (Fig. 7.) 7. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. (Eue. i. 47.) The sq. CBDE = thesq. ABFG + the sq. AH...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...bisected by the lines joining the diameters of the quadrilateral. 4. Prove that five times the square of the hypotenuse of a right-angled triangle is equal to four times the sum of the squares of the medians from its extremities. PROPOSITION XXIII. 416. Theorem: Of three similar...
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The Strand Magazine, Volume 21

Herbert Greenhough Smith, Sir George Newnes, George Newnes, Limited - England - 1901 - 792 pages
...that if the equal sides be produced the angles on the other side of the base are equal also ; or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should...
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Wiseman Review, Volume 110

1892 - 522 pages
...superficial selfintrospection will- make this clear. When, for example, the student has learnt that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides, he knows implicitly that he knows this truth, and he...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...the difference of the squares on the parts is equal to a given square. 120 The proof of the theorem "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides," which we have given in the text of the 47th proposition,...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - Geometry - 1893 - 256 pages
...п.), as GE = FH, and being | make = alternate Zs; ie, EO = OF. 4. Prove that five times the square of the hypotenuse of a right-angled triangle is equal to four times the sum of the squares of the medians from its extremities. Let A, B, C, be the three sides of at^, A being...
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Letters on a Regicide Peace: Letters I. and II.

Edmund Burke - 1893 - 176 pages
...attributed to him are the propositions that the triangle inscribed in a semicircle is right-angled, and that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. ll. 25-26, Goitre . . . countenance, all being equally afflicted...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 706 pages
...the difference of the squares on the parts is equal to a given square. 120 The proof of the theorem "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides," which we have given in the text of the 47th proposition,...
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The First Men in the Moon

Herbert George Wells - FICTION - 1901 - 386 pages
...that if the equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should...
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