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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. "
The school edition. Euclid's Elements of geometry, the first six books, by R ... - Pagina 112
door Euclides - 1864
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The Calendar

University of South Africa - 1913 - 768 pagina’s
...triangles or parallelograms of equal altitude are to one another as their bases. Right-angled Triangles: The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides, and conversely. In a right-angled triangle, if a perpendicular...
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Regulations and Courses of Study of the Continuation Schools ...

Ontario. Dept. of Education - 1913 - 128 pagina’s
...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...
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The Relation of Science and Philosophy ...

Roy Balmer Liddy - 1914 - 156 pagina’s
...Pythagoreans geometry was placed upon a much firmer basis. To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. If the Egyptians had only known this in the special...
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A High School Algebra, Deel 2

Jacob William Albert Young - 1914 - 232 pagina’s
...side is 20 in., using 1.7321 as V3. 54. Find the side of an equilateral triangle, if h = 9V3 in. 55. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Express this relation in the form of an equation, using...
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Sessional Papers - Legislature of the Province of Ontario, Volume 6

Ontario. Legislative Assembly - 1914 - 998 pagina’s
...triangle. The complements of the parallelograms about the diagonal of any parallelogram are equal. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides. If a straight line be divided into any two parts, the sum of the...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1916 - 554 pagina’s
...base of the triangle with the greater contained angle is greater than the base of the other. 2. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the remaining sides. 3. Prove thnt if a line AB is bisected in C and produced...
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A Plea for Latin

James Walker Downer - 1916 - 54 pagina’s
...the college department. I then said, "Mr. Smith' will you please step to the board and prove for me that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the sides?" He looked at me in amazement and said that he could not do it...
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Industrial Arithmetic

Charles Gerard White, Pitt Payson Colgrove - 1916 - 368 pagina’s
...cylinders are to each other as the cubes of the altitudes or as the cubes of the radii of the bases. 253. The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 254. The right angle of a right-angled triangle is 90°....
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Textile Calculations, Manufacture and Mechanism

Joseph Henry Whitwam - 1920 - 456 pagina’s
...units of area = \(CD + AB) x (Ж „ [since AX = CK] ,(Sum of the (Th,e = ipM^des,-±enthem). 67. " The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the A right angle." The truth of this geometrical proposition...
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The Monist, Volume 32

Paul Carus - 1922 - 652 pagina’s
...energy, but it is hard to imagine a man who is really sincere in questioning the theorem of Pythagoras, that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the two squares on the legs of the triangle. This conviction which we possess...
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