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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 ... - Side 112
av Euclides - 1864
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Principles of Logic

George Hayward Joyce - 1908 - 448 sider
...experience of the individual case, such as ' This book is bound in cloth,' and propositions such as, ' The square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the remaining sides.' Neither of these, Kant tells us, can be discovered...
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Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - 1908 - 460 sider
...using 1.7321 as л/3. 39. Find the side of an equilateral triangle whose altitude is 9 л/3 in. 40. 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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School Algebra, Volum 1

William Ernst Paterson - 1908 - 614 sider
...227 159. Equations of second degree, Type III (extended). = 0. By using Pythagoras' Theorem, viz. ' The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides containing the right angle ', we can prove that the graph of an...
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Elementary Science Applied to Sanitation and Plumbers' Work

A. Herring-Shaw - 1910 - 288 sider
...parallelogram shall be double that of the triangle. Thus in Fig. 4, ABCD = twice ABC, and EFGH=twice EFJ. (5) The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other sides. (Euc. I., 47.) Thus in Fig. 5, the square CEDE = the square...
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College Entrance Examination Papers in Plane Geometry

1911 - 192 sider
...which divides OP in a constant ratio. Find the locus of Q as P moves along the given line. 6. Prove that the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the sides. Two rectangles inscribed in a circle are equal in area. Prove...
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An Intermediate Logic

James Welton, Alexander James Monahan - 1911 - 544 sider
...from his rationality, as effect from cause — the attribute ' tool- using ' is therefore a proprium. That the ' square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the sides containing the right angle ' is also a proprium, because...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 sider
...two numerical values of x*, to two places of decimals. Section IT. 5. Prove the theorem of Pythagoras that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides. Draw a square ABCD, side 3 inches. Calculate to two places of...
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Special Reports on Educational Subjects, Volumer 26-27

Great Britain. Board of Education - 1912 - 1044 sider
...two numerical values of x", to two places of decimals. SECTION II. 5. Prove the theorem of Pythagoras that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on its sides. Draw a square ABCD, side 3 inches. With centres A, B, C, D in...
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Proceedings, Volum 5,Del 2

1913 - 692 sider
...Andronicus, ii, 1. In a former paper the writer gave three methods of proof of the celebrated proposition that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the legs (sides including the right angle). Other proofs are presented here...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1913 - 228 sider
...(16) A 4. Calculate the magnitude of the angle of a regular polygon of eleven sides. (10) A 5. Prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. A, B, C are three towns; B is 17 miles north of A ;...
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