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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. "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 118
των Euclides - 1864
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Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - 1908 - 460 σελίδες
...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...

Principles of Logic

George Hayward Joyce - 1908 - 448 σελίδες
...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...

Plane and Solid Geometry

Elmer Adelbert Lyman - 1908 - 364 σελίδες
...? 3. Have the hypotenuse and a side of an isosceles rightangled triangle a common unit of measure ? (The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two sides.) 4. Express the ratio between the two magnitudes in each of...

Elementary Science Applied to Sanitation and Plumbers' Work

A. Herring-Shaw - 1910 - 288 σελίδες
...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...

College Entrance Examination Papers in Plane Geometry

1911 - 192 σελίδες
...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...

An Intermediate Logic

James Welton, Alexander James Monahan - 1911 - 544 σελίδες
...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...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...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...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...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...

Proceedings, Τόμος 5,Μέρος 2

1913 - 692 σελίδες
...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...

Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1913 - 228 σελίδες
...(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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