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Βιβλία Βιβλία 71 - 80 από 173 για Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled....
" Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. "
Rainey's Improved Abacus: An Explanatory Treatise on the Theory and Practice ... - Σελίδα 237
των Thomas Rainey - 1849 - 312 σελίδες
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Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 657 σελίδες
...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, is attributed...

Examinations Papers

1896
...circles cut one another at right angles. 4. Prove that the area of any rectilineal figure described on the hypotenuse of a right-angled triangle is equal to the sum of the similar figures described on the sides. 5. Through a point 0 in a parallelogram straight lines...

American Comprehensive Arithmetic

Middlesex Alfred Bailey - 1897 - 320 σελίδες
...diameter ; divide the circumference by the diameter; the quotient will be 3.1416 approximately. II. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. For proof, the pupil is referred to geometry. We may illustrate...

Science Examination Papers

Great Britain. Dept. of Science and Art - 1899
...join CG, FH; show that the angles GCB and HFE are equal. (35.) 42. Show that a polygon described on the hypotenuse of a rightangled triangle is equal to the sum of the similar polygons, similarly described on the other sides. Given two similar triangles, show how...

Calendar, for the Year ...

1899
...polygons are in a ratio which is the duplicate of the ratio of two corresponding sides. A polygon on the hypotenuse of a right-angled triangle is equal to the sum of the polygons similarly described on the other sides. 5. Shew that the radian is a constant angle, and...

Mathematical Questions and Solutions, Τόμος 71

1899
...it, described on the other two sides. Solution by the PROPOSER. Lemma I. — A rhombus described on the hypotenuse of a right-angled triangle is equal to the sum of the rhombi equiangular to it described on the other two sides. Let ABC be a triangle, right-angled...

Famous Geometrical Theorems and Problems, with Their History, Τόμος 1

William Whitehead Rupert - 1900 - 107 σελίδες
...c + d. Whence a + b + cjrd= 2 right angles. .-. B + A + C=2 right angles. CHAPTER II. THEOREM. 10. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Pythagoras, who was born at Samos about 569 BC, was the first man...

Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...diagonals of parallelograms about a diagonal of a parallelogram are parallel. 6. The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides containing the right angle. Show how to find a square which is equal...

The Art of Study: A Manual for Teachers and Students of the Science and the ...

Burke Aaron Hinsdale - 1900 - 266 σελίδες
...together. The particular lesson on this occasion was the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows: Teacher. What have...

The Works of Voltaire: A philosophical dictionary

Voltaire, Tobias Smollett, John Morley, William F. Fleming, Oliver Herbrand Gordon Leigh - 1901
...the relation between a cone and a sphere is not of the sect of Archimedes; and he who perceived that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is not in consequence a Pythagorean. When we say that the blood...




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