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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...EUCLID-S ELEMENTS. PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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Annual Report of the Commissioners ..., Volumen72

1906
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 4. In every triangle the square on the side subtending an acute angle is less than the squares on the...
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Annual Report - Dept. of Education

Saskatchewan. Department of Education - 1906
...every two of the segments. (d) Illustrate deduction (c) algebraically. 6. (a) If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. — II. 7. (6) Compare proposition (a) in question 5 with proposition (a) in question 6 as to similarity...
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Calendar

University of Calcutta - 1906
...parallels, are eqnal in area. 3. If a straight line is divided into any two parts, prove that the sum 8 of the squares on the whole line and on one of the parts, is eqnal to twice the rectangle contained by the whole and that part, together with the sqnare on the...
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Annual Report of the Commissioners ..., Volumen74

1908
...divided into any two parts, the squares of the whole line and of one of the parts are equal to Geometry. twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Prove that the diameter of a circle is the greatest chord ; that of others, one...
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Annual Calendar of McGill College and University

McGill University - 1883
...area of the given triangle with that of the triangle formed by these lines. 5. If a straight line be divided into any two parts, the squares on the whole...one of the parts are equal to twice the rectangle under NATURAL PHILOSOPHY. 1. Define elasticity, resultant, lever, foree, centre of gravity. 2. Determine...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1910
...triangle. 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle...the whole and that part, together with the square of the other. («) Prove that the square of the sum of two lines is equal to the square of their difference,...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1919
...straight line be divided into any two parts, the sum of the squares on the whole line and one part is equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 3. Prove that angles in the same segment of a circle are equal. (a) Point out how...
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