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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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Calendar of Dalhousie College and University

Dalhousie University - 1903 - 190 páginas
...the intersection of its diagonals. 5. If a straight line be divided into any two parts, the sum of the squares on the whole line and on one of the parts is equal to the sum of twice the rectangle contained by the whole line and that part and the square...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 páginas
...half and the part produced. Ex. 11OO. 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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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 488 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 - 818 páginas
...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 - 188 páginas
...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 - 1522 páginas
...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 - 650 páginas
...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 Report of the Association of Ontario Land Surveyors, Volumen17

Association of Ontario Land Surveyors - 1909 - 254 páginas
...made by this line witk the base is half the vertical angle of the triangle. 3. If a straight line be divided into any two parts, the squares on the whole...that part together with the square on the other part. 4. Prove that the square on any straight line drawn from the vertex of an isosceles triangle to the...
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Annual Calendar of McGill College and University

McGill University - 1883 - 404 páginas
...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 - 578 páginas
...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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