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" IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 3-7
por Euclides - 1814
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Manual

1903 - 898 páginas
...divided into any two parts, prove that the square on the whole line is equal to the sum of the squares on the two parts, together with twice the rectangle contained by the parts. 6. Describe an isosceles triangle such that the square on the base may be equal to three times the...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - 1903 - 236 páginas
...formula as true in the present case. It says, the square on a line is equal to the sum of the squares on the two parts together with twice the rectangle contained by the parts. This is of course Euc. II, iv. 16. It will be seen that all the theorems in the Second Book of Euclid...
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Report of the Commissioner of Education Made to the Secretary of ..., Volumen1

United States. Bureau of Education - 1907 - 732 páginas
...described on the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Report of the Commissioner of Education Made to the Secretary of ..., Volumen1

United States. Bureau of Education - 1907 - 724 páginas
...described on the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Annual Report, Volumen1

United States. Office of Education - 1907 - 720 páginas
...described on the other two sides of it, the angle contained by these two sides is a right angle. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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Annual Report of the Commissioners ..., Volumen74

1908 - 650 páginas
...together double of the squares on. half the line ami on the line between the points of section. 4. If a straight line be divided into any two parts, the square on the sum of the whole line and either segment is equal to four times the rectangle contained by the...
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The Dublin University Calendar, Volumen1

Trinity College (Dublin, Ireland) - 1909 - 546 páginas
...of that which has the greater angle is greater than the base of the other ? 4. If a straight line he divided into any two parts, the square of the whole...the squares of the two parts, together with twice their rectangle ? 5. Two chords of a circle which are not both diameters cannot bisect each other ?...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1912 - 300 páginas
...other two sides, then the angle contained by these two sides is a right angle. (8 A 6. Prove that, if a straight line be divided into any two parts, the square on the whole line is equal to the sum of the rectangles contained hy the whole line and each of the...
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Annual Report

Saskatchewan. Department of Education - 1910 - 260 páginas
...that four times the sum of the squares on BE and OF is equal to five times the square on BC. 2. (a) If a straight line be divided into any two parts, the square on the whole line is equal to the squares on the two parts, together with twice the rectangle contained...
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The Concise Handbook of Algebra

Aleksandr Vasilʹevich Mikhalev - 2002 - 650 páginas
...4, deals with the algebraic identity (a + b)2 = a2 + b2 + lab. It is formulated the following way: "If a straight line be divided into any two parts,...the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts." The real precursor of...
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