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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 17
av W J. Dickinson - 1879 - 36 sider
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...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. Female Candidates for Class I. will omit the 1st and 4th of the foregoing Questions, and work the;...
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Prolusiones praemiis anniversariis dignatae et in auditorio recitatae ...

Harrow School - 1890 - 70 sider
...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 by the parts. 5. The angles in the same segment of a circle are equal to one another. 6. Let AB be a given finite...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...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 by the parts. If the two complements are together equal to the squares on the two parts, show, either by geometry...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897
...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 by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...line be divided into any two parts 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. 7. To describe a square that shall be equal to a given rectilineal figure. If a square and an isosceles...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - 1903 - 204 sider
...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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Manual

1903
...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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The Concise Handbook of Algebra

Aleksandr Vasilʹevich Mikhalev - 2002 - 618 sider
...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 algebra in antiquity is Diophantus (around 250). He developed a syncopated style...
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Parliamentary Papers, Volum 19

Great Britain. Parliament. House of Commons - 1861
...points may be equal to each other. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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The United Service Magazine, Volum 3;Volum 94,Side 3

1860
...parallels, are equal to each other. 11. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts. 12. The angle at the centre of a circle is double of the angle at the circumference, upon the same...
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