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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 by C ... - Página 90
por Euclides - 1874
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Euclid's Elements of Geometry, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 708 páginas
...to the square on BD. 10—2 PROPOSITION 7. If a straight line be divided into any two parts, the 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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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 páginas
...equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 10. From a given point 0 external to a given circle draw a straight line OPQ to cut the cirrie at two...
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Sessional Papers, Volumen22,Parte2

Great Britain. Parliament. House of Commons - 1900 - 686 páginas
...equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 10. From a given point 0 external to a given circle draw a straight line OPQ to cut the circle at two...
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Special Reports on Educational Subjects, Volúmenes6-7

Great Britain. Board of Education - 1900 - 906 páginas
...equal to b, prove that each equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole...line, and on one of the parts, are equal to twice tho rectangle contained by the whole and that part, together with tho square on the other part. 10....
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 páginas
...formed is equal to the sum of the interior angles at the other two corners 3. If a straight line be divided into any two parts the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole line and that part together with the square...
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A Text-book of Euclid's Elements for the Use of Schools. Books I ..., Libro 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 páginas
...Ex., p. 137.] 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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 páginas
...of it, the angle contained by these two sides is a right angle. 4. Prove that if a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are together equal to twice the rectangle contained by the whole and that part, together with the square...
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Annual Report of the Commissioners ..., Volumen68

1902 - 482 páginas
...the line. 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 part. 6. If a straight line be bisected and produced to any point, the squares of the...
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Elementary Geometry: Plane

James McMahon - 1903 - 382 páginas
...the sum of the whole line and one part is equivalent to four times the rectangle of the whole line and that part, together with the square on the other part. Let the line AB be divided at E. To prove that the square on the sum of AB and EB is equivalent to four times...
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Elementary Geometry: Plane

James McMahon - 1903 - 380 páginas
...of the squares on the whole line and one part is equivalent to twice the rectangle of the whole line and that part, together with the square on the other part. Let AB be the given line divided at E. To prove that the sum of the squares of AB and EB is equivalent...
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