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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 51
por John Playfair - 1855 - 318 páginas
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 531 páginas
...equally and unequally, show that the rectangle contained by the unequal parts together with the square ou the line between the points of section is equal to the square on half the line. 11. If from a point on the circumference of a circle a tangent and a chord be drawn...
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Examination Papers

University of Toronto - 1900
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. (II. 5.) Divide a given straight line into two parts such that the rectangle contained...
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Annual Report of the Commissioners ..., Volumen68

1902
...remote angles. 4. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one of the...
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Calendar

University of Sydney - 1902
...shall be a rhombus. 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together...between the points of section is equal to the square on half the line. 5. Shew how to divide a given straight line internally or externally so that the...
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Science Examinations ... Reports, Etc

Great Britain. Board of Education - 1904
...unequal parts; show that the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. A straight line is divided into two parts; show that the rectangle contained by the...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...equally and also unequally, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. I. 46. I. 31. I. 43. Let the straight line AB be divided equally at P, and unequally...
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School Science and Mathematics, Volumen20

1920
...theorem you have that the rectangle upon the two unequal segments, which is 21 by construction, plus the square of the line between the points of section, is equal to 25, the square on half the line. This gives 25 — 21 or 4, as the square of that length, 2 as the...
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Developing Thinking in Algebra

John Mason, Alan Graham, Sue Johnston-Wilder - 2005 - 324 páginas
...equally and also unequally, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 1 t Task 1 5.3.1 b Diagramming Text and Texting Diagrams For the two diagrams, produce...
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Parliamentary Papers, Volumen43

Great Britain. Parliament. House of Commons - 1863
...four sides. 6. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Hence prove that the difference of the squares of two unequal lines, is equal to the rectangle contained...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumen18

1874
...AM to 1 PM 1. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the...
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