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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other... "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - Página 151
por Royal Military Academy, Woolwich - 1853
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 páginas
...line, &c. QED PROPOSITION VIIL THEOREM. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which is made...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 páginas
.... . . . . . .' . . . . . . . . 145 s. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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Elementary geometrical drawing

Samuel H. Winter - 1878 - 132 páginas
...circle with a radius of 1^ in., touching the two smaller ones. the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 5. Find both a mean and a third proportional to two straight lines 1'2 and l ' 8 in. long. Measure...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 páginas
...rectangles contained by A and BD, A and DE, COR. i. <If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two part s\. COR....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...of its angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole line and...parts shall be equal to the square of the other part. 11. Inscribe an equilateral and equiangular hexagon in a given circle. 12. If two equal triangles have...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...triangles must be taken. 2. Divide a line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Show that the point of section lies between the extremities of the line. 3. Upon a given straight line...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 68 páginas
...this may be given in the case of a straight line, so divided that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part — a proportion to be hereafter alluded to as of great interest in another connection. Now this whole...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumen23

1879 - 636 páginas
...having an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 5. Angles in the same segment of a circle are equal to...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 páginas
...line, etc. QED Proposition VIII. Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 páginas
...never less than twice their rectangle. 8. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made...
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