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" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... "
Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 87
by Euclid - 1890 - 400 pages
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...two of its sides equal to two given straight lines each to each. 4. If a straight line is b-sected and produced to any point, the rectangle contained by the whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the line which...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...the ratio of i.-V/sT 4. If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part of it produced together with the square of half the line bisected is equal to the square of the line which is made up of the half and the part...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...than the diagonal of the square. For Admission as Teacher of the Third Class. 2. If a straight line be bisected and produced to any point, the rectangle...the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...CD (v EB=AD). This may be taken as alternative proof of II. 6. PROPOSITION 6. If a straight line be bisected and produced to any point, the rectangle...contained by the whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the straight...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...straight line which is made up of the half and the part produced. Produce a given straight line so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square on half the line. 2. If any point be taken in the diameter of...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...line between the points of section, is equal to the square on half the line. 6. If a straight line be bisected and produced to any point, the rectangle...contained by the whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the straight...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...between the points of section, shall be equal to the square on half the line. 6. If a straight line be bisected and produced to any point, the rectangle...the part of it produced, together with the square on half the line bisected, shall be equal to the square on the line made up of the half and the part produced....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...»hall be greater than the base of the other. 5. If a straight line is bisected and produced to any 22 point, the rectangle contained by the whole line thus produced, and the part of it poduced, together with the square on half the line bisected, is equal to the square on the straight...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...draw CD J.AC, etc. Use § 32, Ex. 1. Compare Euc. II. 14. 4. Produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given square. Let AB be the given straight line, CB a side of the given...
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A Key to the Exercises and Examples Contained in a Text-book of Euclid's ...

Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1892 - 286 pages
...the Examples of the book. On Page 148 (Euclid), Ex. 40, read, "Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced, may be equal to the square on another given line." Page 148, Ex. 41. Head, "Produce a given...
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