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" If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 52
by Robert Simson - 1781 - 466 pages
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...thus produced and on the part produced is double of the sum of the squares on half the line and on the line made up of the half and the part produced*. Let the straight line AB be bisected at C, and produced to D : it is required to prove that the sum of the...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...produced, and on the part produced, is twice the sum of the squares on half the line bisected and on the line made up of the half and the part produced. Let the st. line AB be bisected at P, and produced to Q. Then shall the sum of the sqq. on AQ, QB be twice...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. SECTION B. 7. The angles B and C of a triangle ABC are acute angles, and Section m.. C is greater than...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...produced, and on the part produced, is twice tlie sum of the squares on half the line bisected and on the line made up of the half and the part produced. Let the st. line AB be bisected at P, and produced to Q. Then shall the sum of the sqq. on AQ, QB be twice...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 812 pages
...thus produced and the part produced, together with the square of half the line, is equal to the square of the line made up of the half and the part produced. 3. On a given right line to describe a segment of a circle containing an angle equal to a given rectilineal...
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Solutions of the Exercises in Tyler's Euclid

268 pages
...equal to the square on the part produced together with twice the rectangle contained by the line and the line made up of the half and the part produced. Let AB be bisected in C and produced to D. Now B is a pt. hi CD and AC= CB; sq. on BD + 4 rect. CD, CB=sq....
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 964 pages
...and the part of it produced together with the square of half the line bisected is equal to the square of the line made up of the half and the part produced. 4. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...
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Parliamentary Papers, Volume 17

Great Britain. Parliament. House of Commons - Bills, Legislative - 1871 - 902 pages
...and the part of it produced together with the square ot half the line bisected is equal to the square of the line made up of the half and the part produced. 4. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...
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