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" If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...line 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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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...line 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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Calendar, for the Year ...

1896 - 154 pages
...thus 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. Produce a line so that the sum of the squares on the whole line thus produced and on the part produced...
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Calendar ...

University College, Galway - 1897 - 394 pages
...as produced and the produced part, together with the square on half the original line, is equal to the square on the line made up of the half and the part produced. 9. The angle in a segment of a circle less than a semicircle is greater than a right angle. EXPEEIMENTAL...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...and on the part produced is equivalent to twice the sum of the squares on half the line bisected and on the line made up of the half and the part produced. 609. If in the triangle ABC the median drawn from the vertex C is equal to one half the side AB, prove...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...thus 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. APBQ Let the straight line AB be bisected at P, and produced toQ. Then shall the sum of the sqq. on...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...thus produced and on the part produced, is twice the sum of the squares on half the original line, and on the line made up of the half and the part produced. Ex. 11O3. Four points A, B, C, D are taken in order on a straight line; prove algebraically that AB...
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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
...thus 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. APBQ Let the straight line AB be bisected at P, and produced toQ. Then shall the sum of the sqq. on...
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Annual Report of the Department of Education ..., Volume 4, Part 1911; Volume 6

Alberta. Department of Education - Education - 1912 - 244 pages
...thus 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. 10 — II. 8 4. If a straight line be divided in medial section as in 11 — II, show that the rectangle...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 814 pages
...produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the line made up of the half and the part produced. 4. If a straight lii does not pi right angle 5. Upon ft given e([ual to a 6. In a given tri.i...
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