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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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 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. (References— Prop. i. 5, 6, 11, 15, 29, 31, 32, 34, 46 Cor. 47.) Let the straight line AB be bisected...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 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. 10. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...of it produced, are together double of the square on half the line bisected, and of the sgjtare on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the squares on AD, DB, shall'...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...of it produced, are together double of the square on half the line bisected, and of tlie square on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...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 half and the part produced. Let the straight line AB ba bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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. Prop. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...p/' it produced, are ti3yether double of the square on half the line bisected, and of the square on the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...the two unequal parts are together double of the square of half the line bisected, and the square on the line made up of the half and the part produced. Let AB be bisected in C, _ < __ ^ and divided unequally in D. '-' -° .** Then the squares on AD, DB will...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...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 half and the part produced. Let the st. line AB be bisected in C and produced to D. Then must sum ofsqq. on AD, BD = twice sum ofsqq. on...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...part of it produced are together double if the square on half the line bisected and of the square on the line made up of the half and the part produced. Let the st. line AB be bisected in C and produced to D. Then must sum ofsqq. on AD, BD = twice sum ofsqq. on...
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