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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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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...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...the line made up of the half and the part produced. 9. If the square described on one of the sides of a triangle be equal to the squares described on the...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...on the part 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, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...part 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...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...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
...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 half and the part prodnced . . . . . . . II. 10. C. Relating to a Straight Line divided into any number of parts, and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 halj and the part produced. Let the straight lme AB be bisected at C, and produced to D : the squares...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 tlie halj and the part produced. Let the straight lino AB be bisected at C, and produced to D : the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...the whole line t hus produced, and the square on the part p/' it produced, are ti3yether double of the square on half the line bisected, and of the square...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 squares of the two unequal parts are together double of the square of half the Hue bisected, and the square on the line made up of the half and the part produced ........ 62 THEOREM 29. In any right-angled triangle the square on the hypothenuse is equivalent to...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...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...ofsqq. on AD, BD = twice sum ofsqq. on AC, CD. Draw CE to AB, and make CE=AC. Join EA, EB and draw EF II to AD and DF II to CE. Then v L s FEB, EFD are...
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