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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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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...the square on the produced part, is equal to twice the square on half the line together with twice the square on the line made up of the half and the part produced. The propositions required for the construction and proof in this proposition are the same as in the...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 pages
...part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD'...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 be bisected in C, and produced to the point D. Then the squares on AD, DB, shall be...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 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. j Let the straight line AB be bisected at C, and ' • produced to D : the squares on AD, DB shall...
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Annual Report of the Commissioners ..., Volume 40

1874 - 680 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. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...square on the part of it produced, are together double of the square on half the line bisected, and the square on the line made up of the half and the part produced. 4. Of all straight lines in a circle drawn through a given point within it, the longest is the diameter...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 424 pages
...thus produced, and the square on the irt of it produced, are together double of the square on half e line bisected, and of the square on the line made up of the ilfand the part produced. Let the straight line AB be bisected in C, and produced to D ; ADĽ+DE* The...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...it produced, are toyclhcr double of the square on half the line bisected, and of the square mi t/ie line made up of the half and the part produced. Let the straight line AB be bisecteu in C, and produced to D ; AP5+1?,I'3 The squares on AD and DB shall be...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 234 pages
...produced, together with the square on half the line bisected, is equal to the square on the slraiyht line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D, the rectangle contained by |L the whole line AD,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 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 be bisected in C, and produced to D ; The squares on AD and DB shall be together double...
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