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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 93
by Robert Potts - 1876 - 403 pages
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the...line AB be bisected in C, and produced to the point A B k) ; the rectangle AD.DB, together with the square of CB, is equal to the square of CD. Upon CD...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...together with the square nf half the. line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight lino AB be bisected in C, and produced to the point A K C T> ] / Ft-. X, / H. M H M D ; the rectangle...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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. Let the straight line AB be bisected in С and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. From the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...together with the square of half the line biseeted, is equal to the square of the straight line whieh is made up of the half and the part produced. Let the straight line AB be biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...produced, and the part of it produced, shall be together double to the square of the half line, and of' the line made up of the half and the part produced. Let the right line be cut into two equal parts in the point с, and produced to the point b ; the squares of...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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,...AB be bisected in C, and produced to the point D: the squares of AD, DB shall be double of the squares of AC, CD. • 11. 1. From the point C draw *CE...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...are together double of the square, of half ' the line bisected, and of the square of the line madeup of the half and the part produced. Let the straight...line AB be bisected in C, and produced to the point ,l__ __ _ _.PA TV TVT) .] Ul „ ~f 1 , „ C \ f*> /"'~T\ EF parallel to AB, and through D draw...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...of it produced, are together double of the square of half tfie line bisected, and of the square of the line made up of the half and the part produced....AB be bisected in C, and produced to the point D; the squares of AD, DB are double of the squares of AC, CD. From the point C draw" CE at right angles...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...together with the square of half the line bisected, is equ2l to the square of the straight line which is made up of the half and the part produced. Let the...line AB be bisected in C, and produced to the point D ; the rectangle AD.DB together with the square of CB, is equal to the square of CD. Upon CD describe...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 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....line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. From the point C draw (9. 1.) CE at right...
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