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If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced...
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Seite 52
von Euclides - 1853
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## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 Seiten
...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 ...

Euclides - 1834 - 518 Seiten
...part of it produced, 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...rectangle AD, DB, together with the square of CB, shall be equal to the square of CD. Upon CD, describe * the square CEFD, join DE ; and through B, draw...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 Seiten
...part of it produced, 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...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 (Prob. 18. 1.)...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...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. Let the...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 to...
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## The Element of Geometry

John Playfair - 1836 - 114 Seiten
...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...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 angles...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 Seiten
...of half the line bisected, is equal to the square of the straight line which is made up of the hay' and the part produced. Let the straight 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 " the square...
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## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 Seiten
...part of it produced, 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. VII. If a straight line be divided into any two parts, the squares of the whole line, and of one of...
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## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 410 Seiten
...of it produced, 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...straight line AB be bisected in C, and produced to D ; the rectangle AD.DB, and the square of CB, are equal to the square of CD. Upon CD describe (I....
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## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 Seiten
...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...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 G draw (Prop. 11.1.) CE at right...
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## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 Seiten
...the straight line AB he divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD • DB, together with the square of CD, is equal to the square of CB. Upon CB describe the square CEFB (I. 46) ; join BE, and through D...
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