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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, together •with the square on half the line bisected, is equal to the square on the straight line which is... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 41
by Euclides - 1834
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...contained by the whole line, and one of the parts, together with the square of the other part, is equalto the square of the straight line which is made up of the whole and the jir si-mentioned part. Let the straight line AB be divided into any two parts in the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...their squares, B ID PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus 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 part produced. Let the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...and difference DB. PROP. VI. THEOR. 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, together ivith the square of half the line bisected, is equal to the square of the straight line which is made...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...c 36. 1. d 43. 1. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...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;...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first mentioned part. Сок. 1. Hence, four times the rectangle contained by any two...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...If a straight line be bisected and produced to any point, the rectangle contained by the whole line produced, and the part of it produced, together with...half the line bisected, is equal to the square of the line made up of the half and the part produced. Proved by showing that CD* = figs. CH + BF + LG ; and...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first mentioned part. Let the straight line AB he divided into any two parts in the point...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; * Otherwise...
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