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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 made... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 56
av John Playfair - 1832 - 333 sider
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...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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The Element of Geometry

John Playfair - 1836 - 148 sider
...&c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...of the half 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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 524 sider
...is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...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 - 1836 - 542 sider
...is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...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 - 1837 - 112 sider
...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 - 1837 - 290 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...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 be 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 - 1837 - 410 sider
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...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 that part. Let the straight line AB be divided into any two parts in the point C : four times...
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