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" If a straight line be divided into any two parts, four times the 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... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 55
av Euclid, Robert Simson - 1821 - 516 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...contained by the lines together with the " square of the difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 sider
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...with the square of AC. Wherefore, " if a straight line," &c. QED PROP. VIII. THEOR. JJ F E a 34. 1. If a straight line be divided into any two parts, four...and one of the parts; together with the square of t/ie other part, is equal to the square of the straight line which is made up of the whole and that...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...square of the whole une. PROP. 31. (Eue. ii. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...rectangle contained by the lines together with the square of the difference of the lines. VIII. If a straight line be divided into any two parts, four...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 sider
...contained by the " lines together with the square of the difference of the " lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four...contained by the whole line, and one of the parts, togetiier with the square of the other part, 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 - 1836 - 496 sider
...line thus produced, and the 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 of the part produced." 10. Some very useful problems may be performed by means of the...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...line thus produced, and the 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. Let the straight line AB be bisected in C, and produced to the...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 sider
...line thus produced, and the 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 of the part produced." 10. Some very useful problems may be performed by means of the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...This may be also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four...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...
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