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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Seite 90
von Robert Potts - 1868 - 410 Seiten
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 Seiten
...ihali be equal to the rectangle contained by the two parts, together with the tquare of the aforesaid part. Let the straight line AB be divided into any two parts А С, С В : the rectangle under AB, BC shall be equal to the rectangle under AC, С В, tocrether...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 Seiten
...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 C;four times the rectangle AB.BC, together with the square of AC, is equal to the square of the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 Seiten
...are equal to twice the rectangle contained by the whole and that part, together with the square of the other part* Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together with the square of AC, or...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in Book i i- the point C...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 Seiten
...shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts AC, С В : the rectangle under AB, В С shall be equal to the rectangle under AC, CB, together with...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 Seiten
...parts, is equal to the rectangle contained by the two parts, together with the square of the foresaid part. Let the straight line AB be divided into any two parts ia the point C; the rectangle AB, BC is equal to the rectangle AC, CB, together with the square of...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. Сон. Hence the sum of the squares of any two lines is equal to twice the rectangle...
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The Element of Geometry

John Playfair - 1836 - 148 Seiten
...If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts are equal to twice the rectangle contained by...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 Seiten
...IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained...the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 Seiten
...the diiferencc between the squares of half the line and the mean distance. PROPOSITION TIL THEOREM. to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares...
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