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If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the...
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 52
των Robert Simson - 1781 - 466 σελίδες
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## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...fquares of AD, DB are double of the fquares of AC, CD. If therefore a ftraight line, &c. QED PRO PX THEO R. TF a ftraight line be bifected, and produced...and the part produced. Let the ftraight line AB be bife&ed in C, and produced to the point D; the fquares of AD, DB arc double of the fquarcs of AC, CD....

## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...be bifected, and produced to any point, the fquare of the whole line thus produced, and the iquare of the part of it produced, are together double of...the fquare of the line made up of the half and the pait produced. • i Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares...

## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 σελίδες
...together with the fquare of half the line bife&ed, is equal to the fquare of the ftraight line which is made up of the half and the part produced. Let the...be bifefted in C, and produced to the point D ; the reftangle AD, DB, together with the fquare of CB, is equal to the fquare of CDUpon CD defcribe a the...

## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...ftraight line, &.c. Q^ED PROP. X. THEOR. 5« N. rp a ftraight line be bifected, and produced to any J point, the fquare of the whole line thus produced,...and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares of AD, DB are double of the fquares of AC,...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the rectangle AD, DB together with the fquare of CB, is...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...part of it 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 suaight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of...

## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...part of it 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. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle contained by...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...part of it 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 straight line AB be bisected in C and produced to the point D ; the squares of AD, DB are double of...

## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...the part of it produced, are together double of the square of half the line bisected, and of the so of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...part of it 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 straight line AB be bisected in С and produced to the point D ; the squares of AD, DB are double of...