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To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 57
by Euclid, James Thomson - 1837 - 390 pages

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

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the.rectangle contained by the whole, and one of the parts, may be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two...

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

John Playfair - Mathematics - 1806 - 320 pages
...PROP. XI. PROB. TO divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle...

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

John Playfair - Circle-squaring - 1819 - 350 pages
...be done. x Otherwise. •' Divide the radius of the given circle, so that the rectangle contained by the whole and one of the parts may be equal to the square of the other (11. 2.). Apply in the circle, on each side of a given point, a line equal to thegreater of these parts...

## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...the given square. (9.) To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than fhe line to be divided. Let AB he tlie given line to be divided. Upon...

## Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...the given square. (9.) To divide a straight line into ttvo parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. L,etAB be the given line to be divided. Upon...

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

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...to be done. Otherwise : "Divide the radius of the given eirele, so that the reetangle eontained by the whole and one of the parts may be equal to the square ef the other (tl. 2.). Apply in the eirele, on eaeh side of a given point, a line equal to the greater...

## Connolly's Arithmetic: Or, The Ohio Accomptant: Being a Plain Practical ...

James L. Connolly (mathematician.) - Arithmetic - 1829 - 266 pages
...EXAMPLE. 13. Let it be required to divide 100 into two such parts, that the product of the whole, into one of the parts, may be equal to the square of the other part ? 1st. Suppose 38 and 6-i Error in this, 4i — 5 ,,, .._ , 2nd. Suppose 38.2 and 61.8. Error...

## The Elements of Algebra: Designed for the Use of Students in the University

John Hind - Algebra - 1837 - 584 pages
...which answer the symbolical condition. • Ex. 3. Divide 20 into two parts, so that the product of the whole and one of the parts, may be equal to the square of the other part. Let a? = one part : .-. 20 - as = the other : whence, 20a? = (20 - off = 400 - 40a? + of : .-....