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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...
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Σελίδα 161
των Euclides - 1858
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## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 σελίδες
...cut into two Parts, four times the Re&angle, contain'd under the whole Line, and one of the farts, together with the Square of the other Part, is equal to the Square of the Line, compounded of the whole Line, and the firft Part taken as one Line. T ET the Right L5ne AB be...

## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 σελίδες
...Where'ibre, if a Right Line be any bow cut into two Partr, four times the Reftangle (ontained under the whole Line, and one of the Parts, together with the Square tf the other Par), is equal to the Square of the Line9 compounded of the -whole Line, and the firft...

## Short, But Yet Plain Elements of Geometry: Shewing how by a Brief and Easie ...

Ignace Gaston Pardies - 1734 - 192 σελίδες
...any how into two Parts, theQuadrupIe Reftangle under the whole Line, and one of the Parts added to the Square of the other Part, is equal to the Square of the whole and the other Part added to it, as if it were but one Line. ae Z| -- ! - 1 Let the whole Line...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...together with the fquare of AC. Wherefore if a ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...

## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 σελίδες
...VIII. THEOREM. ]fa Right Line be any bow cut into two Parts, four 'Times the Re51angle> contained under the whole Line, and one of the Parts, together with...of the other Part, is equal to the Square of [the Line compounded of] the whole Line and the fir jt Part, taken as one Line. TET the Right Line AB be...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...fquare of AC. Wherefore, if a ftraight line, &c. Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times the...whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...

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

Euclid - 1781 - 552 σελίδες
...PROP. VIII. THEO R. > ... IF a ftraight line be divided into any two parts, four times the reSangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up ot the whole...

## Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 σελίδες
...THEORE M. If a Right Line be any bow cut into two Parts, four Times the ReElangle, contained under the whole Line, and one of the Parts, together with...Square of the other Part, is equal to the Square of \tbe Line compounded of ~\ the whole Line and thefirjl Part, taken as one Line. ,T. £ T the Right...

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

Euclid, John Playfair - 1795 - 462 σελίδες
...PR O P. VIII. THEO R." TF a ftraight line be divided into any two parts, J. four times the reftangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made up of the whole...

## Elements of Algebra for the Use of Students in Universities: To which is ...

William Trail - 1796 - 334 σελίδες
...place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that the rectangle contained by the -whole line, and one of the parts, may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C...