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" Iff 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... "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - 158 ページ
Miles Bland 著 - 1819 - 377 ページ
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 ページ
...ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times the rectangle 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...

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

Robert Simson - 1775 - 534 ページ
...Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times the rectangle 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...

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

William Trail - 1796 - 334 ページ
...in 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 be the...

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

Alexander Ingram - 1799 - 374 ページ
...34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made...

Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 306 ページ
...fquareg of AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to...

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

Robert Simson - 1804 - 530 ページ
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times the rectangle 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...

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

John Playfair - 1806 - 320 ページ
...the lines." ,, PROP. VIII. THEOR. .• 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, are equal to the square of the straight line which is made...

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

John Mason Good - 1813 - 714 ページ
...of the other part. Prop. VIII. Theor. 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...

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

Euclides - 1816 - 588 ページ
...straight line, &c. QED PROP. VIII. THEOfc. 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...

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 454 ページ
...given circle DPE. PROP. XXIV. 114. Problem. To divide a given finite straight line into two parts, such that the rectangle, contained by the whole line and one of the parts, shall most exceed the square of that part. Let AB be the given finite straight line ; it is required...




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