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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... "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - Página 153
por Royal Military Academy, Woolwich - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 páginas
...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...
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Elements of Algebra for the Use of Students in Universities: To which is ...

William Trail - 1796 - 311 páginas
...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 páginas
...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...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 279 páginas
...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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. a 46. 1. Upon AB describe a the square ABDC ; bisect 1• AC in E, ami b 10. 1. jo1n BE ; produce CA...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...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...
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813 - 428 páginas
...required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813
...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...
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