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" PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let AB be the given straight line. It is required to describe an equilateral triangle upon AB, From the centre A, at the distance AB, describe the circle BCD... "
The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ... - Pagina xv
door Isaac Todhunter - 1880 - 400 pagina’s
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...PROPOSITION I. PROBLEM. TO describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. o From the centre A, at the distance AB, describe the circle BCD, and from the centre B,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pagina’s
...PROPOSITION I. PROBLEM. TO describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB, desa 3. Postu- scribea the circle BCD, Me" and from...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - 1814
...describe an equilateral triangle upon a given straight line. (See the figure in Euclid.) !Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. In Euclid it is " a given finite straight line ;" here the word " finite" is superfluous,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pagina’s
...PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a givenfinite straight lint. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB, describe (3. Postulate) the circle BCD, dhd from the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pagina’s
...Proposition I. Problem. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB, describe (3 Postulate) the cirele BCD, and from the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pagina’s
...PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon AB. From the centre A, at the distance AB, describe * the circle BCD, and from the centre B, at...
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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 pagina’s
...I. PROBLEM. To describe an equilateral triangle on a given finite straight line. See JVo/e. Let AB be the given straight line; it is required to describe an equilateral triangle on it. From the centre A, at the distance AB, describe the circumference of the circle BCD (3 Postulate);...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 pagina’s
...expressed. See Note. PROBLEM. — To describe an equilateral triangle upon a given straight line. Let AB be the given straight line. It is required to describe an equilateral triangle upon it. C About the centre A, with the radius AB. de•IHTERC.13. ., , . . „,,_. - . Cor. 3. scribe*...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pagina’s
...PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the dis3. Postu- tance AB, describe a the circle BCD, andfrom the centre...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 pagina’s
...PROPOSITION I. PROBLEM.f To describe an equilateral triangle on a given finite straight line.t Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. Let AB be perpendicular to CD, and EF to GH. then the angles ABD, EFH are equal. For let the...
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