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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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pagina’s
...PROPOSITION I. PROBLEM. To describe an. equilateral triangle upon a given finite straight line. Let ABbe the given straight line. It is required to describe an equilateral triangle upon AB. c From the center A, at the distance AB, describe the circle BCD; (post. 3.) from the center...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pagina’s
...PROPOSIT1ON 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 AB. From the center A, at thedistance AB, describe the circle BCD; (post. 3.) from the center...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...PROPOSITION 1. PROBLEM. To describe an equilateral triangle on a given finite straight line. Let AB be the given straight line: it is required to describe an equilateral triangle on AB. From the centre A, at the distance AB, describe the circle BCD. [Postulate 3. Prom the centre B, at...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...PROPOSITION 1. PROBLEM. To describe an equilateral triangle on a given finite straight line. Let AB be the given straight line: it is required to describe an equilateral triangle on AB. From the centre A, at the distance AB, describe tho circle BCD. {Postulate 3. From the centre B, at...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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 A B. c From the center A, at the distance AB, describe the circle 'BCD ; (post. 3.) from the center...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1873 - 238 pagina’s
...on A B. The co usually follows straight lines and circles, which must be drawn in order to coi lion of the problem, or to furnish assistance in the demonstration of the theor hare the demonstration itself, which shows that the problem has been solved o rcm is true. struction...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pagina’s
...Proposition 1. — Prob1em. To describe an equilateral triangle on a given finite straight line. Let AB be the given straight line. It is required to describe an equilateral triangle on AB. CONSTRUCTION. — From thecentre A, at the distance AB, describe the circle BCD (Post.1 3). From the...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 pagina’s
...is repeated and applied to the particular figure which is to he considered, as for example : Let AB be the given straight line; it is required to describe an equilateral triangle on A B. The construction then usually follows straight lines and circles, which must be drawn in order...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pagina’s
...PROPOSITION 1. — 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 AB. f Construction. From the centre A, at the distance AB, describe the circle BCD (Postulate...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 pagina’s
...straight lines radii. PROBLEM A. 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 AB. With A as centre, and radius AB, describe the circle BCD, and with B as centre and radius...
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