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" LET it be granted that a straight line may be drawn from any one point to any other point. "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 44
by Euclides - 1858
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...point of bisection. 3. An angle has one and only one bisector. POSTULATES. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be described...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...into three equal parts ; to find two mean proportionals between two given lines, etc. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. From the greater of...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...to all its parts taken together. 47. POSTULATES. Let it be granted — 1. That a straight line can be drawn from any one point to any other point. 2. That a straight line can be produced to any distance, or can be terminated at any point. 3. That the circumference...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...point of bisection. 4. An angle has one and only one bisector. POSTULATES. Let it be granted that i. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be described...
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...12. Two straight lines which intersect each other can not both be parallel to the same straight line. Postulates. 1. Let it be granted that a straight line may be drawn from one point to another; 3. And that a circle may be described from any point as centre, and with any...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...is the sum of the lines which, bound it. The perimeter of a circle is its circumference. Postu1ates. 1. Let it be granted that a straight line may be drawn from any point to any other point; 2. That a terminated straight line may be produced to any length in a straight...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...STRAIGHT LINES are such as are in the same plane, and which, being continually produced, never meet. POSTULATES. 1. Let it be granted that a straight line...may be drawn from any one point to any other point. That a terminated straight line may be produced to any length in a straight line. 3. That a circle...
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The Gentleman's Magazine, Volume 248

English periodicals - 1880 - 790 pages
...has its centre everywhere and its circumference nowhere. Let it be granted, says the first postulate, that a straight line may be drawn from any one point to any other point ; the second says, let it be granted that any finite line may be produced to any distance in the same...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...to all its parts taken together. 47. POSTULATES. Let it be granted — 1. That a straight line can be drawn from any one point to any other point. 2. That a straight line can be produced to any distance, or can be terminated at any point. 3. That the circumference...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...of a polygon is the sum of the lines which bound it. The perimeter of a circle is its circumference. Postulates. 1. Let it be granted that a straight line may be drawn from any point to any other point; 2. That a terminated straight line may be produced to any length in a straight...
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