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" POSTULATES. 1. LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any... "
An essay on mechanical geometry, explanatory of a set of models - Page 10
by Benjamin Donne - 1796
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...joining two of its opposite angles. POSTULATES.1 Let it be granted :— 1. That a Straight Line may be drawn from. any one point to any other point. 2. That a Terminated Straight Line may be produced to any length in a straight line. 3. And that a Circle may be described...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...of the typical theorem in (42). POSTULATES. 45. Let it be granted — 1. That a straight lino may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any distance in a straight line. 3. That a circle may be described...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...converse proposition is true. 81. 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 a circumference...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...has its opposite sides parallel. THE POSTULATES. Let it be granted, 1. That a straight line may be drawn from any one point to any other point. 2. That a finite, tltat is to say a terminated, straight line may be produced to any length in that straight...
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The Grammar of Philosophy: A Study of Scientific Method

David Graham - Common sense - 1908 - 408 pages
...man who should ask admittance to their society on auti-Common-Sense principles ! straight line may be drawn from any one point to any other point ; (2) that a terminated straight line may be produced to any length in a straight line ; (3) that a circle may be described...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...processes mentioned below may be duly performed. Let it be granted : 1. That a straight line may be drawn from any one point to any other point. 2. That a FINITE (or terminated) straight line may be PRODUCED (that is, prolonged] to any length in that straight...
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Winston's Cumulative ... Encyclopedia: A Comprehensive Reference Book, Volume 8

Encyclopedias and dictionaries - 1918 - 540 pages
...constructed his elements on the three following postulates : 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle may be described from...
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Winston's Cumulative Loose-leaf Encyclopedia: A Comprehensive ..., Volume 8

Thomas Edward Finegan - Encyclopedias and dictionaries - 1922 - 666 pages
...constructed his elements on the three following postulates : 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle may be described from...
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XX Century Cyclopaedia and Atlas: Biography, History, Art, Science ..., Volume 6

Ainsworth Rand Spofford, Charles Annandale - Encyclopedias and dictionaries - 1901 - 594 pages
...constructed his elements on the three following postulates : 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle may be described from...
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