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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 11
av Euclid, Robert Simson - 1821 - 516 sider
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...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 from any centre, with a radius equal to any finite straight line. SECTION...
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The World's Cyclopedia of Biography, Volum 3

1883
...straight and crooked would have no more meaning to him than red and blue to the Wind. The axiom, that things which are equal to the same are equal to one another, is only a particular case of the predication of similarity ; if there were no impressions, it is obvious...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...POSTULATES. I. Let it be granted that a straight line may be drawn from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. III. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...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 from any centre at any distance from that centre. In Postulate...
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The Living Age, Volum 161

1884
...point [line through the eye] to any other puint [plane determined by two lines through the eye]. II. That a terminated straight line may be produced to any length in a straight line [plane through intersecting lines may be produced beyond these lines]. III. And that a circle may be...
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An introduction to the Elements of Euclid, being a familiar explanation of ...

Stephen Thomas Hawtrey - 1884
...Postulate 1.—That a straight line may be drawn from any one point to any other point: Postulate 2.—That a terminated straight line may be produced to any length in a straight line: Postulate 3.—That a circle maybe described from any centre at any distance from that centre. In other...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...bisected. Postulate 1. A straight line may be drawn from any one point to any other point. ' ' Postulate 2. A terminated straight line may be produced to any length in a straight line. Proposition III. From the greater of two given straight lines a part may be cut off equal to the less....
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...CONSTRUCTION. 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 drawn with any centre, with a radius equal to any finite straight line. DEF. 41....
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The elements of plane geometry, Volum 1

Mathematical association - 1884
...CONSTRUCTION. 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 drawn with any centre, with a radius equal to any finite straight line. H 2 BOOK...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 42

W. J. C. Miller - 1885
...that it " lies evenly between its extreme points "; but in Postulate ii. he says, " Let it be granted, that a terminated straight line may be produced to any length in a straight line," and this gives us the idea of an infinite straight line. But do we require more than two infinite straight...
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