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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 220
by James Bates Thomson - 1844 - 237 pages
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The Intuitions of the Mind Inductively Investigated

James McCosh - Intuition - 1882 - 472 pages
...definitions and in the propositions founded on them, such as the following, put in the form of maxims: "A straight line may be drawn from any one point to any other point ;" "A straight line may be produced to any length in a straight line ;" " There may be such a figure...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...Two straight lines that have two points in common lie wholly 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...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...quadrilateral ABCD. sides \ Book I.] DEFINITIONS, POSTULATES, AXIOMS. 11 POSTULATES. Let it be granted : 1. That a straight line may be drawn from any one...terminated straight line may be produced to any length either way. 3. That a circle may be described with any centre, and at any distance from that centre....
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...This Convention is embodied in the following POSTULATES OF 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...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...straight line parallel to a given straight line. POSTULATES OF 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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...AND CO. / ;f. Stctefs Specific Subjects. ZEJTJOLIID. [FIBST YEAE.] 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...
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An introduction to the Elements of Euclid, being a familiar explanation of ...

Stephen Thomas Hawtrey - 1884 - 184 pages
...asks to be allowed to do (from postidare, to ask). He says, Let it be granted, 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...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...Postulate 3. A circle may be described from any centre, and at auy distance from that centre. Postulate 1. A straight line may be drawn from any one point to any other. Definition 15. A circle is a plane figure contained by one line, which is called the circumference,...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...less than, greater than, or equal to, the radius. POSTULATES. Let it be granted that — i. A right line may be drawn from any one point to any other point. "When we consider a straight line contained between two fixed points which are its ends, such a portion...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...straight angles are equal to one another. IV. The Assumed Constructions. 100. Let it be granted that a line may be drawn from any one point to any other point. 101. Let it be granted that a sect or a terminated line may be produced indefinitely in a line. 102....
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