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" 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 distance from... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 11
by John Playfair - 1855 - 318 pages
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Intuitions of the Mind: Inductively Investigated

James McCosh - Intuition - 1882 - 472 pages
...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 as a circle, that is, a plane figure such that all straight lines drawn...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...Which of them are required in the construction of the first proposition ? The postulates are : — (2) That a terminated straight line may be produced...from any centre at any distance from that centre. In the first proposition the third postulate is required in describing the circles and they.-'; .>•.'...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...postulates. Which of them are required in the construction of the first proposition ? The postulates are :— (2) That a terminated straight line may be produced...from any centre at any distance from that centre. In the first proposition the third postulate is required in describing the circles and the▀rsi in...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...consecutive. Postulates. 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...may be produced to any length in a straight line. 3. That a circle may be described from any centre, at any distance from that centre. These Postulates...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...I demand. POSTULATES. 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...from any centre at any distance from that centre. In Postulate 2, ' produced ' means lengthened out. In Postulate 3, ' described ' means drawn. After...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...AXIOMS. 11 POSTULATES. 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 either way. 3. That a circle may be described with any centre, and at any distance from that centre....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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. A...
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Littell's Living Age, Volume 161

American periodicals - 1884 - 860 pages
...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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