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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 5
von Robert Simson - 1762 - 466 Seiten
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The Intuitions of the Mind Inductively Investigated

James McCosh - 1882 - 472 Seiten
...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 Seiten
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 Seiten
...convenient if this restriction were universally adopted.] 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 in a straight line : 3. And that...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 Seiten
...or any two angles of a polygon not 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 line may be produced to any length in a straight line. 3. That a circle...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 Seiten
...XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. 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...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 Seiten
...a given point a straight line may be drawn equal to a given straight line. Postulate 1. A straight line may be drawn from any one point to any other point. Proposition IV. If two triangles have two sides of the one equal to two sides of the other, each to...
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An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884 - 182 Seiten
...which is from a Latin word postulo, 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 line may be produced to any length in a straight line. 3. And that a...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 Seiten
...sides \ Book I.] DEFINITIONS, POSTULATES, 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...
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The elements of plane geometry, Band 1

Mathematical association - 1884 - 146 Seiten
...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...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...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...
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