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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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The Intuitions of the Mind Inductively Investigated

James McCosh - 1882 - 451 Seiten
...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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 Seiten
...certainly be 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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The Practical Teacher; with which is Incorporated the Practical ..., Band 2

Joseph Hughes - 1883
...Which of them are required in the construction of the first proposition ? The postulates are :— (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 the first...
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The Practical Teacher, Band 2

1883
...Which of them are required in the construction of the first proposition ? The postulates are : — (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 the first...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 Seiten
...quadrilateral, 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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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...GLASGOW : J. MENZIBS AND CO. / ;f. Stctefs Specific Subjects. ZEJTJOLIID. [FIBST YEAE.] POSTULATES. I. Let it be granted that a straight line may be drawn...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 Living Age ..., Band 161

1884
...one 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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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...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 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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An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884
...called 'Postulates,' 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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