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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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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...Let it be granted : 1. That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line. 3. That a circle may be described with any centre, and at any distance from that centre. AXIOMS. 1....
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Elementary geometry

James Maurice Wilson - 1878
...point of bisection. 4. An angle has one and only one bisector. POSTULATES. Let it be granted that i. 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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Elements of Plane Geometry, Teil 1

Thomas Hunter - 1878 - 132 Seiten
...lines which intersect each other can not both be parallel to the same straight line. Postulates. 1. Let it be granted that a straight line may be drawn from one point to another; 3. And that a circle may be described from any point as centre, and with any...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...given, and some remarks will be made on their nature afterwards.] 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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...plane, and which, being produced ever so far both ways, do not meet. 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 Seiten
...the sum of the lines which, bound it. The perimeter of a circle is its circumference. Postu1ates. 1. Let it be granted that a straight line may be drawn from any point to any other point; 2. That a terminated straight line may be produced to any length in a straight...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 Seiten
...are such as are in the same plane, and which, being continually produced, never meet. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. That a terminated straight line may be produced to any length in a straight line. 3. That a circle...
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The Gentleman's Magazine, Band 248

1880
...has its centre everywhere and its circumference nowhere. Let it be granted, says the first postulate, that a straight line may be drawn from any one point to any other point ; the second says, let it be granted that any finite line may be produced to any distance in the same...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 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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Class lessons on Euclid

Marianne Nops - 1882
...word is translated in the old editions of Euclid, come next. In the first three Euclid asks : — 1. ' That a straight line may be drawn from any one point to any other.' 2. ' That a terminated straight line may be produced to any length in a straight line.' 3. ' That a...
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