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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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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...called trapeziums. Postulates. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight...centre, at any distance from that centre. Axioms. 1. Tilings which are equal to the same thing are equal to one another. 2. If equals be added to equals...
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Errors of Speech and of Spelling, Volume 2

Ebenezer Cobham Brewer - English language - 1877 - 844 pages
...drawn from one point to another. 2. That a straight line may be produced to any required length. 3. That a circle may be described from any centre, at any distance from that centre. Lat. pott&UMriiu, jxuKUdfwn, pOtWMn (posco, to demand). Posture, p8'.tchttr, attitude, position ;...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...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. Things...
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Elementary geometry

James Maurice Wilson - 1878 - 450 pages
...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 described from any centre, with a radius equal to any finite straight line. It will...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...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...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. AXIOMS. 1. Things...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...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...be produced to any length in a straight line ; 3. That a circle may be described from any centre, with a radius equal to any given line. Axioms. 1. Things...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 pages
...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...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. AXIOMS. (1) Things...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 may be described from any centre, at any distance from that centre. The Postulates are...
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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881 - 380 pages
...a supposition made either in the enunciation of a proposition, or in the course of a demonstration. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. The whole is greater than its part. 3. The whole is equal to the sum of all its parts. 4. From one...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...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 circle may be described from any centre at any distance from that centre.' Postulates 4 and...
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