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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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Side 5
av Robert Simson - 1827 - 513 sider
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 sider
...kinds of magnitudes, and not necessarily restricted, as are the Postulates, to geometrical magnitudes. AXIOMS. I. Things which are equal to the same thing are equal to one another. II. If equals he added to equals, the wholes are equal. III. If equals be taken from equals, the remainders are equal....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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

Moffatt and Paige - 1879 - 428 sider
...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 may be described from any centre, at any distance from that centre. AXIOMS. (1) Things...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...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 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 - 1880 - 178 sider
...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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...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 circle may be described from any centre, at any distance from that centre. AXIOMS....
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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...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...
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The Intuitions of the Mind Inductively Investigated

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

Euclid, Isaac Todhunter - 1883 - 428 sider
...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 circle may be described from any centre, at any distance from that centre AXIOMS. 1....
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 sider
...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 may be described from any centre, at any distance from that centre. These Postulates...
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