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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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...POSTULATESLet it be granted, i. That a straight line may be drawn from any one point to any other point : n. That a terminated straight line may be produced to any length in a straight line : in. That a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 sider
...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 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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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 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 : and 3. That a circle may be described from any centre, at any distance from that centre. A postulate...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...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 may be produced to any length in a straight line. HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...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 may be produced to any length in a straight line. m. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 sider
...V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight lin.e may be produced to any length in a straight line. 3. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...POSTULATES. L LET .it be granted that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to...from any centre, at any distance from that centre. [These three postulates are equivalent in practice to allowing a pen, a ruler, and a pair of compasses....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 336 sider
...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. v • ,V AXIOMS. 1 . THINGS which are equal to the same thing are equal to one another. 2. If equals...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...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 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to any length in a straight line. in. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
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