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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 Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 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. III. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1873 - 238 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 center, and with any radius. 4. That no part of the...
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The intellectual sciences; outline lects, Volum 1

Barzillai Quaife - 1873 - 260 sider
...capable of being infinitely and eternally extended. 4. It is a Postulate of Geometry, that a given straight line may be produced to any length in a straight line ; which is the same thing as saying, that a straight line may be infinitely and eternally produced....
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 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. Axioms. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...taken for granted : That a straight line may be drawn from any one point to any other point; And also that a terminated straight line may be produced to any length in a straight line. A superficies has length and breadth but not thickness. The extremities of superficies are lines. A...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 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 center, and with any radius. 4. That no part of the...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 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 Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 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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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 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, with a radius equal to any finite straight line....
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