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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...in the same plane, and which, being produced ever so far both ways, do not meet. N. * POSTULATES. I. LET it be granted that a straight line may be drawn...may be produced to any length in a straight line. HI. And thai a circle may be described from any centre, at any distance from that centre. AXIOMS. ,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
.... Let it b* granted that a straight line ir.ay be drawn froir. 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 irom that centre. jtiiams.—l....
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Evangelical Magazine and Missionary Chronicle, Band 3

1825
...but it would not submit. I would have -demonstrated it mathematically, and commenced by assuming " that a straight line may be drawn from any one point to any other ; " but on finding my first corollary was, " the whole is greater than its part," I left the statement,...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Band 2

Charles Butler - 1814
...to afford the student an opportunity of practical as well as mental improvement. 83. Postulate 1. If it be granted, that " a straight line may be drawn from any one point to any other point," it follows as an evident consequence, that a straight line can be drawn from the point A to the point...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...in the same plane, and which, being produced ever so far both ways, do not meet. • V POSTULATES. " LET it be granted that a straight line may be drawn from any one point to any other point. V H. . That a terminated straight line may be produced to any length in a straight line. HI. And that...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819
...the same plane, and which, being produced ever so far both ways, do not meet. Poitultii.ii. — 1. Let it be granted that a straight line may be drawn from any one point to lay other point. 5. That a terminated straight line may be produced to any length in a straight tine....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 Seiten
...are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. 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. III. And that a circle...
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A Search of Truth in the Science of the Human Mind, Part First, Band 1

Frederick Beasley - 1822 - 561 Seiten
...points may be joined together by a right line, as that the first postulate is true, which requires it to be granted, that a straight line may be drawn from any one point to any other point? Does a recurrence to the postulate render the matter any more clear or incontrovertible? The same remark...
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The Youth's instructer [sic] and guardian, Band 14

1854
...intelligible to ordinary minds on the threshold of science. Postulates.— 1. Let it be granted that a right line may be drawn from any one point to any other point. 2. That a terminated right line may be produced to any length in a right line. 3. And that a circle...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 596 Seiten
...parallel to the same straight line, without coinciding with one another. 47. POSTULATES, OR DEMANDS. 1. Let it be granted that a straight line may be drawn from any one point to any other. 2. That a terminated straight line may be produced, or continued, to any length. 3. That a circle may...
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