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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 5
von Robert Simson - 1762 - 466 Seiten
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 Seiten
...line joining the vertices of two opposite angles. 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...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Band 3

William Thomas Brande, George William Cox - 1867 - 1088 Seiten
...granted. Euclid has constructed his Elements on the three following postulates: 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...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Band 3

William Thomas Brande, George William Cox - 1867 - 1090 Seiten
...granted. Euclid lias constructed his Elements on the three following postulates: 1. That a straight line may be drawn from any one point to any other point. 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...convenient if this restriction were universally adopted.] 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. And that...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 Seiten
...the solution of which ia belf evident. POSTULATES. Let it be granted — I. That a straight line can be drawn from any one point to any other point ; II. That a straight line can be produced to any distance, or terminated at any point ; III. That the circumference...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...straight liue joining two of its opposite angles. POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. IL That a terminated straight line may be produced to any length in a straight line. m. AXIOMS. I....
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The ratio between diameter and circumference in a circle demonstrated by ...

James Smith - 1870 - 634 Seiten
...1) should be based upon the simplest of the postulates, viz. : " Let it be granted, that a straight line may be drawn from any one point to any other point" Thus, Euclid begins by showing us how to construct an equilateral triangle. There can be no doubt that...
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Elements of geometry, containing the first two (third and fourth ..., Teil 1

Euclides - 1871 - 136 Seiten
...figures and the properties of geometrical mag--tudes. POSTULATES. Let it be granted I. 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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 Seiten
...which is contained an exact number of times in each of them. BOOK V PROBLEMS Postulates. 1 A a'.raight 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. From the greater...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...figures and the prqperties pf geometrical magnitudes. POSTULATES. Let it be granted I. 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...
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