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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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Popular Astronomy, Band 8;Band 1900

1900
...seen in its deformity and danger. Euclid says, under the heading " Postulates :" " I. It is assumed, that a straight line may be drawn from any one point to any other point. "III. And that a circle may be described with any center and radius." From these Euclid rigidly deduces...
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Hand Book of Calculations for Engineers and Firemen: Relating to the Steam ...

Nehemiah Hawkins - 1901 - 319 Seiten
...of which is self-evident. EXAMPLES OF 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, 01 terminated at any point; III. That the circumference...
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Self-help Mechanical Drawing: An Educational Treatise

Nehemiah Hawkins - 1902 - 287 Seiten
...problem, the solution of which is self-evident. • 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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Elementary Geometry: Plane

James McMahon - 1903 - 358 Seiten
...on a plane surface are expressed in the following construction postulates : Let it be granted: 1. ' That a straight line may be drawn from any one point to any other. 2. That a terminated straight line may be prolonged indefinitely. 3. That a circle may be described...
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Self-help Mechanical Drawing: An Educational Treatise

Nehemiah Hawkins - 1903 - 287 Seiten
...a problem, the solution of which is self-evident. 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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A Text-book of Euclid's Elements for the Use of Schools, Bücher 1

Euclid - 1904 - 456 Seiten
...is a four-sided figure which has its opposite sides parallel. THE POSTULATES. Let it be granted, 1. That a straight line may be drawn from any one point to any other point. 2. That a finite, tltat is to say a terminated, straight line may be produced to any length in that...
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The Grammar of Philosophy: A Study of Scientific Method

David Graham - 1908 - 383 Seiten
...anti-Common-Sense principles ! 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, — we must...
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A School Geometry, Teile 1-4

Henry Sinclair Hall - 1908
...assume that with their help the processes mentioned below may be duly performed. Let it be granted : 1. That a straight line may be drawn from any one point to any other point. 2. That a FINITE (or terminated) straight line may be PRODUCED (that is, prolonged] to any length in...
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The Grammar of Philosophy: A Study of Scientific Method

David Graham - 1908 - 383 Seiten
...Engineers say to a man who should ask admittance to their society on auti-Common-Sense principles ! 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...
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Logic, Inductive and Deductive: An Introduction to Scientific Method

Adam Leroy Jones - 1909 - 304 Seiten
...list: " Things which are equal to the same thing are equal to one another " ; and as a postulate : " A straight line may be drawn from any one point to any other point." " All right angles are equal to one another " has sometimes been classed as an axiom and sometimes...
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