| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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