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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 ... - Side 5
av Robert Simson - 1762 - 466 sider
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Science and Industry: 1898-99, Volum 3

1899 - 676 sider
...— THK THEORY or INVERSION — PE.UTELLIER'S EXACT MECHANISM. three postulates are: "I. A Ly right line may be drawn from any one point to any other point." "II. A terminated right line may he produced to any length in a right line." " III. A circle may be described...
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Punch, Volumer 116-117

Henry Mayhew, Mark Lemon, Tom Taylor, Shirley Brooks, Francis Cowley Burnand, Owen Seaman - 1899 - 810 sider
...possible, — is cut off a part equal to the less. QED " Let it be granted " by "powers" "that a railway line may be drawn from any one point to any other point," and that " profite may be produced to any amount," and the results must be satisfactory. The Chairman...
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Popular Astronomy, Volum 8;Volum 1900

1900 - 632 sider
...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 - 354 sider
...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 - 328 sider
...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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Self-help Mechanical Drawing: An Educational Treatise

Nehemiah Hawkins - 1903 - 328 sider
...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, Bok 1

Euclid - 1904 - 488 sider
...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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A School Geometry, Deler 1-4

Henry Sinclair Hall - 1908 - 286 sider
...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 - 410 sider
...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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Mysticism in Modern Mathematics

Hastings Berkeley - 1910 - 279 sider
...to say anything in essence different from what Euclid says in the first postulate, that a straight line may be drawn from any one point to any other point ? Personally I find no essential difference between the two ; but this is no doubt due to the unusual...
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