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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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...XXXV. Parallel straight lines are such as 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. II. That a terminated straight line...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 sider
...is contained an exact number of times in each of them. BOOK V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight lin.e may be produced to any length in a straight line. 3. From the greater...
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Lexicon Scientiarum: A Dictionary of Terms, Etc

Henry McMurtrie - 1851
...POS'TULATE, Geom., Lat., postulare, to demand. Something assumed or taken for granted, as that a straight line may be drawn from any one point to any other point. POTAS'SIUM, Chem., Pot-ashes, so called from the pot or vessel in which they are made. A Metal obtained...
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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 sider
...cannot both be parallel to the same straight line. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. .2. That a straight line may be produced to any length in the same direction. INTRODUCTION. THEOREMS....
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...Fig. 5. Fiy. 5. has no pair of parallel sides.] 1 POSTULATES. L LET .it be granted that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to any length in a straight line. III. And that...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...opposite angles, is called the diagonal or diameter. 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. That a circle may...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...being produced ever so far both ways, do not meet. POSTULATES. L Let it be granted 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. And that a circle may be described...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...being produced ever so far both ways, do not meet. 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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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point. n. That a terminated straight line may be produced to any length in a straight line. in. And that a...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...opposite corners, or vertices, is called a diagonal. POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point. ii. That a terminated straight line may be prolonged to any length in a straight line. And that a circle may be described...
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