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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 ... - Pàgina 5
per Robert Simson - 1762 - 466 pàgines
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pàgines
...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 - 252 pàgines
...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 - 272 pàgines
...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 - 674 pàgines
...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 - 152 pàgines
...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 - 48 pàgines
...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 - 176 pàgines
...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 - 400 pàgines
...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 - 146 pàgines
...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: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 pàgines
...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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