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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 Seiten
...are in the same plane, and which, 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 Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...same plane, and, being produced ever so far both ways, do not meet. POSTULATESLet it be granted, i. 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. That a...
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...plane; and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted, 1. 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 : and 3. That...
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Lexicon Scientiarum: A Dictionary of Terms Used in the Various Branches of ...

Henry McMurtrie - 1847 - 246 Seiten
...distilled water. 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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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...the diameter or the diagonal is the straight line joining two of its opposite angles. POSTULATES. I. LET it be granted that a straight line may be drawn...may be produced to any length in a straight line. HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 Seiten
...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...may be produced to any length in a straight line. m. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 Seiten
...line which 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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An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 Seiten
...lines intersect each other, they 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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Lexicon Scientiarum: A Dictionary of Terms, Etc

Henry McMurtrie - 1851
...distilled water. 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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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...has one pair of opposite sides parallel. Fig. 4. 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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