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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 - Σελίδα 4
των Euclides - 1853 - 147 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...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...

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...

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...

Lexicon Scientiarum: A Dictionary of Terms Used in the Various Branches of ...

Henry McMurtrie - 1847 - 246 σελίδες
...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...

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....

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

Euclid, Thomas Tate - 1849 - 108 σελίδες
...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....

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...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...

An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 σελίδες
...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....

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...

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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