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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 geometry; or, The first six books, with the eleventh and ... - Page 5
by Euclides - 1855
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...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 - Encyclopedias and dictionaries - 1847 - 246 pages
...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 - 52 pages
...parallel : and 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 from any one point to any other point. II. That a terminated straight line may be produced to any length in a straight line. HI. And that...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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 may be produced to any length in a straight line. m. And that a...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...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 - Nautical astronomy - 1851 - 702 pages
...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 - 272 pages
...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
...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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...being applied the one to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged, in a straight line,...
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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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