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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, and propositions i.-xxi. of ... - Page 9
by Euclides - 1885
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...being produced ever fo far both ways, do not meet. POSTULATES. I, LET it be granted that a ftraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. m. And that a...
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769 - 524 pages
...are parallel, it tolled a Parallelogram. Fig. 25. POSTULATES. I. JL/ET it be granted, that a ftraight line may be drawn from any one point to any other point. That a terminated ftraight line may be produced to any length in a ftraight line. III. And that a circle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...being produced ever fo far both ways, do not meet. POSTULATES. i. LET it be granted that 'a ftraight line may be drawn from any one point to any other point. That a terminated (traight line may be produced to any length in a ftraight line. III. And that a circle...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...each other on neither, are PARALLELS'. POSTULATES. i. Let it be taken for granted, that a ftraight line may be drawn from any one point to any other point. 2. And that a finite ftraight line may be produced in a ftraight line continually. 3. Alfo that a circle...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...being produced ever fo far both ways, do not meet. POSTULATES. I. LET it be granted that a ltraight line may be drawn from any one point to any other point. 'IJiaJt a terminated ftraight line may be produced to any length in a ftraight line. IIf; -And that...
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The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1789 - 474 pages
...found to refide in number and magnitude. PETITIONS or POSTULATES. I. Let it be granted that a flraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. III. And that...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...being produced ever fo far both ways, do not meet. POSTULATES. I, LET it be granted that a ftraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. III. And that...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...ever fo far both ways, do not »... — meet;, PO. POSTULATES. I. LET it be granted that a ftraight line may be drawn from any one point to any other point. That a terminated ftraight line may be produced to any length, in a ftraight line. III. And that a...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...being produced ever fo far both ways, do not meet. POSTULATES. I. ET it be granted that a ftraight line may be drawn from any one point to any other point. II. That a terminated ftraight line may be produced to any length in a ftraight line. HI. And that...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...opportunity of practical as well as mental improvement. 83. Postulate 1. If it be granted, that " a straight line may be drawn from any one point to any other point," it follows as an evident consequence, that a straight line can be drawn from the point A to the point...
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