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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Instructions Given in the Drawing School Established by the Dublin Society ... - Page 8
by Joseph Fenn - 1769
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...in the fame plane, and which 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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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...in the fame plane, and which, 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 may be defcribed...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...towards both, lides meet 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 - 550 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 - 482 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
...in the fame plane, and which, 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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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 118 pages
...are, 1. Let it be granted, that a ftraight line may he drawn from any one point to any other point. 2. That a terminated ftraight line may be produced to any length, in a ftraight line. 3That a circle may be defcribed from any center, at any diftance from that center. Tothefe of Euclid...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...plane, and which, being produced ever fo far both ways, do not ... — meet;, PO. POSTULATES. I. LET it be granted that a ftraight line may be drawn from...in a ftraight line. III. And that a circle may be dei'cribed from any centre, at any diftance from that centre. ' AXIOMS. I. THINGS which are equal to...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...in the fame plane, and which, 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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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...I. LET it be granted that a ftraight line may be drawn from any one point to any other point. IIThat a terminated ftraight line may be produced to any length in a ilraight line. III. And that a circle may be defcribed from any centre, at any diftance from that centre....
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