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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Page 6
by Euclid, John Playfair - 1795 - 400 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...XXXIV. Book I. All other four fided figures befides thefe, are called Trapeziums. XXXV. Parallel Araight lines, are fuch as are in the fame plane, and which...may be produced to any length in a ftraight line. m. And that a circle may be defcribed from any center, at any diftance from that center. AXIOMS. I...
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Instructions Given in the Drawing School Established by the Dublin Society ...

Joseph Fenn - Mathematics - 1769 - 536 pages
...parallel, it called a Parallelogram. Fig. 25. Fig. i A В с A Fig.2 E ..... В POSTULATES. I. JL/E Т it be granted, that a ftraight line may be drawn from any one point to any other point. ,П. 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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...the fame plane, and which being produced ever fo far both ways, do not meet. POSTULATES. I. i LE T it be granted that a ftraight line may be drawn from...to any other point. II. That a terminated ftraight lme may be produced to any length in a ftraight line. -i III. And that a circle may be deferibed from...
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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 - 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 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...may be produced to any length in a ftraight line. HI. And that a circle may be defcribed from any center, at any diftance from that center. AXIOMS. I....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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. , III. And that a circle may be- described...
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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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. III. And that a circle may be described...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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. III. And that a circle may be described...
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