 | John Keill - Geometry - 1782 - 476 pages
...in the fame Plane, which, if infinitely produced both Ways, would never meet. POSTULATES. I. (^R ANT that a Right Line may be drawn from any one Point to another. II. That a finite Right Line may be continued direftly forwards. III. And. that a Circle may... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...one which ftands at the angular point, muft * always be placed in the middle. POST UPOSTULATES. • 1. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line.... | |
 | 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... | |
 | 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... | |
 | Benjamin Donne - 1796 - 120 pages
...granted, to prevent cavils. Euclid's poftulates 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... | |
 | 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... | |
 | John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...of three letters, the one which ftands at the angular point, muft always be placed in the middle. i POSTULATES. :! 1. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line.... | |
 | John Bonnycastle - 1803 - 306 pages
...letters, the one which ftand» at the angular point, muft always be placed in the middle. POSTULATES. J. Let it be granted that a right line may be drawn from any one given point to another. 2. That a terminated right line, may be produced to any length in a right line.... | |
 | 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... | |
 | 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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LET it be granted that a straight line may be drawn from any one point to any other point. 
