 | Euclides - 1861 - 464 pages
...circle. 3, 1. From the greater of two given lines to cut off a part equal to the less. Pst. 3 and 1. A circle may be described from any centre at any distance from that centre. A st. line may be drawn from any one point to any other point. DEM. 15, 1. A circle is a plane figure... | |
 | Euclides - 1862 - 140 pages
...caOed trapeziums. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight...may be produced to any length in a straight line. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added... | |
 | Euclides - 1862 - 172 pages
...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. AXIOMS. I. Things which are equal to the same thing, are equal to one another. II. If equals be... | |
 | Euclides - 1863 - 74 pages
...Euclid, p. 44. POSTULATES. 1. Let it be granted, that a straight line may be drawn from any one point to any other point: 2. That a terminated straight...from any centre at any distance from that centre. The first and second Postulates concede the use of a ruler, but not of a scale ; the third, that of... | |
 | Euclides - 1863 - 122 pages
...produced Parallel straight lines are such as are in ever so far both ways do not meet "" POSTULATES. '1. That a terminated straight line may be produced to any length in a straight line. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 3. And... | |
 | Euclides - 1864 - 448 pages
...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 circle may be described from any eenter, at any distance from that center. AXIOMS. ,... | |
 | Euclides - 1865 - 402 pages
...other point. IL That a terminated straight line may be prodnced to any length in a straight line. HI. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. L Things -which are equal to the same thing, are equal to one another. II. If equals be added to equals,... | |
 | Robert Potts - 1865 - 528 pages
...POSTULATES. I. 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. m. And that a circle may be described from any center, at any distance from that center. AXIOMS. I.... | |
 | Walter Marsham Adams - 1866 - 114 pages
...(or at least his translator) uses the word in a somewhat similar way. " Let it be granted," he says, "that a circle may be described from any centre, at any distance from that centre." How can the whole surface be at a distance from the centre when the centre itself is in the surface?... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...universally adopted.] 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...centre, at any distance from that centre. AXIOMS. 1. Tiiings which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
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Let it be granted 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. 3. And that a circle may be described from any centre, at any distance from... 
