 | Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 or equal things, are equal to one another. II. If... | |
 | Euclides - 1846 - 292 pages
...POSTULATESLet it be granted, i. 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 : in. That a circle may be described from any centre, at any distance from that centre. AXIOMS. i.... | |
 | Euclides - 1847 - 128 pages
...do not meet. 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...line may be produced to any length in a straight line : and 3. That a circle may be described from any centre, at any distance from that centre. A postulate... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...remark or observation made upon something going before it, and may require a demonstration or may not. Axioms. 1. Things which are equal to the same thing are equal to one another. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
 | Euclides - 1848 - 52 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. HI. And that a circle may be described from any centre at any distance from that centre. AXIOMS. I.... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...V. PROBLEMS. Postulates. 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight lin.e may be produced to any length in a straight line. 3. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
 | Euclid, Thomas Tate - 1849 - 120 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 centre, at any distance from that centre. AXIOMS. i.... | |
 | Euclides - 1852 - 152 pages
...POSTULATES. L 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. III. And that a circle may be described from any centre, at any distance from that centre. [These three... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...do not meet. 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...centre. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken... | |
 | Euclides - 1853 - 146 pages
...POSTULATES. 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. in. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i.... | |
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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... 
