 | Robert Simson - 1806 - 546 σελίδες
...are in the same plane, and which 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... | |
 | 1825 - 618 σελίδες
...but it would not submit. I would have -demonstrated it mathematically, and commenced by assuming " that a straight line may be drawn from any one point to any other ; " but on finding my first corollary was, " the whole is greater than its part," I left the statement,... | |
 | John Mason Good - 1813 - 722 σελίδες
...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 irom that centre. jtiiams.—l. Things which are equal to the same ore equal to one another. 2. If... | |
 | Charles Butler - 1814 - 528 σελίδες
...to afford the student an 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... | |
 | Euclides - 1816 - 588 σελίδες
...are in the same plane, and which, 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... | |
 | John Playfair - 1819 - 350 σελίδες
...are in the same plane, and which, 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... | |
 | John Mason Good - 1819 - 800 σελίδες
...in the same plane, and which, being produced ever so far both ways, do not meet. Poitultii.ii. — 1. Let it be granted that a straight line may be drawn from any one point to lay other point. 5. That a terminated straight line may be produced to any length in a straight tine.... | |
 | Frederick Beasley - 1822 - 584 σελίδες
...points may be joined together by a right line, as that the first postulate is true, which requires it to be granted, that a straight line may be drawn from any one point to any other point? Does a recurrence to the postulate render the matter any more clear or incontrovertible? The same remark... | |
 | 1854 - 1110 σελίδες
...intelligible to ordinary minds on the threshold of science. Postulates.— 1. Let it be granted that a right line may be drawn from any one point to any other point. 2. That a terminated right line may be produced to any length in a right line. 3. And that a circle... | |
 | Peter Nicholson - 1823 - 210 σελίδες
...parallel to the same straight line, without coinciding with one another. 47. POSTULATES, OR DEMANDS. 1. Let it be granted that a straight line may be drawn from any one point to any other. 2. That a terminated straight line may be produced, or continued, to any length. 3. That a circle may... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
