 | Robert Potts - 1868 - 434 Seiten
...POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. IL That a terminated straight line may be produced to any length in a straight line. m. AXIOMS. I. THINGS which are equal to the same thing are equal to one another. II. If equals be added... | |
 | Mary Elizabeth Braddon - 1868 - 664 Seiten
...certain Axioms. He tells the tyro that a point is that which hath no parts, or which hath no magnitude ; that a terminated straight line may be produced to any length in a straight line ; that if equals be taken from equals, the remainders are equal, and that things which are doable of... | |
 | Euclides - 1871 - 136 Seiten
...POSTULATES. Let it be granted I. 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. That a circle may be described from any centre at any distance from that centre. IV. That all... | |
 | Elias Loomis - 1871 - 302 Seiten
...BOOK V PROBLEMS Postulates. 1 A a'.raight line may be drawn from any one point to any other point. 2. A terminated straight line 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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 Seiten
...POSTULATES. Let it be granted I. 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. That a circle may be described from any centre at any distance from that centre. IV. That all... | |
 | William Alexander Myers - 1873 - 238 Seiten
...VR 2 — sin. 2 A. 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...may be produced to any length in a straight line. 3. And that a circle may be described from any center, and with any radius. 4. That no part of the circumference... | |
 | Henry Major - 1873 - 588 Seiten
...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. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things... | |
 | Barzillai Quaife - 1873 - 260 Seiten
...capable of being infinitely and eternally extended. 4. It is a Postulate of Geometry, that a given straight line may be produced to any length in a straight line ; which is the same thing as saying, that a straight line may be infinitely and eternally produced.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...ninety degrees. 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...described from any centre, with a radius equal to any finite straight line. AXIOMS. 1. Things which are equal to the same, or to equals, are equal to one... | |
 | William Alexander Myers - 1874 - 207 Seiten
...1/12 2 — sin. 2A 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...may be produced to any length in a straight line. 3. And that a circle may be described from any center, and with any radius. 4. That no part of the circumference... | |
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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. 
