| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 that centre. AXIOMS. 1. Tiiings which are equal to the same thing are equal to one another. 2. If equals be added to equals... | |
| William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...other point. 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle may be described from any centre at any distance from that centre. (Playfair's Knclid.) Pot Metal. An alloy of copper and lead. The term is also sometimes applied to... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 : 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS.... | |
| William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...following postulates: 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. 3. That a circle may be described from any centre at any distance from that centre. (Playfair's Eac/iii.)... | |
| Robert Potts - 1868 - 434 pages
...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 - English periodicals - 1868 - 664 pages
...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 - 1870 - 270 pages
...PEOB. To describe an equilateral triangle upon a given finite straight line. SOLUTION. — Pst. 3. A circle may be described from any centre at any distance from that centre. Pst. 1. A straight line may be drawn from any one point to any other point. DEMONSTRATION. — Def.... | |
| Euclides - 1871 - 136 pages
...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 right... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...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 - Geometry - 1872 - 376 pages
...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 right... | |
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