| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...certainly be convenient if this restriction were 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 line may be produced to any length in a straight line : 3. And that... | |
| William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...assumed, or taken for granted. Euclid lias constructed his Elements on the three following postulates: 1. That a straight line may be drawn from any one point to any other point. 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...certainly be convenient if this restriction were 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 line may be produced to any length in a straight line : 3. And that... | |
| Robert Potts - 1868 - 434 pages
...the diameter, or the diagonal is the straight liue joining two of its opposite angles. 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.... | |
| 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... | |
| James Smith - 1870 - 634 pages
...that his first problem (Prop. I, Book 1) should be based upon the simplest of the postulates, viz. : " Let it be granted, that a straight line may be drawn from any one point to any other point" Thus, Euclid begins by showing us how to construct an equilateral triangle. There can be no doubt that... | |
| Euclides - 1871 - 136 pages
...construction of figures and the properties of geometrical mag--tudes. 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... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...which is contained an exact number of times in each of them. 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...construction of figures and the prqperties pf geometrical magnitudes. 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... | |
| Edward Atkins - 1876 - 130 pages
...joining two of its opposite angles. All other four-sided figures are called 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 line may be produced to any length in a straight line. 3. And that a... | |
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