 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 a circle may be described... | |
 | Robert Potts - 1868 - 434 pages
...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.... | |
 | James Smith - 1870 - 634 pages
...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... | |
 | 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 of... | |
 | Euclides - 1871 - 136 pages
...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... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...Accordingly, in geometry, the following postulates (or " things demanded ") are laid down. First postulate. Let it be granted, that a right line may be drawn from any given point to any other given point. Second postulate. Let it be granted, that a given finite right... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...— cos. 2 A, And cos. A — ± 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 line may be produced to any length in a straight line. 3. And that a circle may be described... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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. That a circle... | |
 | Euclides - 1874 - 342 pages
...straight line joining two of its opposite angles. 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 circle may be described... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
