 | Edward Clarke Lowe - 1866 - 172 σελίδες
...line joining the vertices of two 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... | |
 | William Thomas Brande, George William Cox - 1867 - 1090 σελίδες
...granted. Euclid has 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 line may be produced to any length in a straight line. 3. That a circle... | |
 | William Thomas Brande, George William Cox - 1867 - 1090 σελίδες
...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 - 1867 - 426 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1868 - 276 σελίδες
...the solution of which ia belf evident. POSTULATES. Let it be granted — I. That a straight line can be drawn from any one point to any other point ; II. That a straight line can be produced to any distance, or terminated at any point ; III. That the circumference... | |
 | Robert Potts - 1868 - 434 σελίδες
...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 σελίδες
...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 σελίδες
...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 may be described... | |
 | Elias Loomis - 1871 - 302 σελίδες
...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 - 1872 - 376 σελίδες
...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 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. 
