 | Robert Potts - 1865 - 528 pages
...straight linn 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. n. That a terminated straight line may be produced to any length in a straight line. m. And that a... | |
 | Euclides - 1865 - 402 pages
...which being prodnced ever so far both ways do not meet. POSTULATES. L 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 prodnced to any length in a straight line. HI. And that a... | |
 | Euclides - 1865 - 80 pages
...a straight line from the one of them to the other. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a straight line may be produced in a straight line to any required length. 3. That a circle... | |
 | Edward Clarke Lowe - 1866 - 172 pages
...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... | |
 | Walter Marsham Adams - 1866 - 114 pages
...or circles, and we can only assume the power. " Let it be granted," says Euclid, " that a straight line may be drawn from any one point to any other point," and " that a circle may be described," &c. As it is impossible to learn to swim without going into... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1088 pages
...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... | |
 | 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... | |
 | William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...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... | |
 | 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... | |
| |
Let it be granted that a straight line may be drawn from any one point to any other point. 
