| 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... | |
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