 | Euclides - 1865 - 402 pages
...as are in the same plane, and 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... | |
 | Robert Potts - 1865 - 528 pages
...and a diameter, or a diagonal is a 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... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...the solution of which is self-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... | |
 | Edward Clarke Lowe - 1866 - 172 pages
...; and the diagonal is the straight 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
...drawing straight lines 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 - 1090 pages
...assumed, or taken for 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 - 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... | |
 | 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... | |
 | 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... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
