| Euclides - 1853 - 176 pages
...POSTULATES. L 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. And that a circle may be described from any centre, at any distance from that centre. AXIOMS.... | |
| William Somerville Orr - Science - 1854 - 532 pages
...other point. ii. That a terminated straight line may be prolonged to any length in a straight line. **And that a circle may be described from any centre, at any distance from that centre.** Things which are equal to the same thing are equal to one another. If equals be added to equals, the... | |
| Euclides - 1855 - 262 pages
...another point, the points are said to be joined. The points are understood to be in the samo plane. II. **That a terminated straight line may be produced to any length in a straight line.** By terminated here, is meant of a definite length ; 'and by produced is meant lengthened or extended... | |
| Robert Rawson - 1856 - 200 pages
...POSTULATES. r 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.** And that a circle may be described from any1 centre, at ar distance from that centre. AXIOMS. L Things... | |
| Peter Nicholson - Cabinetwork - 1856 - 482 pages
...other point : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, **That a circle may be described from any centre, at any distance** therefrom, or with any radius. THEOREM S. THEOREM 1. 48. If one right line, as CD, touch or cut another... | |
| Euclides - 1858 - 248 pages
...Euclid, p. 44. 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...from any centre at any distance from that centre.** The first and second Postulates concede the use of a ruler, but not of a scale ; the third, that of... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...V. PROS LEM.S. Postulates. 1. A straight 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 two straight lines, a part may be cut off equal to the less. 4. A circumference... | |
| Euclides - 1860 - 288 pages
...called a diagonal. 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...And that a circle may be described from any centre,** and with any radius. 1. Things which are equal to the same thing are equal to one another. 2. If equals... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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.** in. And that a circle may be described from any center, at any distance from that center. X AXIOMS.... | |
| James McCosh - History - 1860 - 512 pages
...in the form of maxims:—" A straight line may be drawn from any one point to any other point;" "A **straight line may be produced to any length in a straight line;"** "There may be such a figure as a circle, that is, a plane figure such that all straight lines drawn... | |
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