 | James Smith - 1870 - 634 pages
...that his first problem (Prop. I, Book 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... | |
 | Euclides - 1871 - 136 pages
...construction of 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...construction of 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. I. 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. That... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...sin. A = ± VR 2 — cos. 2 A, And cos. A — ± VR 2 — sin. 2 A. 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... | |
 | Euclides - 1874 - 120 pages
...angled parallelogram. 3. A Trapezium is a quadrilateral which has two of its sides parallel. 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... | |
 | Edward Atkins - 1874 - 426 pages
...joining two of its opposite angles. All other four-sided figures are called trapeziums. 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... | |
 | Euclides - 1874 - 342 pages
...the diameter, or the diagonal, is the straight line joining two of its 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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...lines are points. A straight line is one which lies evenly between its extremities. It is taken for granted : That a straight line may be drawn from any one point to any other point; And also that a terminated straight line may be produced to any length in a straight line. A... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...subtended by this arc is hence called an angls of ninety degrees. 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. That... | |
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LET it be granted that a straight line may be drawn from any one point to any other point. 
