...XIV. Straight lines which are parallel to the same line are parallel to each other. POSTULATES. I. Let it be granted that a straight line may be drawn from any point to any other point. II. That a terminated straight line may be produced, in either direction,...

...POSTULATE signifies something which may be assumed as granted. Hence it may be granted, 1st, That a right line may be drawn from any one point to any other point : 2dly, That a line may be produced, that is, continued or lengthened at pleasure : 3dly, That a circle...

...in his hand, before commencing his artistic and scientific achievements upon the black-board, says': "Let it be granted that a straight line may be drawn from any one point to any other point," I invariably answer, " Of course, — by all manner of means," — although you know, dear Don, that,...

...which being applied the one to the other, coincide throughout their whole extent, are equal POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged, iu a straight line,...

...straight line are necessary to fix the position of a plane." — Pott's 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 line may be produced to any length in a straight line : 3. And that...

...line which is contained an exact number of times in each of thsm. BOOK 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...

...line joining two of the opposite angular pomts of a quadrilateral is 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 line may be produced to any length in a straight line ; 3. And that...

...the diameter, or the diagonal is the straight line 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. in. And that a...

...definitions and in the propositions founded on them, such as the following, put 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...

...XIV. Straight lines which are parallel to the same line are parallel to each other. POSTULATES. I. Let it be granted that a straight line may be drawn from any point to any other point. II. That a terminated straight line may be produced, in either direction,...