 | Charles Bray - 1889 - 434 σελίδες
...point is that which hath no parts, or which hath no magnitude." " A line is length without breadth." " Let it be granted that a straight line may be drawn from any one point to any other point," that is, from that which has no parts and no magnitude, to that which has no parts and no magnitude... | |
 | James McCosh - 1889 - 360 σελίδες
...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... | |
 | Euclid - 1890 - 400 σελίδες
...straight lines cannot have two points in common without having all intermediate points in common. Post. Let it be granted that a straight line may be drawn from any one point to any other point. Note — When we draw a straight line from a point A to a point B, we are said to 'join AB' ; and for... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 515 σελίδες
...Diagonal] is the straight line joining two of its opposite angles. POSTULATES.1 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 a... | |
 | Edward Albert Bowser - 1890 - 393 σελίδες
...then A is B, is the converse of the typical theorem in (42). POSTULATES. 45. 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 distance in a straight line. 3. That a circle... | |
 | Euclid - 1892 - 518 σελίδες
...well as practically, to carry out the processes mentioned below. POSTULATES". Let it be granted, 1. That a straight line may be drawn from any one point to any other point. When we draw a straight line from the point A to the point B, we are said to join AB. 2. That a finite,... | |
 | Michigan Schoolmasters' Club - 1894
...elementary geometry. Of the postulates and axioms of Euclid six stand out as essentially geometrical. 1. That a straight line may be drawn from any one point to any other. 2. That a straight line may be prolonged to any length. 3. That a circle may be described about any... | |
 | Shadworth Hollway Hodgson - 1898
...and also, by means of the plane, of parallel straight lines, in which use is made of the postulate " that a terminated straight line may be produced to any length in a straight line," that is, of the conception of infinity. The idea, that the direction of a straight line is not altered... | |
 | 1899 - 676 σελίδες
...— THK THEORY or INVERSION — PE.UTELLIER'S EXACT MECHANISM. three postulates are: "I. A Ly right line may be drawn from any one point to any other point." "II. A terminated right line may he produced to any length in a right line." " III. A circle may be described... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
