| Charles Bray - 1889 - 407 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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
...— 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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