 | Euclides - 1858 - 248 σελίδες
...between the same parallels, the parallelogram shall be double of the triangle. CONSTRUCTION. — Pst. 1. A straight line may be drawn from any one point to any other point. DEMONSTRATION. — P. 37. Triangles upon the same base and between the same parallels, are equal to... | |
 | Robert Potts - 1860 - 380 σελίδες
...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... | |
 | James McCosh - 1860 - 512 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 as... | |
 | Euclides - 1861 - 464 σελίδες
...PROP. 1. — PROK. To find the centre of a given circle. SOL. — Pst. 1. Let it be granted that a st. line may be drawn from any one point to any other point. 10, I. To bisect a given finite st. line. 11, I. To draw a st. line at rt.¿s to a given st. line from... | |
 | Euclides - 1862 - 172 σελίδες
...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. AXIOMS.... | |
 | Euclides - 1863 - 122 σελίδες
...That a terminated straight line may be produced to any length in a straight line. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1.... | |
 | Euclides - 1864 - 448 σελίδες
...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. II. That a terminated straight line may be produced to any length in a straight line. m. And that a... | |
 | Euclides - 1865 - 80 σελίδες
...expression for drawing a straight line from the one of them to the other. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a straight line may be produced in a straight line to any required length. 3. That a circle may be described... | |
 | Robert Potts - 1865 - 528 σελίδες
...a diagonal is a straight linn 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. m. And that a... | |
 | Euclides - 1865 - 402 σελίδες
...plane, and which being prodnced ever so far both ways do not meet. POSTULATES. L Let it be granted that a straight line may be drawn from any one point to any other point. IL That a terminated straight line may be prodnced to any length in a straight line. HI. And that a... | |
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Let it be granted that a straight line may be drawn from any one point to any other point. 
