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" Let it be granted that a straight line may be drawn from any one point to any other point. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Side 6
av Euclid, John Playfair - 1795 - 400 sider
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 sider
...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...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...
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The Intuitions of the Mind Inductively Investigated

James McCosh - 1860 - 512 sider
...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...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...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...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...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...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...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. I. Things which are equal...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...All other four-sided figures are caOed 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. AXIOMS. 1. Things...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 sider
...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....
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 sider
...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 a...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...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 circle may be described...
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