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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...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
...as are in the same 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...be produced to any length in a straight line. III. AXIOMS. I. Things which are equal to the same thing, are equal to one another. II. If equals be added...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...joining two of its opposite angles. 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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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...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 a...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...POSTULATES. '1. 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....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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...may be produced to any length in a straight line. m. And that a circle may be described from any eenter, at any distance from that center. AXIOMS. ,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...POSTULATES. I. 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 produced to...line. III. And that a circle may be described from any center, at any distance from that center. AXIOMS. I. THINGS which are equal to the same thing are equal...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...Trapeziums. XXXV. Parallel straight lines, are snch as are in the same plane, and which being prodnced ever so far both ways do not meet. POSTULATES. L Let...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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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...a concise 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...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1865 - 444 Seiten
...the solution of which is self-evident. POSTULATES. Let it be granted — I. That a straight line can be drawn from any one point to any other point ; II. That a straight line can be produced to any distance, or terminated at any point ; III. That the circumference...
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