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" Let it be granted that a straight line may be drawn from any one point to any other point. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 5
av Robert Simson - 1762 - 466 sider
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...XXXV. Parallel straight lines, are such 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 from any one point to any other point. II. That a terminated straight line...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...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
...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
...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
...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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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1865 - 444 sider
...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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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...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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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...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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Outlines of geometry; or, The motion of a point

Walter Marsham Adams - 1866
...or circles, and we can only assume the power. " Let it be granted," says Euclid, " that a straight line may be drawn from any one point to any other point," and " that a circle may be described," &c. As it is impossible to learn to swim without going into...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866
...line joining the vertices of two opposite angles. 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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