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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 geometry; or, The first six books, with the eleventh and ... - Page 5
by Euclides - 1855
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...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 - 72 pages
...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 - 448 pages
...parallel : and 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 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...are parallel : and a diameter, or a diagonal is a straight linn joining two of its opposite angles. POSTULATES. I. LET it be granted, that a straight...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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...as are in the same 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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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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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866
...; and the diagonal is the straight 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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Outlines of geometry; or, The motion of a point

Walter Marsham Adams - 1866
...drawing straight lines 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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...certainly be convenient if this restriction were universally adopted.] POSTULATES. 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...
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