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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 ... - Seite 5
von Robert Simson - 1762 - 466 Seiten
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## The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 592 Seiten
...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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## The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1873 - 238 Seiten
...— cos. 2 A, And cos. A — ± VR 2 — sin. 2 A. 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 a...
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## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...straight line joining two of its 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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## Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 Seiten
...arc is hence called an angls of ninety degrees. 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. That a circle...
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## Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...All other four-sided figures are called 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. 3. And that a...
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## The Intuitions of the Mind Inductively Investigated

James McCosh - 1874 - 484 Seiten
...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...
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## Euclidian Geometry

Francis Cuthbertson - 1874 - 400 Seiten
...straight line is one which lies evenly between its extremities. It is taken for granted : That a straight line may be drawn from any one point to any other point; And also that a terminated straight line may be produced to any length in a straight line. A superficies...
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## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 Seiten
...quadrilateral which has two of its sides parallel. 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 Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 Seiten
...cos. 2J.t And cos. JL === ± 1/12 2 — sin. 2A 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 a...
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## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...All other four-sided figures are called 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. 3. And that a...
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