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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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## ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...being applied the one to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged, in a straight line,...
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## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...opposite angles, is called the diagonal or diameter. POSTULATES. 1. Let it be granted that a right line may be drawn from any one point to any other point. 2. That a terminated right line may be produced to any length in a right line. 3. That a circle may...
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## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...are in the same plane, and which, being produced ever so far both ways, do not meet. 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. 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 Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Bücher 1

Euclides - 1853
...other diagonal. BCBCBC This defn., and Bk. ii. Def. i, ha?e superseded Defs. 31, 32, 33. POSTULATES. I. Let it be granted that a straight line may be drawn from any one given point to any other given point. II. Let it be granted that a given terminated straight line may...
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## Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...axiom should be a self-evident, but at the same time an indemonstrable truth. Euclid asks us to "grant that a straight line may be drawn from any one point to any other," from sheer necessity ; the apparent simplicity of the operation is in reality a cause of its difliculty....
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## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 Seiten
...being applied the one to the other, coincide throughout their whole extent, are equal. POSTULATES. 1. Let it be granted, that a straight line may be drawn from one point to another point. 2. That a terminated straight line may be prolonged. in a straight line,...
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...this йейпШьп is, that the space between the lines is always of the same breadth. POSTULATES. i Let it be granted, that a straight line may be drawn from any one point to any other point. When a straight line is drawn from one point to another point, the points are said to be joined. The...
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 Seiten
...are in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. 1. LET it be granted that a straight line may be drawn from any one pomt to any other point. 2. That a terminated straight line may be produced to any length in a straight...
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## Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...as arc in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. r 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. And that a circle...
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