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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

Royal Military Academy, Woolwich - 1853
...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 i, ha?e superseded Defs. 31, 32, 33.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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