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" LET it be granted that a straight line may be drawn from any one point to any other point. "
Mensuration of lines, areas, surfaces, and volumes - Page xv
by Robert Rawson - 1856
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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...may be produced to any length in a straight line. in. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. i....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...are in the same plane, and which, being produced 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. II. That a terminated straight line may be produced to any length in a straight line. III. And that...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...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: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...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 - Geometry - 1854 - 436 pages
...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 - 262 pages
...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 - Geometry - 1855 - 334 pages
...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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