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" 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 circle may be described from any centre, at any distance from... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 5
by Robert Simson - 1827 - 513 pages
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The Intuitions of the Mind Inductively Investigated

James McCosh - Intuition - 1874 - 484 pages
...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 as a circle, that is, a plane figure such that all straight lines drawn...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 circle may be described from any centre, at any distance from that centre. Axioms. lual...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...POSTULATES. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be described from any centre, with a radius equal to any finite straight line. THEOREMS...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...POSTULATES. Let it be granted that 1. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be described from any centre, with a radius equal to any finite straight line. SECTION...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...I. 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 » straight line. in. And that a circle may be described from any center, at any distance from that...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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 circle may be described from any centre, at any distance from that centre. Axioms. 1....
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Errors of Speech and of Spelling, Volume 2

Ebenezer Cobham Brewer - English language - 1877 - 854 pages
...drawn from one point to another. 2. That a straight line may be produced to any required length. 3. That a circle may be described from any centre, at any distance from that centre. Lat. postulatorius, postulutum, postulare (poseo, to demand). Poetare, pSs'.tchur, attitude, position;...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 pages
...Let it be granted : 1. That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line. 3. That a circle may be described with any centre, and at any distance from that centre. AXIOMS. 1....
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...the anticedent terms are called homologous to one another, as also the consequents to one another. AXIOMS. I. Things which are equal to the same thing are equal to one another. II. If the same thing be added to equals, or equals be added to equals, the wholes are equal. III. If the...
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Elementary Geometry ...

James Maurice Wilson - 1878 - 450 pages
...POSTULATES. Let it be granted that i. A straight line may be drawn from any one point to any other point. 2. A terminated straight line may be produced to any length in a straight line. 3. A circle may be described from any centre, with a radius equal to any finite straight line. It will...
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