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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. "
A Text-book of Geometry - Page 15
by George Albert Wentworth - 1888 - 386 pages
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...angles of a polygon not consecutive. 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 may be...
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The Universe of Suns: And Other Science Gleanings

Richard Anthony Proctor - Astronomy - 1884 - 422 pages
...line. Indeed, his first two postulates practically involve this axiom. Let it be granted, he says, that a straight line can be drawn from any one point to any other point, and that a straight line so drawn can be produced to any distance in the same straight line. Here manifestly...
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Littell's Living Age, Volume 160

American periodicals - 1884 - 864 pages
...a line. Indeed his first two postulates practically involve this axiom. Let it be granted, he says, that a straight line can be drawn from any one point to any other point, and that a straight line so drawn can be produced to any distance in the same straight line. Here manifestly...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...I.] DEFINITIONS, POSTULATES, AXIOMS. 11 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 either way. 3. That a circle may be described...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...from a Latin word postulo, I demand. 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 circle may...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1885 - 424 pages
...whole is greater than any of its parts. 9. The whole is equal to all its parts taken together. 47. POSTULATES. Let it be granted — 1. That a straight...point to any other point. 2. That a straight line can bo produced to any distance, or can be terminated at any point. 3. That the circumference of a circle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...joining two of its opposite angles. POSTULATES.1 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 Circle may...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...converse of the typical theorem in (42). POSTULATES. 45. Let it be granted — 1. That a straight lino may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any distance in a straight line. 3. That a circle may be...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...A is equal to B. (Converse.) 78. The opposite of a proposition is formed by stating the negative of its hypothesis and its conclusion. Thus, If A is equal...to any distance, or can be terminated at any point. 3. That a circumference may be described about any point as a centre with a radius of given length....
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De Bello Gallico: Books I-VII, According to the Text of Emanuel Hoffmann ...

Julius Caesar - 1898 - 614 pages
...the next place Caesar tells us that the hill he captured was ' e regione oppidi ' (36, 5). Now as a straight line can be drawn from any one point to any other, this description could not be employed intelligibly by Caesar except in reference to some third point,...
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