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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Page 11
by John Playfair - 1855 - 318 pages
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1088 pages
...Elements on the three following postulates: 1. That a straight line may be drawn from any one point to any other point. 2. That a terminated straight...may be produced to any length in a straight line. 3. That a circle may be described from any centre at any distance from that centre. (Playfair's Eac/iii.)...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - Encyclopedias and dictionaries - 1867 - 1090 pages
...other point. 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle may be described from any centre at any distance from that centre. (Playfair's Knclid.) Pot Metal. An alloy of copper and lead. The term is also sometimes applied to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other point. IL That a terminated straight line may be produced to any length in a straight line. m. AXIOMS. I. THINGS which are equal to the same thing are equal to one another. II. If equals be added...
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Belgravia, Volume 5

Mary Elizabeth Braddon - English periodicals - 1868 - 664 pages
...certain Axioms. He tells the tyro that a point is that which hath no parts, or which hath no magnitude ; that a terminated straight line may be produced to any length in a straight line ; that if equals be taken from equals, the remainders are equal, and that things which are doable of...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...PEOB. To describe an equilateral triangle upon a given finite straight line. SOLUTION. — Pst. 3. A circle may be described from any centre at any distance from that centre. Pst. 1. A straight line may be drawn from any one point to any other point. DEMONSTRATION. — Def....
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...POSTULATES. Let it be granted I. 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. That a circle may be described from any centre at any distance from that centre. IV. That all...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...BOOK V PROBLEMS Postulates. 1 A a'.raight 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. From the greater of two straight lines, a part may be cut off equal to the less. 4. A circumference...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...POSTULATES. Let it be granted I. 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. That a circle may be described from any centre at any distance from that centre. IV. That all...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 pages
...— sin. 2 A. 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. 3. And that a circle may be described from any center, and with any radius. 4. That no part of the circumference of a circle is straight. 5. That...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...POSTULATES. I. 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. That a circle may be described from any centre, at any distance from that centre. AXIOMS. I. Things...
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