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" LET it be granted that a straight line may be drawn from any one point to any other point. "
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 5
των Euclides - 1863
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...point of bisection. 3. An angle has one and only one bisector. 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...

Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...finite straight line has one and only one point of bisection. 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...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...joining two of its opposite angles. All other four-sided figures are called trapeziums. 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...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 σελίδες
...into three equal parts ; to find two mean proportionals between two given lines, etc. Postulates. 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. From the greater...

Elementary geometry

James Maurice Wilson - 1878 - 450 σελίδες
...point of bisection. 4. An angle has one and only one bisector. 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...

Elements of Plane Geometry, Μέρος 1

Thomas Hunter - 1878 - 142 σελίδες
...straight lines which intersect each other can not both be parallel to the same straight line. Postulates. 1. Let it be granted that a straight line may be drawn from one point to another; 3. And that a circle may be described from any point as centre, and with any...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 426 σελίδες
...plane, and which, being produced ever so far both ways, do not meet. 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...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...given, and some remarks will be made on their nature afterwards.] 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...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...is the sum of the lines which, bound it. The perimeter of a circle is its circumference. Postu1ates. 1. Let it be granted that a straight line may be drawn from any point to any other point; 2. That a terminated straight line may be produced to any length in a straight...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...LINES are such as are in the same plane, and which, being continually produced, never meet. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other point. That a terminated straight line may be produced to any length in a straight line. 3. That a circle...




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