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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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...quadrilateral which has two of its sides parallel. 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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 circle may...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...whole is greater than any of its parts. 9. Every whole is equal to all its parts taken together. 47. POSTULATES. Let it be granted — • 1. That a straight...to any distance, or can be terminated at any point. 3. That the circumference of a circle can be described about any GEOMETRY. — BOOK I. 48. SYMBOLS...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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 circle may...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...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 may be...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...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 may be...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...this restriction were universally adopted.] 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 Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 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...to any distance, or can be terminated at any point. 3. That the circumference of a circle can be described about any centre, at any distance from that...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...this restriction were universally adopted.] 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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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...shortest distance between any tivo points. POSTULATES. A Postulate is a self-evident possibility: 1. A straight line can be drawn from any one point to any other. 3. A finite straight line can be bisected; that is, divided into two equal parts. 4. An angle may be...
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