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الكتب الكتب 81 - 90 من 171 فيLet it be granted that a straight line may be drawn from any one point to any other....
" Let it be granted that a straight line may be drawn from any one point to any other point. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - الصفحة 6
بواسطة John Playfair - 1795 - عدد الصفحات: 400
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The Ratio Between Diameter and Circumference in a Circle Demonstrated by ...

1870 - عدد الصفحات: 290
...1) should be based upon the simplest of the postulates, viz. : " Let it be granted, that a straight line may be drawn from any one point to any other point" Thus, Euclid begins by showing us how to construct an equilateral triangle. There can be no doubt that...
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Elements of geometry, containing the first two (third and fourth ..., الجزء 1

Euclides - 1871
...figures and the properties of geometrical mag--tudes. 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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - عدد الصفحات: 58
...which is contained an exact number of times in each of them. 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - عدد الصفحات: 349
...figures and the prqperties pf geometrical magnitudes. 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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...being produced ever so far both ways, do not meet. 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...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1873 - عدد الصفحات: 164
...— cos. 2 A, And cos. A — ± VR 2 — 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 may be produced to any length in a straight line. 3. And that a...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...arc is hence called an angls of ninety degrees. 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...
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Pure Mathematics, المجلد 1

1874
...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...
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The Intuitions of the Mind Inductively Investigated

James McCosh - 1874 - عدد الصفحات: 451
...in the propositions founded on them, such as the following, 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...
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Euclidian Geometry

Francis Cuthbertson - 1874 - عدد الصفحات: 349
...straight line is one which lies evenly between its extremities. It is taken for granted : That a straight line may be drawn from any one point to any other point; And also that a terminated straight line may be produced to any length in a straight line. A superficies...
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