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الكتب الكتب 1 - 10 من 34 فيIf the circumference of a circle be divided into any number of equal parts, the chords....
" If the circumference of a circle be divided into any number of equal parts, the chords joining the successive points of division form a regular polygon inscribed in the circle ; and the tangents drawn at the points of division form a regular polygon circumscribed... "
New Series of The Mathematical Repository - الصفحة 160
بواسطة Thomas Leybourn - 1819
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Some general theorems of considerable use in the higher parts of mathematics

Matthew Stewart - 1746 - عدد الصفحات: 163
...of AB is equal to the redangle contained by BD, AC. ^ E. Do PROPOSITION IV. THEOREM II. Fig.bj Let the circumference of a circle be divided into any number of equal parts in the points A, B, C, &c. and from the points A, B, C, &c. let there be drawn right lines to any point...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - عدد الصفحات: 272
...common centre of two circles, the one circumscribed about, the other inscribed in, the polygon . 91 (¿) If the circumference of a circle be divided into any number of equal parts, the chords joining the points of division shall include a regular polygon inscribed in the circle ;...
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A Commentary on Newton's Principia: With a Supplementary Volume ..., المجلد 1

John Martin Frederick Wright - 1833
...equality, and therefore are accurate measures of them), than the angles themselves. 50. Ex. 1. Let the circumference of a circle be divided into any number of equal parts and the points of division being joined, let there be t tangent drawn at every such point meeting a perpendicular...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...common centre of two circles, the one circumscribed about, the other inscribed in, the polygon . 91 (fr) If the circumference of a circle be divided into any number of equal parts, the chords joining the points of division shall include a regular polygon inscribed in the circle ;...
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The Principles of Mechanics: Explaining and Demonstrating the General Laws ...

William Emerson, G. A. Smeaton - 1836 - عدد الصفحات: 320
...and its method of construction, let ABCDE (Fig. 5. Plate B,) be any indefinite right line, and let it be divided into any number of equal parts, and perpendiculars be drawn from all the points ABC, &c. and let their lengths AF, BG, CH, DI, and EK, be a series of geometrical proportions,...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - عدد الصفحات: 592
...equal chords, is tangent to the circumference at the point where the two chords meet. 4. If an are of a circle be divided into any number of equal parts, and lines be drawn from the points of division, meeting each other at anv point of the circumference, these...
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Rudimentary Treatise on the Principles of Design in Architecture: As ...

Edward Lacy Garbett - 1867 - عدد الصفحات: 247
...Archimedes. It is so called from his demonstrarion of its nature, by which it is proved that if the arc of a circle be divided into any number of equal parts, and radii drawn from the centre to these points, the spiral line commencing at the end of one of those...
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The Ratio Between Diameter and Circumference in a Circle Demonstrated by ...

1870 - عدد الصفحات: 290
...TT ; but this ratio does not hold good for a polygon of 3 or of 4 sides inscribed in a circle. But, if the circumference of a circle be divided into any number of equal arcs, and from one of these arcs j'jth part be deducted, and the remainder be multiplied by the sum...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - عدد الصفحات: 368
...establishes the possibility of regular polygons of any number of sides. PROPOSITION I.— THEOREM. 2. If the circumference of a circle be divided into any number of equal parts, the chords joining the successive points of division form a regular polygon inscribed in the circle...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - عدد الصفحات: 368
...establishes the possibility of regular polygons of any number of sides. PROPOSITION I.— THEOREM. 2. If the circumference of a circle be divided into any number of equal parts, the chords joining the successive points of division form a regular polygon inscribed in the circle...
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