 | Matthew Stewart - Geometry - 1746 - 352 pages
...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... | |
 | Thomas Leybourn - Mathematics - 1819 - 430 pages
...will be shorter and more perspicuous, if the two following Lemmas are first demonstrated. LEMMA i. If the circumference of a circle be divided into any number of equal parts, and perpendiculars be drawn from the points of division to any diameter of the circle ; the... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...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... | |
 | John Martin Frederick Wright - 1833 - 1072 pages
...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... | |
 | Mathematics - 1835 - 684 pages
...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... | |
 | James Smith - Circle-squaring - 1869 - 459 pages
...never-ending. I shall, therefore, adopt a different course.) If we divide the circumference of a circle into any number of equal arcs, and from one of these arcs deduct -^-th part, the remainder multiplied by the number of arcs is a constant quantity, and is equal... | |
 | James Smith - Mathematics - 1869 - 492 pages
...never-ending. I shall, therefore, adopt a different course.) If we divide the circumference of a circle into any number of equal arcs, and from one of these arcs deduct ,^-th part, the remainder multiplied by the number of arcs is a constant quantity, and is equal... | |
 | James Smith - 1870 - 634 pages
...this, if he had read my Letters in the Correspondent with ordinary care. The cause is thus explained. If the circumference of a circle be divided into any number of equal arcs, and if from one of these arcs ^jth part be deducted, and the remainder multiplied by the number of arcs,... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...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... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...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... | |
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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... 
