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" ... inscribed in a circle. 514. Find the shortest distance between two circles which do not meet. 515. Two circles cut one another at a point A : it is required to draw through A a straight line so that the extreme length of it intercepted by the two... "
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 181
by George Salmon - 1879 - 395 pages
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...quadrilateral figure inscribed in a circle are together equal to two right angles, (in. 22.) (jB). If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles, together with two right angles, is equal to as many right...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Conic sections - 1852 - 338 pages
...a2, and subtract ; and we have 2a2/32L + yM = 0, whence eliminating a/3, we find 7(27L + 3R)2 + 2LM = 0, the equation of a conic. Ex. 2. If a polygon of an even number of sides be inscribed in a cubic, anil all the sides but one pass through fixed points on the curve, the last side will also pass through...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...that four times the sum of the squares on BE and CF is equal to five times the square on BC. IIi. 22. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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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
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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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
...extreme length of it intercepted by the two circles may be equal to that of a given straight line. 516. If a polygon of an even number of sides be inscribed in a circle, the sum of the alternate angles together with two right angles is equal to as many right angles...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...diagram for Prop. VI., if A is an angle of 17° and DE an arc of 36°, how many degrees in arc BC ? 328. If a polygon of an even number of sides be inscribed in a circle, the sums of its alternate angles are equal. 329. Find a point equidistant from three given...
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The New International Encyclopædia, Volume 14

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1903 - 1184 pages
...number of sides be circumscribed about a circle, the sums of its even and odd sides are equal ; and if a polygon of an even number of sides be inscribed in a circle, the sums of its even and odd angles are equal. The inscription and circumscription of regular...
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