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" SOL UT10N OF A PROBLEM. BY EB SEITZ, GREENVILLE, OHIO. Three circles whose radii are a, b, c, touch each other externally. Within the space enclosed by them a circle is drawn tangent to the three circles, and within this circle three circles are drawn... "
The Analyst: A Monthly Journal of Pure and Applied Mathematics - Page 157
1874
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 pages
...roots of the equation x*" — 2xn cosec 2a + I = 0 are represented by (tan a) ± - • u. j \ ' n 118. Three circles whose radii are a, b, c, touch each other externally ; prove that the tangents at the points of contact meet in a point, whose distance from any one of...
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The elements of plane trigonometry

John Charles Snowball - 1837 - 322 pages
...intersect each other = the square of the area of the triangle which the three lines include. (З). Three circles whose radii are a, b, c, touch each other externally ; prove that the tangents at the points of contact meet in a point, whose distance from any one of...
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The Analyst, Volumes 1-2

1874 - 490 pages
...Substitute in (5) as before and T, = In this case, if « = 2, T\ = SOL UT10N OF A PROBLEM. BY EB SPATZ, GREENVILLE, OHIO. Three circles whose radii are a,...circles. Calling the radii of these three circles *,, JX1? *,, we may determine three other circles, radii #2, jj, z3, touching each other and the second...
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The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - 1880 - 256 pages
...intersecting each other = the square of the area of the triangle which the three lines include. 3. Three circles whose radii are a, b, c, touch each other externally; prove that the tangents at the points of contact meet in a point, whose distance from any one of the...
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The Analyst, Volumes 1-4

1874 - 834 pages
...(5) as before and Tj = 2((«»- i)Rr) * = ,/(«' -IX73;In this case, if « = 2, TJ = ^dld,. SOL UTION OF A PROBLEM. BY EB SEITZ, GREENVILLE, OHIO. Three circles whose radii are a, &, c, touch each other externally. Within the space enclosed by them a circle is drawn tangent to the...
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A Treatise on Plane Trigonometry

Ernest William Hobson - 1911 - 432 pages
...shew that the areas of the three triangles thus formed are м sin (B- C) : sin (CA): sin (A- B). 29. Three circles, whose radii are a, b, c, touch each other externally ; prove that the radii of the two circles which can be drawn to touch the three are abc _ (be + ca...
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