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" 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 them is (aba Nj a+b + cj 12. "
The elements of plane trigonometry - Page 200
by John Charles Snowball - 1837
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 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...meet in a point, whose distance from any one of them - f a&c \ ' \a + b + c} 1 19. Resolve a;2" — 1 into its quadratic factors, and write down the result...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 pages
...circles, whose radii are а, Ь, с, touch each other externally : prove that the tangents at the point of contact meet in a point whose distance from any one of them is ( — ,- — 1 . \o-f6tc/ 294. If a circle be inscribed in a square, and between it and the four angular...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 546 pages
...will the area of the triangle ABC be | „/a262 + a V + 6V. 87- Three circles whose radii are a, 6, c, touch each other externally: prove that the tangents...point, whose distance from any one of them is abc \J — \ . .a + 6 + c/ ' •, - -rr 88. Retaining the notation previously used, it is required to prove...
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An elementary treatise on plane trigonometry

Richard Dunkley Beasley - Plane trigonometry - 1858 - 144 pages
...area of triangle ABC= 1 : 8 sin - sin ^ sin ^ . л л л 107. Three circles whose radii are a, b, с touch each other externally ; prove that the tangents...in a point whose distance from any one of them is // V \ abc 108. If a = cosec в tan3 в (cosec2 в + 1) + sec в, and b = tan3 в (cosec2 в + 1) -...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1864 - 298 pages
...the side of a pentagon inscribed in a circle be c, the ,. . c ^(5 + J5) radius is ' . v ' . )/ *V 11. Three circles whose radii are a, b, c touch each other...in a point whose distance from any one of them is (aba Nj a+b + cj 12. The sides taken in order of a quadrilateral whose opposite angles are supplementary...
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Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1874 - 360 pages
...the side of a pentagon inscribed in a circle be c, the 11. Three circles whose radii are а, Ъ, с touch each other externally : prove that the tangents at the points of contact meet at a point whose distance from any one of them is / abc Ч« \a + b + cj 12. The sides taken in order...
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The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 1-2

Mathematics - 1874 - 430 pages
...before and In this case, if n = 2, T| = 3rf,rf». 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...
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The Analyst, Volumes 1-2

Electronic journals - 1874 - 490 pages
...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, 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...
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Pure mathematics, Volume 2

Edward Atkins - 1875 - 410 pages
...(a- -a) (<r- ß) (<r - yf 40. Three circles touch each other externally whose radii are a, b, c. Show that the tangents at the points of contact meet in a point, and that its distance from each of them is / abe \]¡ \a + b + c/ ' CHAPTER V. HEIGHTS AND DISTANCES....
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The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - Trigonometry - 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...contact meet in a point, whose distance from any one of the points of contact is / abc \i \a + b + cj 4. The areas of all triangles described about a given...
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