Libros Libros The six straight lines. joining two and two the centres of the four circles which touch the sides of a triangle pass each through one of the vertices of the triangle. Proceedings of the Edinburgh Mathematical Society - Página 46
por Edinburgh Mathematical Society - 1894
Vista completa - Acerca de este libro ## The Elements of Plane and Spherical Trigonometry

John Hind - 1855 - 328 páginas
...ОТ «OS В and cot .V (B -A) = - : — =3- . m sin B 53. Iff/,, d2, i/3, dt be the distances, of the centres of the four circles which touch the sides of a triangle, from that of the circumscribed circle, then d,- + ¿г' + d,' + dt' = 4K2 + 2A(r,+r2 + r3-i-) = 12/2*....
Vista completa - Acerca de este libro ## A Book of Mathematical Problems on Subjects Included in the Cambridge Course

Joseph Wolstenholme - 1867 - 344 páginas
...is produced to meet the circle in E : prove that AE is bisected inD. 33. The straight lines joining the centres of the four circles which touch the sides of a triangle are bisected by the circumscribed circle : also the middle point of the line joining any two of the...
Vista completa - Acerca de este libro ## Mathematical Questions and Solutions, from the "Educational Times ..., Volumen7

W. J. C. Miller - 1867
...I. Solution by the PBOPOSKB. 1. To show that the foci of the two imaginary parabolas drawn through the centres of the four circles which touch the sides of a given triangle ABC coincide with the circular points at infinity. The two parabolas which pass through...
Vista completa - Acerca de este libro ## Conic Sections treated Geometrically

William Henry Besant - 1869 - 253 páginas
...be of constant magnitude, the locus of P is a rectangular hyperbola. 19. Every conic passing through the centres of the four circles which touch the sides of a triangle, is a rectangular hyperbola. 20. Ellipses are inscribed in a given parallelogram, shew that their foci...
Vista completa - Acerca de este libro ## GEOMETRY OF CONICS

C. TAYLOR, M.A. - 1872
...common points of two rectangular hyperbolas is itself a rectangular hyperbola. 206. A conic through the centres of the four circles which touch the sides of a triangle is a rectangular hyperbola, and its centre is on the circumscribing circle. 207. Any chord of a rectangular...
Vista completa - Acerca de este libro ## The Cone and Its Sections Treated Geometrically

S. A. Renshaw - 1875 - 148 páginas
...circle circumscribing CTQ touches the ordinate QV conjugate to CP. 101. — Every Conic passing through the centres of the four circles which touch the sides of a triangle is a rectangular Hyperbola. 102. — The foci of Ellipses inscribed in a given parallelogram lie on...
Vista completa - Acerca de este libro ## Mathematical Problems on the First and Second Divisions of the Schedule of ...

Joseph Wolstenholme - 1878 - 480 páginas
...is produced to meet the circle in E : prove that AE is bisected in D. 56. The straight lines joining the centres of the four circles which touch the sides of a triangle are bisected by the circumscribed circle ; also the middle point of the line joining any two of the...
Vista completa - Acerca de este libro ## The Elementary Geometry of Conics

Charles Taylor - 1880 - 104 páginas
...common points of two rectangular hyperbolas is itself a rectangular hyperbola. 216. A conic through the centres of the four circles which touch the sides of a triangle is a rectangular hyperbola, and its centre is on the circumscribing circle. 217. On opposite sides...
Vista completa - Acerca de este libro ## An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - 1881 - 384 páginas
...or supplementary to the angles which they subtend at the centre. • i 477. If a conic pass through the centres of the four circles which touch the sides of a triangle it must be a rectangular hyperbola, and its centre will lie on the circumscribed circle of the triangle....
Vista completa - Acerca de este libro ## The Doctrine of Germs, Or, The Integration of Certain Partial Differential ...

Samuel Earnshaw - 1881 - 108 páginas
...equal or supplementary to the angles which they subtend at the centre. 477. If a conic pass through the centres of the four circles which touch the sides of a triangle it must be a rectangular hyperbola, and its centre will lie on the circumscribed circle of the triangle....
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