Planimetry. Triangles and Connected Circles 



6810 



Lemoine, E. Edinb. Mth. S. P. 13 (1895) 2-. 

 Perrin, E. As. Fr. C. E. (1897) (Ft. 2) 90-. 

 Candido, G. N. A. Mth. 18 (1899) 31-; 19 



(1900) 244-. 

 Analogies in the triangle, rule. Lemoine, E. 



N. A. Mth. 12 (1893) 20- ; G. Teix. J. Sc. 



12 (1895) 105-. 

 , (Lemoine). Michel, C. N. A. 



Mth. 17 (1898) 24-. 

 Angles, sum. Bertrand, J. C. E. 69 (1869) 



1265- ; 70 (1870) 17-. 

 , , demonstration. Petersen, J. P. C. (xn) 



Ts. Mth. 1 (1883) 3- ; Mth. A. 29 (1887) 



238-. 

 , = 180, demonstration. Strong, T. Am. 



Ac. P. 1 (1848) 129-, 136-. 

 , = , . Hedrick, B. S. Am. As. P. 



(1874) (Pt. 1) 104-. 

 , = , , Legendre's. Levett, E. [1882] 



Binn. Ph. S. P. 3 (1883) 226-. 

 , = , without theory of parallels or 



infinity. Paulet, F. E. S. P. 3 (1836) 404. 

 , = , . Rosa, J. B. 



da. Coimbra I. 6 (1858) 115-. 

 Annex triangles, etc. Catalan, E. C. Brux. 



Ac. Bll. 4 (1882) 322-. 

 Antiparallels to sides of triangle. Lemoine, E. 



Mathesis 4 (1884) 201- ; Par. S. Mth. Bll. 14 



(1886) 107- , 163. 

 , use of word. Langley, E. M. Nt. 40 



(1889) 460-. 

 Apollonian problem, special case. Hoffmann, 



K. E. [1880] Arch. Mth. Ps. 66 (1881) 



246-. 

 Area. Studnicka, F. Prag Sb. (1872) (pt. 2) 



, and its dual analogue. Busche, E. Crelle 



J. Mth. 114 (1895) 1-. 

 , equal division by perpendiculars drawn 



from a point. Laser, . N. A. Mth. 3 



(1884) 332-. 



of pedal triangle. Clausen, T. Crelle J. 3 

 (1828) 196-. 



of triangle formed by joining feet of bisectors 

 of angles. Dostor, G. Arch. Mth. Ps. 64 

 (1879) 407-. 



Bisectors of angles. Hain, E. [1875] Arch. 

 Mth. Ps. 58 (1876) 90-. 



. Mackay, J. S. Edinb. Mth. S. P. 13 



(1895) 37-. 



, construction of triangle from. Berg, 



F. J. van den. N. Arch. Wisk. 16 (1889) 

 179- ; 17 (1890) 191- ; Fschr. Mth. 1889) 

 576; (1890) 590. 



, . Barbarin, . Par. S. 



Mth. Bll. 22 (1894) 76-; Mathesis 16 (1896) 

 143. 



, . Korselt, A. Z. Mth. Ps. 



42 (1897) 304-. 



, , and bibliographical 

 notes. Baker, M. [1879] Smiths. Misc. Col. 

 20 (1881) Art. 3, 55-. (Wash. Ph. S. Bll. 3 

 (1880).) 



, theorem. Mink, W. Grunert Arch. 



15 (1850) 358-. 

 Brocard angle. Fuhrmann, W. Arch. Mth. Ps. 



6 (1888) 1-. 



6810 



Brocard angle and circle. Schoute, P. H. 

 Amst. Ak. Vs. M. 3 (1887) 39-; Fschr. Mth. 

 (1886) 477-. 



angles, triangles having equal. Neuberg, J. 

 As. Fr. C. E. (1888) (Pt. 2) 135-. 



and Steiner angles. Avillez, J. F. d\ Lisb. 

 J. Sc. Mth. 5 (1898) 85-. 



Circles of the Triangle. 



Kucker, K. Arch. Mth. Ps. 47 (1867) 1-. 

 Duran-Loriga, J. J. As. Fr. C. E. (1897) (Pt. 2) 



175- ; (1898) (Pt. 2) 147-. 

 Brocard circle. Brocard, H. As. Fr. C. E. 10 



(1881) 138-. 

 and angle. Schoute, P. H. Amst. Ak. 



Vs. M. 3 (1887) 39-; Fschr. Mth. (1886) 



477-. 

 and Brocard line, properties. Lemoine, E. 



Mathesis 5 (1885) 103-. 



, generalised, properties. Griffiths, J. 

 L. Mth. S. P. 26 (1895) 173-. 



and Lemoine point, generalisation of 

 properties. Lemoine, E. N. A. Mth. 4 (1885) 

 201-. 



as locus. Langr, J. Casopis 29 (1900) 



210- ; Fschr. Mth. (1900) 499. 



, an( i related systems of conies. 



Mutter, A. Arch. Mth. Ps. 8 (1890) 337-. 



, variable seven-points circle analogous to. 



Griffiths, J. [1893] L. Mth. S. P. 25 (1894) 

 75. 



circles of plane triangle generalised, in- 

 version of system. Griffiths, J. L. Mth. S. 

 P. 25 (1894) 376-. 



and other circles. M'Cay, W. S. [1885] 

 Ir. Ac. T. 28 (*1880-86) 453-. 



Circle connected with triangle. Cwojdzinski, K. 

 Arch. Mth. Ps. 17 (1900) 238-. 



Circles connected with triangle formed by cir- 

 cular arcs, properties of some. Lachlan, R. 

 [1890] L. Mth. S. P. 21 (1891) 263-. 



cutting orthogonally in- and ex-circles of 

 triangle. Hart, H. QJ. Mth. 18 (1882) 

 363-. 



touching circles described on sides of tri- 

 angle. Rutherford, W. [1846] Mathema- 

 tician 2 (1847) 69-. 



sides. Noel, J. N. Quetelet Cor. Mth. 5 



(1829) 22-. 

 Circum-circle, power of a point in relation to. 



Hain, E. [1881] Arch. Mth. Ps. 67 (1882) 



106-. 

 , property. Tucker, R. L. Mth. S. P. 22 



(1891) 470- ; 25 (1894) 315-. 

 , relation to in- and ex-circles. Chrzasz- 



czcwski, S. Arch. Mth. Ps. 16 (1898) 119-. 

 , inscribed conic. Laguerre,E. N. A. 



Mth. 18 (1879) 241-. 

 Groups of three circles related to. Berg, F. J. 



van den. N. Arch. Wisk. 7 (*1881) 78-. 

 In-circles, equation in trilinears. Russell , 



W. H. L. [1881-82] E. S. P. 33 (1882) 211- ; 



34 (1883) 35-. 

 , etc., theorems. Larenz, N. von. [1878] 



Arch. Mth. Ps. 63 (1879) 294-; 65 (1880) 212-. 

 , circum-, and ex-circles. Matthes, C. J. 



Leijd. A. Ac. (1830-31) 66 pp. 



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