6800 Elementary Geometry 



Maxima and minima, geometrical methods. 



Genese, R. W. Mess. Mth. 5 (1871) 122-. 

 . , problem. Chartres, R. Nt. 37 (1888) 



320. 

 Mean proportional. Grunert, J. A. Grunert 



Arch. 31 (1858) 476-. 



values, theorems. Crofton, M. W. L.Mth. 

 S. P. 8 (1877) 304-. 



Mensuration in one, two and three dimensions. 



Kummell, C. H. A. Mth. 4 (1888) 129-. 

 Organic bodies, representation. Vieth, G. U.A. 



Gilbert A. 53 (1816) 225-. 

 Pappus on progressions. Mackay, J. S. Edinb. 



Mth. S. P. 6 (1888) 48-. 

 Polyhedra and polygons, mensuration. Lhui- 



lier, S. Bb. Un. 18 (1821) 85-. 



, theorem by Carnot, correction. 

 Griison, J. P. [1826] Berl. Ab. (1831) 

 97-. 



Problem. Jiirgensen, C. Mth. Ts. 1 (1859) 



81-. 

 Problems. Steichen, . Quetelet Cor. Mth. 



6 (1830) 302-. 

 , Euclid's. Breton \de Champ] , P. Liouv. 



J. Mth. 20 (1855) 209-. 

 , , solution with ruler and circle of fixed 



radius, by Italian geometers in 16th century. 



Mackay, J. S. Edinb. Mth. S. P. 5 



(1887) 2-. 

 , method, singular, for solution of many. 



Sixtel, W. Fschr. Mth. (1895) j>61. 

 , solution. Brianchon, C. J 



J. 10 e cah. (1810) 1-. 

 , by calculation. Heller, H. J. Grunert 



Arch. 34 (1860) 6-. 

 , ruler and compass. Petersen, J. P. C. 



Planimetry; Circles 6810 



Theorems, method for discovering. Magnus, 

 L. J. Crelle J. 8 (1832) 51-. 



6810 Planimetry; straight lines, 

 and circles. 



Adams's hexagons and circles. Mackay, J. S. 



Edinb. Mth. S. P. 11 (1893) 104-. ' 

 Angles, conterminal. Bushell, W. D. [1873] 



Mess. Mth. 3 (1874) 12-. 

 , curvilinear. Miquel, A. Liouv. J. Mth. 



9 (1844) 20-; 10 (1845) 347-; 11 (1846) 



65. 

 Apollonius, three problems. Chasles, M. 



Mathematician 3 (1850) 201-. 

 Apparatus for drawing circles and other curves. 



Cerebotani, L. Em. N. Line. At. 46 (1893) 



11-, 86-. 

 Arc of very large radius, construction by two 



given tangents. Breton, Ph. Les Mondes 



(1880) 73-. 

 Arcs, wide, parabolic or circular, tracing. 



Leclert, E. Les Mondes 25 (1871) 18-. 

 Bisection, repeated. Bouniakowsky , V. [1866] 



St Pet. Ac. Sc. Bll. 11 (1867) 97-. 



CIECLES. (See also 2880.) 



(xn) Ts. Mth. 4 (1874) 97-. 



solvable by ruler and compass, criteria for 

 recognition. Wantzel, L. Liouv. J. Mth. 

 2 (1837) 366-. 



, treatment. Mensing, . Grunert Arch. 

 2 (1842) 341-. 



, two. Geiser, C. F. [1866] Crelle J. 67 

 (1867) 78-. 



Puzzle, geometrical. Darwin, G. H. Mess. 

 Mth. 6 (1877) 87. 



Kates method, application to geometry. John- 

 son, W. W. Mess. Mth. 4 (1875) 72-. 



Statical proofs in geometry. Brassinne, E. 

 Toul. Mm. Ac. 2 (1858) 144-. 



of some theorems. Alison, J. Edinb. 



Mth. S. P. 4 (1886) 58-. 



Symbolical calculation with geometrical rela- 

 tions. Eeye, T. Mth. A. 43 (1893) 145-. 



Symmetrical figures. Mobius, A, F. Leip. 

 B. (1851) 19-. 



, condition of equality. Weill, G. C. 



E. 105 (1887) 1237-. 



, successive. Neuberg, J. As. Fr. C. E. 



(1890) (Pt. 2) 18-. 

 Symmetry. Fiedler, W. Ziir. Vjschr. 21 



(1876) 50-. 

 , its place in elementary geometry. Redard, 



F. U. Neuch. S. Sc. Bll. 14 (1884) 69-. 



, plane and in space. Dostor, G. J. N. A. 



Mth. 6 (1847) 166-. 

 Theorem of Euler in elementary geometry. 



Fuortes, T. G. Mt. 7 (1869) 378. 



Crelle, A. L. Crelle J. 14 (1835) 66-. 

 Par. EC. Pol. Mehmke, R. Z. Mth. Ps. 24 (1879) 257-. 

 Bessell, F. Arch. Mth. Ps. 67 (1882) 44-. 

 Tarry, G. As. Fr. C. E. (1891) (Pt. 2) 



90-. 

 Approximations, rational. Bankine, W. J. M. 



Ph. Mg. 29 (1865) 421-. 

 Arc of given length, construction. Eankine, 



W. J. M. [1864-67] Ph. Mg. 29 (1865) 



22- ; 34 (1867) 284-. 

 , rectification. Dostor, G. J. N. A. Mth. 6 



(1847) 287-. 

 , resolution. Fuss, N. [1804] St Pet. Ac. 



Sc. Mm. 2 (1810) 45-. 



whose tangent is rational. Prouhet, E. 

 Liouv. J. Mth. 1 (1856) 215-. 



Arcs, connecting two pairs of straight lines. 



Breton, Ph. Par. A. Pon. Chauss. 20 (1860) 



135-. 

 Area of segments. Grunert, J. A. Grunert 



Arch. 27 (1856) 94-. 

 Chasles's circles. Barisien, E. N. Mathesis 



15 (1895) 129-, 158-, 241- ; 16 (1896) 



265-. 

 . Droz Farny, A. Mathesis 16 (1896) 



193-. 



, properties. Brocard, H. Mathesis 18 

 (1898) 61-. 



Chords through given point. Bilchner, (Dr) . 



Grunert Arch. 3 (1843) 388-. 

 Circle cutting 2 given circles at given angles. 



Ponte Horta, F. da. G. Teix. J. Sc. 1 



(1878) 180- ; 2 (1880) 7-. 

 . [Schiappa] Monteiro, 



A. G. Teix. J. Sc. 2 (1880) 54-, 130-, 174- ; 



5 (*1883) 143- ; 6 (1885) 103-. 

 3 circles at equal angles. Mannheim, A. 



N. A. Mth. 12 (1853) 113-. 



431 



