Schedule of Classification 



PAGE 



4- Dimensional Space 413-414 

 n- Dimensional Space 414415 

 Fundamental Principles 415-416 

 Non-Euclidean geometry 417-418 

 Theory of Parallels 419-420 

 6420 Topology of space and hyper- 

 space. (See also 3620, 



8075.) 421 



6430 Methods of analytical geo- 

 metry. (See also 0840.) 423 

 Coordinates ... 425-427 



Elementary Geometry. 



6800 General 429 



6810 Planimetry ; straight lines, 



and circles ... ... 431 



Circles. (See also 2880.) 431-435 

 Circle touching 3 given 

 circles. (Apollonian 



problem.} 432 



Quadrature of the Circle 434 

 Ratio of Diameter to 

 Circumference. (See 

 also 2920.) ... 434-435 



Polygons. (See also 



7210.) 437-438 



Regular polygons 438-439 



Porisms. (See also 4050 



and 7210.) ... 439-440 



Pythagorean theorem . . . 440 

 Quadrilaterals. (See also 



7210.) 



Straight lines 



Triangles (including Cir- 

 cles related thereto). 

 (For Conic Sections 

 related to Triangles 

 see 7210.) ... 442^49 



Circles of the Triangle 443-444 

 Malfattfs problem ... 444 

 Nine-point or Feuerbach 



Circle 444 



Remarkable Points of the 



Triangle ... 446-447 



6820 Stereometry ; straight lines, 

 planes, and spheres ; poly- 



hedra 449 



Mensuration of volumes 450-451 



Polyhedra. (See also 8075.) 45 2-456 



Regular Polyhedra ... 454 



Tetrahedra ... 455-456 



Spheres 457-460 



Contacts 458-459 



6830 Trigonometry, plane and 



spherical ... ... ... 461 



Division of Angles and 



Circular Arcs 462-463 



Trisection ... 462-463 



Formulae of Plane Trigo- 

 nometry ... 463-465 

 Plane Triangles 466-467 

 Spherical Trigonometry 468-471 



441 

 44^ 



PAGE 



Formulas of Spherical 



Trigonometry 468-469 



Spherical Triangles 470-471 

 6840 Descriptive geometry ; ' per- 



spective ......... 472 



Anharmonic or Cross- 



Ratio ...... 472-473 



Axonometry . . . 473-474 



Involution ... ... 475 



Perspective ... 475-476 



Practical Solid Geometry 477 -478 

 Protective Geometry 478-480 

 Stereographic Projec- 

 tions, and other Pro- 

 jections of the Sphere. 

 (See also 8840 and 

 Geography 83.) ... 480 

 Trans versals . . . 480-48 1 



Geometry of Conies and Quadrics. 

 7200 



481 



7210 



482 

 483 



484 

 485 



7230 



General ......... 



Equations relating to 



Conies and Quadrics 

 Metrical and projective pro- 

 perties of conies ... ... 



Conies determined by 



given Points or Tan- 



gents, and Methods of 



Determination . . . 



Contacts ......... 



Curvature of Conies. (See 



also 8430.) ... 485-486 



Ellipses ...... 486-487 



Equations and Coordi- 



nates ...... 487-488 



Foci ...... 488-489 



Hyperbolas ...... 489 



Normals ... 490-491 



Parabola ... 491-492 



Pascal's hexagram, Bri- 

 anckon's hexagon, and 

 connected figures. (See 

 also 807 5.)' ... 492-493 



Polars and Polar Re- 



ciprocals ... 493-494 



Polygons related to 

 Conies. (See also 

 6810.) ......... 494 



Poncelet's Polygons, Por- 

 isms. (See also 4050 

 and 6810.) ... 494-495 



Quadrilaterals, Quad- 

 rangles, and related 

 Conies. (See also 

 6810.) ......... 496 



Tangents ... 496-497 



Triangles, and related 

 Conies. (See also 

 6810.) ...... 497-499 



Systems of conies. (See also 



8070 and 8090.) ...... 499 



Iv 



