ADOPT
发表于 2025-4-1 03:00:19
http://reply.papertrans.cn/32/3165/316423/316423_61.png
Ringworm
发表于 2025-4-1 07:44:26
Collineations of an Affine Plane (CAP),Collineations are bijections of a plane onto itself which map lines to lines; this chapter explores the elementary properties of collineations on an incidence plane on which the parallel axiom holds. Several types of collineations are studied, among them translations, dilations, and axial affinities.
larder
发表于 2025-4-1 11:29:25
http://reply.papertrans.cn/32/3165/316423/316423_63.png
CHOIR
发表于 2025-4-1 18:14:35
http://reply.papertrans.cn/32/3165/316423/316423_64.png
Dappled
发表于 2025-4-1 18:38:35
Rotations About a Point of a Neutral Plane (ROT),This chapter defines point rotations and point reflections (about a point .) on a neutral plane, and derives their elementary properties to the extent possible without a parallel axiom. It ends with a classification of isometries of a neutral plane, and proof of the existence of a “square root” of a rotation.
ENNUI
发表于 2025-4-2 00:36:34
http://reply.papertrans.cn/32/3165/316423/316423_66.png
GEAR
发表于 2025-4-2 03:35:15
http://reply.papertrans.cn/32/3165/316423/316423_67.png
会议
发表于 2025-4-2 10:15:46
Belineations on a Euclidean/LUB Plane (AA),This brief chapter shows that on a Euclidean/LUB plane, any non-identity belineation which has more than one fixed point and is not the identity, is an axial affinity; it concludes with a classification of belineations. To prove the main result of this chapter we need Axiom LUB; this explains its placement after the chapter on real numbers.