id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-2252	Bayrak Gurses, Nurten; Yuce, Salim	One-Parameter Planar Motion in Affine Cayley-Klein Planes	2014	8	.pdf	application/pdf	2786	174	72	If we use the equation (8) for a pole point P = (p1, p2) ∈ Pε of the motions Pε/P ′ ε, we have � −u̇2 + ϕ̇(−u1 + x1) Then, if we take the acceleration pole point Q = (q1,q2) ∈ Pε of the motions Pε/P ′ ε, we get the following equation system: ¨ ε � ϕ̇ �2 � x1 − p1 � + εϕ̈ � x2 − p2 � = εϕ̇ ṗ2 ϕ̈ � x1 − p1 � − ε � ϕ̇ �2 � x2 − p2 � = ṗ1ϕ̇ (15) If ε � ϕ̇ �4 + � ϕ̈ �2 6= 0, we obtain the pole point from the above system as follows:            � ε2 � ϕ̇(t) �4 + ε � ϕ̈(t) �2 � q1(t)	cache/ejpam-2252.pdf	txt/ejpam-2252.txt