# Non-Euclidean Adventures on the Lenart Sphere: Activities by Istvan Lenart

By Istvan Lenart

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Extra resources for Non-Euclidean Adventures on the Lenart Sphere: Activities Comparing Planar and Spherical Geometry

Sample text

Q ì P lpl 1. l- . "g lvl rts. [J n ! z;. 1 ' J ,3- È :. tõ | N = l' . | < t JF . ir lNl Io l a,',P X ãs õ É ãs. \$ s l F"& l g lHl t| Àl *l"l'. {È ' Ès q€ \ vG ìn ^ 60 rr -\ Ël l\- l \l-,/ ;,oBaarn"q* "r"q^ fi 60 éoO e|^ lleqs araqm o) rs gËg Égïr flilü str*Ëgr [F i F € 5 tr ËeËgË sË+a\$Ë:5'i 3E =o 3 3 'Ê I s'-,i, g i+gãs. i P ãi i l 3 U. HË. * Eõ ï ìF. "" ï âE ç ï : @ Èã-H í d +É : Èt 5 : E-iH Ë â . 66 "E 3'a 3 ot ôf Ë'G oo rv _@rP 3E i 6 õ*--'"Ë N +3 F I õ: È:g 8: o ã s= ã É_ crË < cr" õ ã -. qg Ëã: Í€ã Í õd :ï1.

O õ tan f ií*uu ÈË Fiif ã 60 ;,o6 eanlleqs qãqrur q) 60 o Ë r-:-r + g ã tvl U ^3 l-l J ^ *H ^ E Ë li"l o t.. I ^ l' D q + lGl r---'l I Nì I l( ,l -' l '- l l- : I | | B t.. | 5 O lu r l ^H *< = . lF l \$ xlNl F. ü xo rÈs E {ï . ) ËiË:ÊËË* FnrË s Y +0)^-o . ì- . Y -íl :r a --6 C,sá =S ô o È N ô I x -Ë F . N I \' '\) ãilÈ ç ì^. q ì P lpl 1. l- . "g lvl rts. [J n ! z;. 1 ' J ,3- È :. tõ | N = l' . | < t JF . ir lNl Io l a,',P X ãs õ É ãs. \$ s l F"& l g lHl t| Àl *l"l'. {È ' Ès q€ \ vG ìn ^ 60 rr -\ Ël l\- l \l-,/ ;,oBaarn"q* "r"q^ fi 60 éoO e|^ lleqs araqm o) rs gËg Égïr flilü str*Ëgr [F i F € 5 tr ËeËgË sË+a\$Ë:5'i 3E =o 3 3 'Ê I s'-,i, g i+gãs.

6 q ' e dqiÈ:ãe{ÊË; ïÈ: üP ó1. :s: -Y5 U9 íDfÈ 'õ 1 i! iEËfÈiË=el ãl p\$ggE+ãËÉ gí Fi í iE ÊË;'ÈÉb I ã g 's';ô= È gr í n çi E"i\$ cëË\$\$\$\$\$È õ *; :ã -;F; ã ãFèË- Ë õ 3 E; i E 3 ï È1 = Éë j. e . s??? Ìfì (i < tst ã q=esesse o: (o( O, O( o! O( O( o: Íi)( õ o o o o o 3 3 3 3 3 3 o o o o (D o f, êo 2. a 9,. j' a N x D o. x õ Ë c ,ç N s8 tf- - - xo õ Ê c3 5 c -N E o o õ o Ã 6 o o o o o õ l:! t 5 E! N o 0) X x Â) E' f N o ah o a õ Ë! r_ EL o N 5 o a Ér 3 D x x g 3 H ã i I8 \$! +; E l'-' i' ' X D ,^ ï", l5 ;õ Ë .