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Old 05 ÁԶعÒ¹ 2010, 00:51
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¨Ò¡â¨·ÂìµÑÇÍÂèÒ§·Õè 1 ¶Ö§ 16 㹤ÇÒÁàËç¹ #20 ¹Ñé¹ à¾×è͹ªÒÇ MC ÊÃØ»ËÅÑ¡¡Ò÷ÕèªÑ´à¨¹
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2. ¨Ðãªé¼Å¢Í§·Äɮպ·ä˹µéͧÁÕ à赯 ¢Í§·Äɮպ·¹Ñé¹ ÍÂèÒ§ÊÁºÙóì äÁèãªèÍéÒ§à¾Õ§ºÒ§à˵Øà·èÒ¹Ñé¹ àªè¹

¡. ÊÒÁàËÅÕèÂÁÁÕ´éÒ¹à·èҡѹ 2 ´éÒ¹ ÁØÁà·èҡѹ 1 ÁØÁ ¨Ðà·èҡѹʹԷäÁèä´é ¹Í¡¨Ò¡ÁØÁ·Õèà·èҡѹ¹Ñé¹à»ç¹ ÁØÁã¹
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(·.º.4)

¢. àÊé¹»Ô´ËÑÇ·éÒ¢éÒ§à´ÕÂǡѹ¢Í§àÊé¹¢¹Ò¹ ÂèÍÁ¢¹Ò¹¡Ñ¹ ´Ñ§¹Õé¼Ô´ ¹Í¡¨Ò¡àÊé¹¢¹Ò¹¹Ñé¹ µéͧà·èҡѹ´éÇ (·.º.20)

¤. ÊÕèàËÅÕèÂÁ 2 ÃÙ» µÑé§ÍÂÙ躹°Ò¹Íѹà´ÕÂǡѹ áÅÐÍÂÙèÃÐËÇèÒ§àÊé¹¢¹Ò¹¤Ùèà´ÕÂǡѹ ÂèÍÁÁÕ¾×é¹·Õèà·èҡѹ ´Ñ§¹Õé¼Ô´
¹Í¡¨Ò¡à»ç¹ ÊÕèàËÅÕèÂÁ´éÒ¹¢¹Ò¹ (·.º.24)

§. ÁØÁ·Õè¨Ø´ÈÙ¹Âì¡ÅÒ§ÂèÍÁà»ç¹ 2 à·èҢͧÁØÁ·ÕèàÊé¹Ãͺǧ ´Ñ§¹Õé¼Ô´ ¹Í¡¨Ò¡ÁØÁ¹Ñ鹨еéͧµÑé§ÍÂÙ躹 Êèǹâ¤é§
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(·.º.38)

¨. ÁØÁà·èҡѹáÅéÇÍÒÃì¤à·èҡѹ ËÃ×ÍÍÒÃì¤à·èҡѹáÅéÇÁØÁà·èҡѹ ËÃ×ͤÍÃì´à·èҡѹ·ÓãËéÍÒÃì¤à·èҡѹ
ËÃ×ÍÍÒÃì¤à·èҡѹ·ÓãËé¤ÍÃì´à·èҡѹ ËÃ×ÍÁØÁä´éÊÑ´Êèǹ¡ÑºÍÒÃì¤ àËÅèÒ¹Õé¨Ðà»ç¹¨ÃÔ§ä´éàÁ×èÍ Ç§¡ÅÁà·èҡѹ
ËÃ×Í Ç§¡ÅÁÍѹà´ÕÂǡѹ áÅÐÁØÁ¹Ñ鹨еéͧà»ç¹ ÁØÁ·Õè¨Ø´ÈÙ¹Âì¡ÅÒ§ËÃ×Í·ÕèàÊé¹Ãͺǧ à·èÒ¹Ñé¹ (·.º.42,
43, 44, 45, 69)

ËÁÒÂà赯 ¹Õèà»ç¹à¾Õ§µÑÇÍÂèÒ§¾Íà»ç¹Êѧࢻà·èÒ¹Ñé¹

3. ¤ÓÇèÒÁØÁ·Õèà·èҡѹËÃ×Í´éÒ¹·Õèà·èҡѹ¹Ñé¹ µéͧà»ç¹´éÒ¹áÅÐÁØÁ·Õèà»ç¹ ÊÁ¹Ñ¡ѹ (Corresponding) ËÃ×Í´éÒ¹·Õèà»ç¹
ÊÑ´Êèǹ¡Ñ¹àÁ×èÍÁØÁà·èҡѹ ¡çµéͧà»ç¹´éÒ¹·Õè ÊÁ¹Ñ¡ѹ (àªè¹ ·.º.4, 7, 17, 18, 62, 63, 9)

4. ÍÂèÒ ÊÃéÒ§à¡Ô¹¢Íºà¢µ ä» àªè¹
¡. â§àÊ鹵çÃÐËÇèÒ§¨Ø´ 2 ¨Ø´ãËéä»áºè§¤ÃÖè§ÁØÁËÃ×Íáºè§¤ÃÖè§ËÃ×͵Ñ駩ҡËÃ×Í¢¹Ò¹Ï ¡ÑºàÊ鹵çÍ×è¹æ äÁèä´é·Ñ駹Ñé¹
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5. µÑÇÍÑ¡É÷Õè¤ÅéÒÂæ ¡Ñ¹ËÃ×Íà¤Ã×èͧËÁÒÂËÃ×͵ÑÇàÅ¢·Õè¤ÅéÒ¡ѺµÑÇÍÑ¡Éà äÁè¤ÇùÓÁÒãªé´éÇ¡ѹ (¶éÒäÁè¨Óà»ç¹)
à¾ÃÒШзÓãËéà¡Ô´Ëŧ¼Ô´ àªè¹ µÑÇ E ¡ÑºµÑÇ F, µÑÇ O ¡ÑºµÑÇ Q ¡ÑºµÑÇ D ¡ÑºàÅ¢ 0, µÑÇ X µÑÇà¤Ã×èͧËÁÒ¤ٳ (x) Ï

6. ¨Ðãªéº·ÊÃéҧ㴵éͧà¢Õ¹ÃÙ»ãËéàËÁ×͹º·ÊÃéÒ§¹Ñé¹ ·ÕÁÑ¡¨Ð¼Ô´¾ÅÒ´ºèÍÂæ ¡ç¤×Í º·ÊÃéÒ§ 24 ¤×Í ¡ÒÃÊÃéҧૡàÁ¹µì
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ÍÂèÒ§ÀÒ¹͡ÍÍ¡à»ç¹ÍѵÃÒÊèǹ·Õè¡Ó˹´ãËé (µÒÁ º·ÊÃéÒ§·Õè 37) (´ÙµÑÇÍÂèÒ§¾ÃéÍÁÃÙ»»ÃСͺ·Õèà»ç¹¡ÒÃáºè§
ÍѵÃÒÊèǹÀÒ¹͡µÒÁÃÙ»·ÕèṺÁÒ)

7. ÊÒÁàËÅÕèÂÁ·Õèà·èҡѹʹԷ ÍÒ¨¨ÐÍéÒ§¾×é¹·Õèà·èҡѹ, ´éÒ¹à·èҡѹ, ÁØÁà·èҡѹ áÅÐà»ç¹ Similar (¤ÅéÒÂ) ¡Ñ¹ä´é
áµèÊÒÁàËÅÕèÂÁ·ÕèÁÕ¾×é¹·Õèà·èҡѹ¨ÐÍéÒ§´éÒ¹ËÃ×ÍÁØÁà·èҡѹäÁèä´é ËÃ×ÍÊÒÁàËÅÕèÂÁ·Õèà»ç¹ Similar ¡Ñ¹¨ÐÍéÒ§ ´éÒ¹à·èҡѹ
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8. ¨ÓàÃ×èͧ¢Í§µÑǺ·äÁèä´é (äÁè¨Óà»ç¹µéͧ¨ÓÇèÒº··Õèà·èÒäà áµèµéͧ¨ÓàÃ×èͧÃÒǢͧº·¹Ñé¹æ ä´é) àªè¹¶ÒÁÇèÒ
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9. ÃÐÇѧàÃ×èͧ¢éÍ¡àÇ鹢ͧºÒ§º· àªè¹ àÃÒÊÒÁÒöÊÃéҧǧ¡ÅÁãËé¼èÒ¹ä´éà¾Õ§ 3 ¨Ø´ áµè¶éÒÁÕ 4 ¨Ø´ áÅÐàÁ×èÍâ§àÊ鹵ç
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06 ÁԶعÒ¹ 2010 19:49 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 4 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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Old 05 ÁԶعÒ¹ 2010, 17:45
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ÂѧäÁè¤èÍÂÁÕ¤¹Åͧâ¾Êµìá¡é⨷ÂìµÑÇÍÂèÒ§·Ñé§ 16 ¢éÍàÅÂ!

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Old 05 ÁԶعÒ¹ 2010, 18:54
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ÍéÒ§ÍÔ§:
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µÑÇÍÂèÒ§·Õè 1 ǧ¡ÅÁ 2 ǧµÑ´¡Ñ¹·Õè P, Q ÁÕàÊé¹ÊÑÁ¼ÑÊ 2 àÊé¹ ÁÒÊÑÁ¼ÑÊǧ¡ÅÁ·Ñé§ 2 ·Õè P áÅÐ仾º¡ÑºàÊé¹Ãͺǧ¢Í§
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Old 05 ÁԶعÒ¹ 2010, 20:00
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Old 06 ÁԶعÒ¹ 2010, 09:01
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... µèͨҡ¤ÇÒÁàËç¹ #31

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ÇÔªÒàâҤ³Ôµ¹Õé ¹Ñ¡àÃÕ¹ÁÑ¡¨ÐãªéÊÒµÒÁÒªèÇÂàËÅ×Í㹡ÒþÔÊÙ¨¹ìÁÒ¡à¡Ô¹ä» ¤ÇÃãªéáµè¾Íà»ç¹ÊѧࢻÇèÒ
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¡. µÒÁ⨷Âì ËÃ×͵ÒÁÊÔ觷Õè¡Ó˹´ãËé (Given) áµèµéͧÁÕã¹â¨·Âì¢é͹Ñ鹨ÃÔ§æ äÁèãªèµÒÁ⨷Âì¢éÍÍ×è¹

¢. ¤ÇÒÁ¨ÃÔ§ ·ÕèäÁèµéͧ¾ÔÊÙ¨¹ì (Axiom)

¤. ÊѨ¾¨¹ì (Postulate)

§. ¤Ó¹ÔÂÒÁ (Definition)

¨. ÊÃéÒ§ (Construction) àÃÒÊÃéÒ§à¾×èÍÁÒªèÇÂ㹡ÒþÔÊÙ¨¹ì¢Í§àÃÒ àªè¹ ÅÒ¡àÊé¹¹Ñé¹ãËéä»·ÓÍÐäáѺã¤Ã
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áµèÍÂèÒÅ×ÁÇèÒ µéͧÊÃéÒ§äÁèà¡Ô¹¢Íºà¢µ àÃÒÊÃéÒ§äÇéÍÂèÒ§äáç¹ÓÁÒÍéÒ§ä´é

©. ¾ÔÊÙ¨¹ìÁÒáÅéÇ (Proved) àªè¹àÃÒ¾ÔÊÙ¨¹ìÁÒáÅéÇÇèÒ ÁØÁA = ÁØÁB àÃÒµéͧ¹Óä»ãªé㹵͹ËÅѧ¢Í§¢é͹Õé
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ª. ·Äɮպ· (Theorem) ËÃ×Í º·ÊÃéÒ§ (Problem)

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06 ÁԶعÒ¹ 2010 09:11 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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Old 06 ÁԶعÒ¹ 2010, 14:57
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  #37  
Old 06 ÁԶعÒ¹ 2010, 19:22
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¡Ó˹´ãËé AB = AC áÅÐ XY // BC ¨Ðµéͧ¾ÔÊÙ¨¹ìÇèÒ X, Y, C, B à»ç¹ Concyclic
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áµè ÁØÁ 2 + ÁØÁ 3 = 2 ÁØÁ©Ò¡ (·.º.14)
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06 ÁԶعÒ¹ 2010 19:52 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 3 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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Old 07 ÁԶعÒ¹ 2010, 00:47
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... µèͨҡ¤ÇÒÁàËç¹·ÕèáÅéÇ

º··Õè 1 ËÅÑ¡¡ÒäԴ´éÒ¹ 2 ´éÒ¹à·èҡѹ

1. ¶éÒà»ç¹´éÒ¹¢Í§ÊÒÁàËÅÕèÂÁÃÙ»à´ÕÂǡѹ ¡ç¾ÂÒÂÒÁ¤Ô´ãËéÁØÁµÃ§¢éÒÁ¡Ñº´éÒ¹¹Ñé¹à·èҡѹ¡è͹ (·.º.6)

2. ¶éÒà»ç¹´éÒ¹µÃ§¢éÒÁ¢Í§ÃÙ»ÊÕèàËÅÕèÂÁ ¡ç¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹ÊÕèàËÅÕèÂÁ´éÒ¹¢¹Ò¹ (·.º.21)

3. ¶éÒà»ç¹´éÒ¹¢Í§ÃÙ»ÊÒÁàËÅÕèÂÁ 2 ÃÙ» ¡ç¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéÊÒÁàËÅÕèÂÁ·Ñé§Êͧ¹Ñé¹à·èҡѹʹԷ (·.º.4,
$\quad$ 7, 17, 18) Ẻ¹Õé¹ÔÂÁ·ÕèÊØ´

4. ¶éÒà»ç¹¤ÍÃ촢ͧǧ¡ÅÁ ¡ç¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéËèÒ§¨Ò¡¨Ø´ÈÙ¹Âì¡ÅÒ§à·èҡѹ (·.º.34) ËÃ×;ÔÊÙ¨¹ì
$\quad$ ãËéÁØÁà·èҡѹ¡è͹ áÅéÇÍéÒ§ÍÒÃì¤à·èҡѹ µèÍ仡çÍéÒ§¤ÍÃì´à·èҡѹ (·.º. 42, 45)

5. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹àÊé¹ÊÑÁ¼ÑÊ (á·Ã¡ ·.º. 47)

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$\quad$ µèÒ§¡çà·èҡѺ z ËÃ×Íà»ç¹ 2 à·èÒ ËÃ×Íà»ç¹ 1/2 ¢Í§ z ¡çä´é

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$\quad$ ¢Í§ x = y áÅéÇÊèǹ·ÕèàËÅ×ͧ͢ x = z ¡çä´é áµè¶éÒ´éÒ¹àËÅèÒ¹Ñé¹à»ç¹àÊé¹µÑ駩ҡ ÊÙéÇÔ¸Õ¾ÂÒÂÒÁ
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07 ÁԶعÒ¹ 2010 00:50 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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Old 08 ÁԶعÒ¹ 2010, 06:57
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áÇÐà¢éÒÁÒà©ÅµÑÇÍÂèÒ§·Õè 1 ... ¼Á¤§â¾Êµìà©ÅÂá¤èµÑÇÍÂèÒ§·Õè 1 ¹Õé ¡ÑºµÑÇÍÂèÒ§·Õè 12 ·Õèâ¾Êµìä»áÅéÇ
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08 ÁԶعÒ¹ 2010 12:40 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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Old 08 ÁԶعÒ¹ 2010, 12:49
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ËÒ¡¼ÙéÍèÒ¹ÊѧࡵáÅÐÈÖ¡ÉÒµÑÇÍÂèÒ§·Õè 1 áÅÐ 12 ãËéÅÐàÍÕ´ ÃÇÁ·Ñ駷º·Ç¹à¹×éÍËÒ¡è͹˹éÒ¹Ñé¹·Ñé§ËÁ´
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08 ÁԶعÒ¹ 2010 12:51 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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08 ÁԶعÒ¹ 2010 16:55 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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  #43  
Old 09 ÁԶعÒ¹ 2010, 06:33
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09 ÁԶعÒ¹ 2010 06:42 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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  #44  
Old 09 ÁԶعÒ¹ 2010, 20:38
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ÁÒáÅéǤÃѺ ¤Óá¹Ð¹Óà¡ÕèÂǡѺËÅÑ¡¡ÒäԴº··Õè 2
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1. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéÁØÁ»ÃЪԴà·èҡѹ ËÃ×Íà»ç¹ 1/2 ¢Í§ÁØÁ»ÃЪԴÃÇÁ¡Ñ¹ (·.º.1)

2. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹àÊé¹·ÕèÊÑé¹·ÕèÊØ´ (·.º.12)

3. â§ãËéà»ç¹ÃÙ»ÊÒÁàËÅÕèÂÁ áÅéǾÂÒÂÒÁ¾ÔÊÙ¨¹ìãËé¼ÅºÇ¡¢Í§ÊͧÁØÁ = 1 ÁØÁ©Ò¡
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$\quad$ ËÃ×Í A + C = B ¨ÐÍéÒ§ä´éÇèÒ B à»ç¹ÁØÁ©Ò¡ (·.º.16)

4. àÁ×èÍÁÕàÊé¹¢¹Ò¹¡ÑºàÊé¹¢ÇÒ§ ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéÁØÁÀÒÂã¹¢éÒ§à´ÕÂǡѹà·èҡѹ (·.º.14)

5. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéÊÕèàËÅÕèÂÁ¨ÑµØÃÑʺ¹´éÒ¹µÃ§¢éÒÁÁØÁ¹Ñé¹ = ¼ÅºÇ¡¢Í§ÊÕèàËÅÕèÂÁ¨ÑµØÃÑÊ
$\quad$ º¹´éÒ¹»ÃСͺÁØÁ (·.º.30)

6. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹àÊé¹·ÕèÅÒ¡¨Ò¡¨Ø´ÈÙ¹Âì¡ÅÒ§¢Í§Ç§¡ÅÁ ÁÒáºè§¤ÃÖ觤ÍÃì´ (·.º.31)

7. àÁ×èÍà»ç¹ÃÙ»ÊÕèàËÅÕèÂÁºÃèØã¹Ç§¡ÅÁ ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéÁØÁµÃ§¢éÒÁà·èҡѹ (·.º.40)

8. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹ÁØÁ㹤ÃÖè§Ç§¡ÅÁ (·.º.41)

9. ¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà»ç¹àÊé¹ÊÑÁ¼ÑÊǧ¡ÑºÃÑÈÁÕ (·.º.46)

10. ¶éÒã¹ÃÙ»ÁÕÁØÁ·Õèà»ç¹ÁØÁ©Ò¡ÍÂÙèáÅéÇ ¡ç¾ÂÒÂÒÁ¾ÔÊÙ¨¹ìãËéà·èҡѺÁØÁ·Õèà»ç¹ÁØÁ©Ò¡¹Ñé¹
$\quad\;\;$ áÅÐãªéËÅѡࡳ±ìàËÁ×͹¡Ñº¾ÔÊÙ¨¹ìÁØÁà·èҡѹ ´éÒ¹à·èҡѹ ´Ñ§ã¹º··Õè 1 ÁÒªèÇÂ
$\quad\;\;$ àÃ×èͧÁØÁà·èҡѹ¹Õé¤ÇäԴ¶Ö§·Äɮպ·µèÍ仹ÕéÁÒ»ÃСͺ´éÇ ¤×Í
$\quad\;\;$ ¡. ÁØÁã¹à«¡àÁ¹µì¢Í§Ç§¡ÅÁà´ÕÂǡѹÂèÍÁà·èҡѹ (·.º.39)
$\quad\;\;$ ¢. ÁØÁ·ÕèàËÅ×ͧ͢ÃÙ»ÊÒÁàËÅÕèÂÁà·èҡѹ (·.º.16)
$\quad\;\;$ ¤. ÁØÁáÂé§à·èҡѹ áÅÐÁØÁÀÒ¹͡ = ÁØÁÀÒÂã¹¢éÒ§à´ÕÂǡѹ (·.º.14)
$\quad\;\;$ §. ÁØÁà¡Ô´¨Ò¡¤ÍÃ촡ѺàÊé¹ÊÑÁ¼ÑÊ à·èҡѺÁØÁã¹à«¡àÁ¹µìµÃ§¢éÒÁ (·.º.49)
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09 ÁԶعÒ¹ 2010 20:39 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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  #45  
Old 10 ÁԶعÒ¹ 2010, 06:58
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áÇÐà¢éÒÁÒâ¾Êµìà©ÅµÑÇÍÂèÒ§·Õè 17 à¾×èÍãËéàËç¹á¹Ç·Ò§á¡é⨷Â캷·Õè 2 ... µÑÇÍÂèÒ§Í×è¹·Ôé§äÇéãËé¤Ô´àÅ蹤ÃѺ!
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10 ÁԶعÒ¹ 2010 07:00 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Switchgear
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"Songkran" Festival Siren-Of-Step ¿ÃÕÊäµÅì 11 11 àÁÉÒ¹ 2010 20:29
Teach Me "Homothety" The jumpers àâҤ³Ôµ 2 29 ¾ÄȨԡÒ¹ 2009 21:33
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