孙膑出生在阿城、鄄城一带，是孙武的后代子孙。孙膑曾经和庞涓一起学习兵法。庞涓在魏国做事以后，当上了魏惠王的将军，但自认为才能比不上孙膑，便暗中派人把孙膑找来。孙膑到了魏国，庞涓害怕他比自己贤能，忌恨他，就假借罪名砍去他的双脚并施以墨刑，想使他埋没于世不为人知。 齐国使者到大梁来，孙膑以刑徒的身份秘密拜见，用言辞打动齐国使者。齐国使者觉得此人不同凡响，就偷偷地用车把他载回齐国。齐国将军田忌赏识他并像对待客人一样礼待他。田忌经常与齐国诸公子赛马，设重金赌注。孙膑发现他们的马脚力都差不多，可分为上、中、下三等。于是孙膑对田忌说：“您只管下大赌注，我能让您取胜。”田忌相信并答应了他，与齐王和诸公子用千金来赌胜。比赛即将开始，孙膑说：“现在用您的下等马对付他们的上等马，拿您的上等马对付他们的中等马，拿您的中等马对付他们的下等马。”三场比赛完后，田忌一场不胜而两场胜，最终赢得齐王的千金赌注。于是田忌把孙膑推荐给齐威王。威王向他请教兵法后，就把他当作老师。 又过了十三年，魏国与赵国联合攻打韩国，韩国向齐国求救。齐国派田忌率领军队前去救援，径直进军大梁。魏将庞涓听到消息后，率军撤离韩国赶回魏国，但齐军已经越过边界向西挺进了。孙膑对田忌说：“那魏军向来凶悍勇猛，看不起齐兵，齐军有怯懦的名声，善于指挥作战的将领，就要顺着事物发展的趋势加以引导。兵法上说，急行军百里与敌人争利的有可能损失上将军，急行军五十里与敌人争利的只有一半士兵能赶到。命令齐国军队进入魏国境内后先设十万个灶，过一天设五万个灶，再过一天设三万个灶。”庞涓行军三天，非常高兴，说：“我本来就知道齐军怯懦，进入我国境内三天，士兵已经逃跑了一大半。”于是丢下了他的步兵，只和他轻装精锐的骑兵日夜兼程地追击齐军。孙膑估计他的行程,天黑应当赶到马陵。马陵道路狭窄,两旁又多是峻隘险阻,可以埋伏军队,孙膑就叫人砍去树皮,露出白木,写上“庞涓死于此树之下”。然后命令一万名善于射箭的齐兵，隐伏在马陵道两旁，约定说“天黑看见点着的火就万箭齐发”。庞涓果然当晚赶到砍去树皮的大树下，见到白木上写着字，就点火照树干上的字。还没读完，齐军伏兵就万箭齐发，魏军大乱，失去照应。庞涓自知无计可施，败局已定，就拔剑自刎，临死说：“倒成就了这小子的名声！”齐军就乘胜追击，把魏军彻底击溃，俘虏了魏国太子申回国。孙膑因此名扬天下，世人皆传习他的兵法。
Cheng, bin was born in JuanCheng area, is a descendant of wu. PangJuan study together and world war. After working in the PangJuan, when the WeiHuiWang general, but think to match bin, secretly sent to bin. Wei bin to fear than himself, he PangJuan, jealousy, sage, he found his feet to cut charges and impose MoXing, want to make him block in the world is not known. Qi, messenger to beam with punishment ACTS of bin with words "secret identity, qi angel moved. This extraordinary that angel qi, secretly wheeled his qi to load. General tian qi and treat guests appreciated him for his as. Tian qi and the horse prince often hesitate, bet. They gave the bin found nearly everywhere, power, and can be divided into three under. So to tian bin, said: "you just great. I bet that can let you win." Tian believe and promised him, and all the king's daughter to gamble with the prince. Games begin, sun bin, said: "now with your superior inferior horse against their horses and against their fine horse of the medium, medium take your horse horse against their wad horse." After three games, the tian an greatly and two victories, the daughter of king's final win bet. Then the sun bin recommend one tian king. The king's tactics to ask his advice, after regard him as a teacher. Thirteen years later, with the combination of zhao wei against South Korea, South Korea to qi. JiGuoPa tian led to rescue army, went straight into girders. W PangJuan will hear news, Korean army withdrawal rate, but JiJun have wei back across the border into the west. Bin to tian said: "it has been afflicted WeiJun brave, despise JiBing and have good reputation of cowardice, command the troops along the generals, will guide the development trend of things, said a rev-up. Art in the dispute with the enemy may damage the general, a rev-up fifty miles of dispute with the enemy soldiers arrived. Can only half of qi army entered wei command territory, after the first day set 100,000 set, taking a day again." set 30,000 focal PangJuan March 3 days, very happy, said: "I would know JiJun within three days, enter cowardice, soldiers have fled half." Then he threw his light infantry, and elite cavalry travelled day and night without stopping JiJun pursuit. His trip, bin estimate shall be MaLing get dark. MaLingDao narrow side is completed, and Ai dangers, can lie, sun bin sent troops to bark, cut BaiMu, write "PangJuan died under the tree. Then ten thousand of an order, concealed in JiBing MaLingDao sides agreed, "said the fire will burn saw dark." ten thousand arrowses qi PangJuan indeed to cut off the tree bark, see BaiMu written words, according to the words on the ignition trunk. Haven't finished and the ambush was million, WeiJun chaos, arrows qi lost care. PangJuan self-knowledge, has the last word been overwhelmed, wrists, dying disagreements, said: "the kid down the achievement reputation!" JiJun 56-point thrashing, WeiJun was routed and captured the prince "wei. Therefore, the bin kn Sue his art is.