Incenters in Cyclic Quadrilateral: What is this about? A Mathematical Droodle
An Old Japanese Theorem
พิสูจน์ทฤษฎีบทญี่ปุ่นสำหรับรูปสี่เหลี่ยมวงกลมล้อม
Cyclic Quadrilaterals Properties
↑ Incircle Properties
Cyclic Quadrilateral
The Incircle of a triangle Properies
กันยายน 10, 2021
ทฤษฎ, บทญ, นสำหร, บร, ปส, เหล, ยมวงกลมล, อม, งก, ามภาษา, ในบทความน, ไว, ให, านและผ, วมแก, ไขบทความศ, กษาเพ, มเต, มโดยสะดวก, เน, องจากว, เด, ยภาษาไทยย, งไม, บทความด, งกล, าว, กระน, ควรร, บสร, างเป, นบทความโดยเร, วท, ดใน, เรขาคณ, งกฤษ, japanese, theorem, cyclic,. lingkkhamphasa inbthkhwamni miiwihphuxanaelaphurwmaekikhbthkhwamsuksaephimetimodysadwk enuxngcakwikiphiediyphasaithyyngimmibthkhwamdngklaw krann khwrribsrangepnbthkhwamodyerwthisudin erkhakhnit thvsdibthyipunsahrbrupsiehliymwngklmlxm xngkvs Japanese theorem for cyclic quadrilaterals khuxthvsdithirabuwa cudsunyklangkhxngwngklmthiihythisudthibrrcuinsamehliymhnungid incircle of a triangle 1 kh aelasamehliymnnepnsamehliymthixyuphayinrupsiehliymwngklmlxm k kh Cyclic quadrilaterals idxikthihnung cudsunyklangkhxngwngklmdngthiklawmacaepnkhuxcudyxd Vertex khxngsiehliymphunpha 2 3 odyimesiynyyathwip hakaebng A B C D displaystyle square ABCD tamesnthaeyngmumkhxngmn eracaidrupsamehliymsirupsxnknxyu esnthaeyngmumaetlaesnthaihekidsamehliymkhunma 2 xn nnkhux A B D A B C B C D A C D displaystyle triangle ABD triangle ABC triangle BCD triangle ACD carupcaehnwacudsunyklangkhxngwngklmthixyubrrcuxyuphayinsamehliymthngsi epncudyxdkhxngsiehliymphunphaxikthihnung enuxha 1 phisucn 4 2 hmayehtu 3 duephim 4 xangxingphisucn 4 aekikh rupthiichinkarxthibaykarphisucn odyimesiynyyathwip kahndih A B C D displaystyle square ABCD khuxrupsiehliymwngklmlxm dngphaph aelakahndih M 1 M 2 M 3 M 4 displaystyle M 1 M 2 M 3 M 4 epnwngklmthiihythisudthisamarthsmphsdanprakxbsamehliymidthngsamdanid dngphaph inthini M 1 M 2 M 3 M 4 displaystyle M 1 M 2 M 3 M 4 khuxwngklmthisxdkhlxngkbsamehliym A B D A B C B C D A C D displaystyle triangle ABD triangle ABC triangle BCD triangle ACD tamladb cakrupcaehnwa A C D A B D displaystyle angle ACD angle ABD ephraaepnmumdantrngkhamswnkhxngwngklm AD xnediywkn aelakahndih C B a A D 2 displaystyle angle C angle B alpha frac AD 2 cak A C D displaystyle triangle ACD caphbwa A M 4 D 90 a 2 displaystyle angle AM 4 D 90 frac alpha 2 cak A D B displaystyle triangle ADB caphbwa A M 1 D 90 a 2 displaystyle angle AM 1 D 90 frac alpha 2 enuxngcak A M 4 D A M 1 D 90 a 2 displaystyle angle AM 4 D angle AM 1 D 90 frac alpha 2 dngnn A M 1 M 4 D displaystyle square AM 1 M 4 D epnrupsiehliymwngklmlxm sunginthinikhuxwngklmsiekhiywenuxngcak A M 1 M 4 D displaystyle square AM 1 M 4 D epnrupsiehliymwngklmlxmaelwdngnncaidwa M 1 displaystyle angle M 1 mumsiaedngthub mikhaethakb A D M 4 A D C 2 displaystyle angle ADM 4 angle frac ADC 2 kh ephraaepnkhunsmbtikhxngrupsiehliymwngklmlxm 5 inthanxngediywkn A M 1 M 2 B displaystyle square AM 1 M 2 B epnrupsiehliymwngklmlxmkhxngwngklmsismdngrupenuxngcak A M 1 M 2 B displaystyle square AM 1 M 2 B epnrupsiehliymwngklmlxm aelwdngnncaidwa M 1 displaystyle angle M 1 mumsifathub mikhaethakb A B M 2 A B C 2 displaystyle angle ABM 2 angle frac ABC 2 kh dwyehtuphlediywkbthixangkhangtnkbmum M 1 displaystyle angle M 1 enuxngcak A B C D displaystyle square ABCD epnrupsiehliymwngklmlxm dngnnmumdankhxngcudyxdtrngkhamknmiphlrwmepn 180 xngsa 6 A B C A D C 180 displaystyle angle ABC angle ADC 180 cakkhxmulthnghmdkhangtneracaidwamum M 1 displaystyle angle M 1 thirwmthngmumaedngthubaelamumfathub mikhaethakb A B M 2 A D M 4 A B C 2 A D C 2 A B C A D C 2 180 2 90 displaystyle angle ABM 2 angle ADM 4 angle frac ABC 2 angle frac ADC 2 frac angle ABC angle ADC 2 frac 180 2 90 sungcaidwamum M 1 displaystyle angle M 1 thirwmthngmumaedngthubaelamumfathubepnmumchakinthanxngediywkbkarphisucnkhangtneracaphbwa mum M 2 displaystyle angle M 2 M 3 displaystyle angle M 3 aela M 4 displaystyle angle M 4 epnmumchakechnediywkndngnnaesdngwa M 1 M 2 M 3 M 4 displaystyle square M 1 M 2 M 3 M 4 epnsiehliymphunpha stph hmayehtu aekikhk sphthbyytirachbnthitysthan khnitsastr 19 k kh 2547kh rupsiehliymwngklmlxm Cyclic quadrilaterals khuxrupsiehliymidthimicudyxdthngsixyubnesnrxbwngkhxngwngklm 7 kh cudsunyklangkhxngwngklmthiihythisudthisamarthsmphsdanthngsamkhxngsamehliym Incircle center nnmikhunsmbtikhux 6 epncudediywkbcudtdkhxngesnaebngmumkhxngsamehliymaetladan Bisector 8 caxyuphayinsamehliymthiwngklmnnthukbrrcuxyutlxdduephim aekikhCarnot s theorem Sangaku Wasanxangxing aekikh The Incenter of a triangle properties Incenters in Cyclic Quadrilateral What is this about A Mathematical Droodle An Old Japanese Theorem phisucnthvsdibthyipunsahrbrupsiehliymwngklmlxm Cyclic Quadrilaterals Properties 6 0 6 1 Incircle Properties Cyclic Quadrilateral The Incircle of a triangle Properiesekhathungcak https th wikipedia org w index php title thvsdibthyipunsahrbrupsiehliymwngklmlxm amp oldid 5311560, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,