Gabatarwar Tarihi na Farko na Tarihi na Randanƙancin Matsalar Matsalar Matsalar Angulu

(Tare da amfani kawai na kamfas & ba mai aunawa ba)

Daga Giorgios (Gio) Vassiliou (Girka) - Mai Zane-zane - Wanda ya kirkiro kuma ya kirkiri Transcedental Surrealism a cikin zane-zane - Mai zane

"Δος μοι πα στω και ταν γαν κινάσω!"
"Bani wuri na tsaya zan matsawa Duniya!"

Αrchimides na Syracuse

TABBATAR DA JIMA'I

(DIAGRAM 1)

Da farko mun zana wani bazuwar kusurwa. Sannan zamu juya wannan kusurwa zuwa rubutaccen ɗayan da'irar. Mun zana da'irar (O, OA '). Munga maki A 'da B' sune mahaɗan kusurwoyin kusurwa tare da da'irar.Muna zana bisector OD na kwana A'OB '.

(DIAGRAM 2)

Daga tsakiyar M na OD zamu zana da'ira (M, MD), kuma intetsections na kwana tare da sabon da'irar sune maki A, B. Yanzu zamuyi aiki tare da AOB. Ci gaba muna haɓaka daga aya O gefen kusurwa AO, OB kuma mun ƙirƙiri sabon kusurwa ta tsakiya. Yanzu zamu zana da'irar (O, OA ") r = OA" = MD. Sabuwar kusurwa ta tsakiya A "OB" (azaman tsawo) yayi daidai da kwana AOB. Kuma kusurwa A "OB" shine kusurwa ta tsakiya na kusurwa AOB.

Saboda haka ...

kwana A "OB" (tsakiya) = kwana AOB (rubutacce)

&

baka AOB (kusurwar rubutu) = 2 * baka A "OB" (kusurwar tsakiya)

Hakanan D 'shine maɓallin OD na bisector akan kusurwa A ”OB”. OD 'kuma shine bisector na kwana A ”OB”.

(DIAGRAM 3)

Mun zana layin AA ”. A wannan gaba zaku ba ni dama, in kira AA a matsayin “LINE NA ALLAH”, saboda mahimmancinsa. Sannan daga tsakiya O zamu zana layi daya ZZ '// AA ”. Wannan layin za'a kira shi "DAN ADAM DAN ADAM".

Kamar yadda muke gani, yanzu dole ne mu juya kwana A ”OB” da AOB, a wani kwana φ = kwana D'OZ '. Don haka aya Z 'yanzu zata hadu da D' kuma Z zai hadu da maki D.

Don haka dukkanin tsarin lissafi zai juya a kwana φ.

(DIAGRAM 4)

Wannan tsarin tsari wanda yake haifar da tashin hankali, daga yanzu za'a san shi da sunan "TRISECTOR"!

Yanzu maganin ya kai karshe kuma muna da daidaito masu zuwa.

a) AA ”// ZZ '

b) baka A ”Z '= 1/2 * baka ZB (saboda kusoshin A" OD' & DOB suna tsaye tsakanin su kuma kusurwa A "OB" shine tsakiyar tsakiya kuma ZOB shine kusurwar da aka rubuta. Don haka baka ZB = 2 * archA ”D '.

Ana amfani da wannan don arches Z'B ”da AZ. Don haka baka AZ = 2 * archZ'B ”)

c) baka A ”Z '= baka AZ (dukansu arba'i ne tsakanin tsaka-tsakin tsaka-tsakin da'ira ɗaya)

DA KARSHE:

baka AB = baka AZ + baka ZB =>

baka AB = baka A ”Z '+ baka ZB =>

baka AB = baka A ”Z '+ 2 * baka AZ' =>

baka AB = 3 * baka A ”Z '

Don haka muna da….

baka A ”Z '= 1/3 baka AB

& baka AZ = baka A ”Z '= 1/3 baka AB

DAGA KARSHE MATSALAR TA YANZU BAYAN SHEKARA 2500…

Rana: Laraba 7 Afrilu 2021

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