{"id":20709,"date":"2015-07-01T16:05:24","date_gmt":"2015-07-01T13:05:24","guid":{"rendered":"https:\/\/bilimvegelecek.com.tr\/?p=20709"},"modified":"2018-03-02T16:54:39","modified_gmt":"2018-03-02T13:54:39","slug":"20709","status":"publish","type":"post","link":"https:\/\/bilimvegelecek.com.tr\/index.php\/2015\/07\/01\/20709","title":{"rendered":"\u2018Matematik \u2013 Fizik \u2013 Kimya\u2019"},"content":{"rendered":"

Yaz\u0131n\u0131n ba\u015fl\u0131\u011f\u0131 eski ve ilgin\u00e7 bir derginin ad\u0131: Matematik \u2013 Fizik \u2013 Kimya <\/em>(MFK).<\/p>\n

\u0130lk say\u0131s\u0131 g\u00fcn\u00fcm\u00fczden 61 y\u0131l \u00f6nce, 1944\u2019te \u00e7\u0131km\u0131\u015f, 1946\u2019da yay\u0131n hayat\u0131 son bulmu\u015f. MFK, lise ve orta III \u00f6\u011frencilerine y\u00f6nelik 15 g\u00fcnde bir yay\u0131mlanan, matematik, fizik, kimya \u00fczerine makale ve sorular\u0131n yer ald\u0131\u011f\u0131 bir dergi.<\/p>\n

Dergi k\u00fcnyesinde kurucular \u015fu \u015fekilde yer alm\u0131\u015f: Adnan ERGENEL\u0130 (Elektrik Y\u00fcksek M\u00fchendisi), Feyyaz G\u00dcRSAN (\u0130T\u00dc Do\u00e7ent ve Vefa Lisesi \u00f6\u011fretmenlerinden), Turan TANIN (Vefa Lisesi Matematik \u00f6\u011fretmenlerinden).<\/p>\n

Sava\u015f\u0131n bunalt\u0131c\u0131 etkisinin ya\u015fand\u0131\u011f\u0131, ekmek ve daha bir\u00e7ok g\u0131da maddesinin karneye ba\u011fland\u0131\u011f\u0131 k\u0131tl\u0131k ve yokluk y\u0131llar\u0131nda \u0130stanbul\u2019da yay\u0131mlan\u0131yor MFK. 16 sayfa, fiyat\u0131 30 kuru\u015f, 18 say\u0131l\u0131k abone fiyat\u0131 500 kuru\u015f. 1944-45 ve 46\u2019da \u00fc\u00e7 y\u0131l boyunca yay\u0131mlanan MFK\u2019nin bask\u0131 say\u0131s\u0131n\u0131 bilemiyoruz, ama abonelerin d\u0131\u015f\u0131nda genel bir bayi taraf\u0131ndan da da\u011f\u0131t\u0131m\u0131n\u0131n yap\u0131ld\u0131\u011f\u0131n\u0131 \u00f6n kapa\u011f\u0131n arkas\u0131ndaki a\u00e7\u0131klamadan anl\u0131yoruz.<\/p>\n

T\u00fcrkiye\u2019de 1944\u2019te magazin, mizah, edebiyat gibi alanlarda var olan bir\u00e7ok derginin yan\u0131 s\u0131ra matematik ve fen bilimlerinde sadece MFK yay\u0131mlan\u0131yor. Dergideki yar\u0131\u015fma sorular\u0131na okurlardan, Antakya, Malatya, Bal\u0131kesir, Bursa, \u0130zmir gibi \u0130stanbul d\u0131\u015f\u0131ndaki bir\u00e7ok ilden yan\u0131tlar gelmi\u015f. \u00dclkedeki ekonomik krize kar\u015f\u0131n, MFK\u2019nin bir\u00e7ok ilde okur bulma ba\u015far\u0131s\u0131 g\u00f6sterdi\u011fini anl\u0131yoruz. Art\u0131k g\u00fcn\u00fcm\u00fczde tamamen unutulmu\u015f notlar d\u00fc\u015f\u00fclm\u00fc\u015f derginin sayfalar\u0131na. \u00c7\u00f6z\u00fcm g\u00f6nderecek okurlara \u201c[\u2026] bir yapraktan fazla yer tutan \u00e7\u00f6z\u00fcmlerin yaz\u0131l\u0131 oldu\u011fu k\u00e2\u011f\u0131tlar sol yukar\u0131 k\u00f6\u015felerinden i\u011fnelenmi\u015f olmal\u0131d\u0131r ve sa\u011f k\u00f6\u015felerde sayfa numaras\u0131 bulunmal\u0131d\u0131r.\u201d uyar\u0131s\u0131 yap\u0131l\u0131yor. Ayr\u0131ca, \u201cSay\u0131s\u0131 x <\/em>olan bir dergide \u00e7\u0131kan problemin cevab\u0131 x <\/em>+ 2 say\u0131l\u0131 dergide \u00e7\u0131kmadan M. F. K. Posta kutusu No. 367. \u0130stanbul adresine varm\u0131\u015f bulunmal\u0131d\u0131r\u201d notu da eklenmi\u015f.<\/p>\n

Derginin imtiyaz sahibi, bir\u00e7ok lise matematik kitab\u0131n\u0131n yazar\u0131 ve \u00e7evirmeni olan matematik \u00f6\u011fretmeni Turan Tan\u0131n. Yazarlar aras\u0131nda Salih Murat Uzdilek (\u0130T\u00dc Ord. Profes\u00f6r – T\u00fcrk Matematik Derne\u011fi Kurucular\u0131ndan) Wolfgang Gleissberg (\u0130stanbul \u00dcniversitesi Astronomi K\u00fcrs\u00fc Ba\u015fkan\u0131) gibi akademisyenler de yer alm\u0131\u015ft\u0131r. Yaz\u0131 i\u015fleri m\u00fcd\u00fcr\u00fc, \u0130T\u00dc \u00f6\u011fretim \u00fcyesi, T\u00fcrk Matematik Derne\u011fi kurucular\u0131ndan Feyyaz G\u00fcrsan. MFK\u2019nin kurulu\u015funda do\u00e7ent olan G\u00fcrsan, daha sonra \u0130T\u00dc Makine Fak\u00fcltesi\u2019nde profes\u00f6r unvan\u0131n\u0131 alm\u0131\u015f ve MFK\u2019de a\u011f\u0131rl\u0131kl\u0131 olarak geometri \u00fczerine makaleler yazm\u0131\u015ft\u0131r. Ama ne yaz\u0131k ki 1950\u2019de \u0130T\u00dc\u2019de s\u0131n\u0131fta kalan bir \u00f6\u011frencisinin sald\u0131r\u0131s\u0131 sonucu ya\u015fam\u0131n\u0131 yitirmi\u015ftir.<\/p>\n

Sava\u015f y\u0131llar\u0131n\u0131n a\u00e7l\u0131k ve sefaleti i\u00e7inde adeta bir deniz feneri g\u00f6revi g\u00f6rd\u00fc\u011f\u00fcne inand\u0131\u011f\u0131m Matematik \u2013 Fizik \u2013 Kimya <\/em>dergisinin bilim tarihimizdeki yerine dikkat \u00e7ekmek istedim. Umar\u0131m, bundan sonra bu derginin tarih\u00e7esi daha geni\u015f bir ara\u015ft\u0131rmayla ele al\u0131n\u0131r.<\/p>\n

Yaz\u0131y\u0131, Matematik \u2013Fizik – Kimya <\/em>dergisinin Cilt 1, Say\u0131 3\u2019te Feyyaz G\u00fcrsan imzas\u0131yla yay\u0131mlanan ilgin\u00e7 bir makaleye yer vererek s\u00fcrd\u00fcrmek istiyorum. Feyyaz G\u00fcrsan ve MFK kurucular\u0131n\u0131 sayg\u0131yla an\u0131yorum.<\/p>\n

H\u00fcgoidal Geometri <\/strong><\/p>\n

Me\u015fhur Frans\u0131z \u015fairi Victor Hugo\u2019nun ye\u011feni Kont L\u00e9opold Hugo, 1867 \u2013 1875 senelerinde yazd\u0131\u011f\u0131 yaz\u0131larla, mineraloji incelemelerinin sevk etti\u011fi bir tak\u0131m cisimlerin \u00f6zelliklerini ortaya \u00e7\u0131karm\u0131\u015ft\u0131r. Elde etti\u011fi neticelerin k\u0131ymetsiz addedilmesi i\u00e7in hi\u00e7 sebep olmad\u0131\u011f\u0131 halde, bunlar\u0131n yay\u0131lmas\u0131 s\u0131f\u0131ra yak\u0131n bir h\u0131zla ilerlemi\u015ftir. Bunu izah i\u00e7in yeg\u00e2ne sebep Kont\u2019un kulland\u0131\u011f\u0131 lisan\u0131n acayipli\u011fi olsa gerekir. Misal olarak birka\u00e7 c\u00fcmlesini alal\u0131m:<\/p>\n

\u201cEquidomoide <\/em>(ek\u00fcidomoit), k\u00fcrenin mat edicisi!\u201d. \u00a0\u201cEquidomoide <\/em>g\u00fcne\u015f gibidir; Onu g\u00f6rmeyen k\u00f6r!\u201d.<\/p>\n

\u201cEquidomoidal Mektep, Geometrinin hakiki romantik mektebidir\u201d.<\/p>\n

\u201cK\u00fcreye art\u0131k ya s\u00f6nmek, yahut ta limit Equidomoide <\/em>rol\u00fcne raz\u0131 olmak kal\u0131yor\u201d.<\/p>\n

\u201cAnalizci! Hakikatin \u00f6n\u00fcnde e\u011fil, yoksa intikamc\u0131 Equidomoide <\/em>\u00fcz\u00fcnt\u00fcl\u00fc g\u00f6\u011fs\u00fcn\u00fcn \u00fcst\u00fcne oturur\u201d.<\/p>\n

Nazar\u0131 dikkati \u00e7ekmeye y\u00f6neltilmi\u015f oldu\u011fu \u015f\u00fcphesiz olan bu lisan bilhassa sadeli\u011fi m\u00fcnaka\u015fa g\u00f6t\u00fcrmez olan neticelerin bilakis unutulup kalmas\u0131na sebep olmu\u015ftur.<\/p>\n

Bu cisimlerin tarif ve k\u0131saca incelemesine ge\u00e7meden \u015funu da ilave edelim: Kont Hugo bu cisimlerle ilk u\u011fra\u015fan\u0131n kendisi oldu\u011funu zannetmi\u015f ve k\u00fcre ile beraber, daire ve k\u00fcrenin en m\u00fchim \u00f6zelliklerini ortaya \u00e7\u0131karan Archim\u00e9de\u2019ten de yukar\u0131da numunesini g\u00f6sterdi\u011fimiz stilde bahsetmi\u015ftir. H\u00e2lbuki daha sonra ne\u015fredilen \u0130skenderiyeli Heron\u2019un \u201cMetriques<\/em>\u201di g\u00f6stermi\u015ftir ki, bu cisimlerden Kont\u2019ta evvel bizzat Archim\u00e9de me\u015fgul olmu\u015ftur.<\/p>\n

Equidomoide\u2019ler. <\/strong>Yar\u0131\u00e7ap\u0131 r <\/em>olan bir daire i\u00e7ine n <\/em>kenarl\u0131 bir d\u00fczg\u00fcn \u00e7okgen \u00e7izilmi\u015f olsun. Bunun bir kenar\u0131n\u0131 d<\/em>n <\/em>ve i\u00e7 yar\u0131\u00e7ap\u0131n\u0131 r<\/em>n <\/em>ile g\u00f6sterelim, \u00e7evresi m<\/em>n <\/em>= nd<\/em>n <\/em>olur. D\u00fczg\u00fcn \u00e7okgenin \u00fczerinde y\u00fcksekli\u011fi h<\/em>a <\/em>= <\/em>2r<\/em>n <\/em>olmak \u00fczere bir dik prizma alal\u0131m. Prizman\u0131n ekseninden ve k\u00f6\u015felerinden ge\u00e7en d\u00fczlemler bu prizmay\u0131 n <\/em>e\u015fit \u00fc\u00e7gen prizmaya ay\u0131r\u0131r. Bunlardan bir tanesini alal\u0131m (\u015eekil 1). OO<\/em>‘ ekseni \u00e7ap olmak \u00fczere \u015feklin OO<\/em>‘ den ge\u00e7en simetri d\u00fczlemi i\u00e7inde \u00e7izilen yar\u0131m \u00e7ember ABB<\/em>‘A’ d\u00fczlemine bir noktada de\u011fer.<\/p>\n

\"\"<\/p>\n

\u015eimdi bir do\u011frunun bu yar\u0131m \u00e7embere dayanarak ve AB <\/em>kenar\u0131na paralel kalarak hareket etti\u011fini farzedelim. Bu do\u011fru bir d\u00f6nel silindir par\u00e7as\u0131 \u00e7izer ve bu silindirin \u00fc\u00e7gen prizma i\u00e7inde bir simetrik dilimi kalmaktad\u0131r. \u00c7okgen prizmada bunun gibi n <\/em>dilimin birle\u015fmesiyle n<\/em>-gen \u00e9quidomoide <\/em>elde edilir.<\/p>\n

Derhal g\u00f6r\u00fcl\u00fcr ki n <\/em>sonsuz b\u00fcy\u00fcy\u00fcnce \u00e9quidomoide<\/em>\u2019in limiti n <\/em>yar\u0131\u00e7apl\u0131 bir k\u00fcredir. \u015eekil -3, bir yedigen \u00e9quidomoide g\u00f6stermektedir.<\/p>\n

\"\"<\/p>\n

Equitr\u00e9moide\u2019ler. <\/strong>Yukarda bahsi ge\u00e7en \u00fc\u00e7gen prizman\u0131n bir y\u00fcz\u00fc olan ABB’A<\/em>‘ dikd\u00f6rtgeninde KK<\/em>‘ ekseni \u00e7ap olarak al\u0131nacak olursa (\u015eekil-2) ayn\u0131 i\u015flemlerle (yaln\u0131z bu defa prizman\u0131n i\u00e7inde fakat silindirin d\u0131\u015f\u0131nda kalan k\u0131s\u0131mlar al\u0131narak) Equitr\u00e9moide\u2019ler <\/em>elde edilir. \u015eekil-4 bir \u00fc\u00e7gen Equitr\u00e9moide <\/em>g\u00f6r\u00fclmektedir.<\/p>\n

Equidomoide\u2019nin alan\u0131 <\/strong><\/p>\n

\u015eekil-1\u2019deki silindir diliminde \"\"olur.(1)<\/p>\n

Buna g\u00f6re yanal alana S <\/em>dersek:<\/p>\n

\"\"\u00a0bulunur.<\/p>\n

\u015eu halde \u00e9quidomoide<\/em>\u2019in alan\u0131 d\u0131\u015f\u0131na \u00e7izilen prizman\u0131n yanal alan\u0131na e\u015fittir.<\/p>\n

Equidomoide\u2019nin hacmi<\/strong><\/p>\n

\"\"<\/p>\n

olur. D\u0131\u015fa \u00e7izilen prizmada taban alan\u0131<\/p>\n

\"\"<\/p>\n

ve y\u00fcksekli\u011fi h<\/em>a <\/em>= 2r<\/em>n <\/em>oldu\u011fundan hacim nd<\/em>n<\/em>r<\/em>2 <\/sup>n <\/em>bulunur.<\/p>\n

\u015eu halde \u00e9quidomoide<\/em>\u2019in hacmi d\u0131\u015f\u0131na \u00e7izilen prizman\u0131n hacminin 2\/3\u2019\u00fcd\u00fcr.<\/p>\n

\u0130htar I. <\/strong>Alan\u0131 hesaplarken prizman\u0131n yanal alan\u0131 yerine tekmil alan\u0131 al\u0131n\u0131rsa olur ve buradan S <\/em>= 2\/3.S<\/em>1 bulunur.<\/p>\n

\"\"<\/p>\n

\u015eu halde, \u00e9quidomoide<\/em>\u2019in hem alan\u0131 hem de hacmi, d\u0131\u015f\u0131na \u00e7izilen prizman\u0131nkinin 2\/3\u2019\u00fcd\u00fcr.<\/p>\n

\u0130htar II. <\/strong>Bu neticeler k\u00fcre i\u00e7in kullan\u0131labilir. Silindir dilimi i\u00e7in verilen hesaplara benzer hesaplarla \u00e9quitr\u00e9moide<\/em>\u2019lerin alan ve hacimleri hesaplan\u0131rsa g\u00f6r\u00fcl\u00fcr ki: \u00e9quitr\u00e9moide <\/em>hacmi, prizma i\u00e7ine \u00e7izilen \u00e9quidomoide<\/em>\u2019nin hacminin s\u0131ras\u0131yla n\/2\u20131 ve 2\u2013 n\/2 ile \u00e7arp\u0131lmas\u0131yla bulunur.<\/p>\n

Not: <\/strong>Feyyaz G\u00fcrsan\u2019\u0131n bu yaz\u0131s\u0131na orijinalli\u011fi bozmamak i\u00e7in herhangi bir m\u00fcdahalede bulunulmam\u0131\u015ft\u0131r.<\/p>\n

Te\u015fekk\u00fcr: <\/strong>Matematik \u2013 Fizik \u2013 Kimya <\/em>dergisinden beni haberdar eden Ali Nesin\u2019e te\u015fekk\u00fcr ederim.<\/p>\n

Dipnot<\/strong><\/p>\n

1) Feyyaz G\u00fcrsan, daha \u00f6nce MFK Cilt 1, sa. 18\u2019de \u00fc\u00e7gen prizma i\u00e7inde kalan silindir diliminin alan\u0131n\u0131 silindirin \u00e7ap uzunlu\u011fuyla tan\u03b1 ile tan\u03b1\u2019n\u0131n \u00e7arp\u0131m\u0131 olarak hesaplad\u0131\u011f\u0131ndan bu form\u00fcl\u00fc burada do\u011frudan kullan\u0131yor.<\/p>\n

Kaynak<\/strong><\/p>\n

1) Matematik \u2013 Fizik \u2013 Kimya <\/em>dergisi, Cilt I, Say\u0131 3, 4, 6, \u0130brahim Horoz Bas\u0131mevi, 1944.<\/p>\n","protected":false},"excerpt":{"rendered":"

Yaz\u0131n\u0131n ba\u015fl\u0131\u011f\u0131 eski ve ilgin\u00e7 bir derginin ad\u0131: Matematik \u2013 Fizik \u2013 Kimya (MFK). \u0130lk say\u0131s\u0131 g\u00fcn\u00fcm\u00fczden 61 y\u0131l \u00f6nce, 1944\u2019te \u00e7\u0131km\u0131\u015f, 1946\u2019da yay\u0131n hayat\u0131 son bulmu\u015f. MFK, lise ve orta III \u00f6\u011frencilerine y\u00f6nelik 15 g\u00fcnde bir yay\u0131mlanan, matematik, fizik, kimya \u00fczerine makale ve sorular\u0131n yer ald\u0131\u011f\u0131 bir dergi. Dergi k\u00fcnyesinde kurucular \u015fu \u015fekilde yer […]<\/p>\n","protected":false},"author":375,"featured_media":20723,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[174,25,514],"tags":[2496,208,1530],"class_list":["post-20709","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-137-sayi","category-matematik","category-matematik-sohbetleri","tag-equidomoide","tag-matematik","tag-sayilar"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t