You are here: BP HOME > BPG > Euclid: Elementa > record
Euclid: Elementa

Choose languages

Choose images, etc.

Choose languages
Choose display
    Enter number of multiples in view:
  • Enable images
  • Enable footnotes
    • Show all footnotes
    • Minimize footnotes
Search-help
Choose specific texts..
Click to Expand/Collapse OptionTitle
Click to Expand/Collapse OptionPreface
Click to Expand/Collapse OptionBook I
Click to Expand/Collapse OptionBook ΙI
Click to Expand/Collapse OptionBook IΙΙ
Click to Expand/Collapse OptionBook IV
Click to Expand/Collapse OptionBook V
Click to Expand/Collapse OptionBook VI
Click to Expand/Collapse OptionBook VII
Click to Expand/Collapse OptionBook VIII
Click to Expand/Collapse OptionBook ΙΧ
Click to Expand/Collapse OptionBook Χ
Click to Expand/Collapse OptionBook ΧI
Click to Expand/Collapse OptionBook ΧIΙ
Click to Expand/Collapse OptionBook ΧIΙΙ
gre III,0
ι῾ Τομεὺς δὲ κύκλου ἐστίν, ὅταν πρὸς τῷ κέντρῳ τοῦ κύκλου συσταθῇ γωνία, τὸ περιεχόμενον σχῆμα ὑπό τε τῶν τὴν γωνίαν περιεχουσῶν εὐθειῶν καὶ τῆς ἀπολαμβανομένης ὑπ᾽ αὐτῶν περιφερείας.
eng
10. A sector of a circle is the figure which, when an angle is constructed at the centre of the circle, is contained by the straight lines containing the angle and the circumference cut off by them.
lat Sic
Sector autem circuli est, quando ad centrum circuli consistit angulus, figura que sub angulum continentibus rectis et comprehensa ab ipsis periferia continetur.
lat Gerard
Sector circuli est figura que a duabus rectis lineis angulum supra centrum circuli comprehendentibus continetur que ad arcum illius circuli perveniunt.
lat Adelard
Figura incisiva dicta est quam due linee de centro producte ad lineam circumferentie continent. Eritque angulus ab eis contentus supra centrum circuli cadens.
lat Hermann
Sectio circuli est figura que duabus lineis a centro ductis ad circumferentiam et arcu inter eas posito continetur. Angulusque earum supra centrum consistens.
ara Uppsala 28r15-17
وقطاع الدائرة هو ' الشكل الذي يحيط به خطان مستقيان يحيطان بزاوية على مركز الدائرة وقوس يحوزها ' ذانك الخطان من الدائرة ❊
ara Tuṣi p. 48
وقطـاع الدائرة شكل يحيـط به خطـان يخرجـان من المركـز وقوس ما يحوزانهـا من المحيط والقطع المشــابهة من الدوائر هي التي تقبل زوايـا متسـاوية وفي بعض النسخ
ara Nairizi p. 4
قطاعُ الدائرة هو الشكل الذي يحيط به الخطان المستقيمان المحيطان بالزاوية والقوس التي الزاوية متركبة عليها
قال ايرُن يعني بالقوس التي توتّر الزاوية وأنواع القطاع اثنان فمنها ما يكون رُؤسها على المراكز ومنها ما يكون رؤسها على المحيطات فأمّا التي رُؤسها [لا كانـ] ـت على المراكز ولا على المحيطات فإنهـا ليست بقطاع لكنها تُشابهُ القطاعَ.
san
[...]
lat Clavius p. 98-99
IX. SECTOR autem circuli est, cum ad ipsius circuli centrum constitutus fuerit angulus, comprehensa nimirum figura et a rectis lineis angulum continentibus, et a peripheria ab illis assumpta.
SI in circulo ABCD, cuius centrum E, rectae AE, CE, constituant angulum AEC, ad centrum E; nominabitur figura AECD, contenta rectis AE, EC, et circumferentia ADC, quam praedictae lineae assumunt, sector circuli. Ex hoc autem perspicue etiam colligitur, angulum, quidefinitione 8. explicatur, referri ad circumferentiam, quae ipsius basis est, non autem ad eam, in qua existit, ut multi interpretes existimarunt. Nam sicut in hac definitione Euclides intelligit circumferentiam ADC, quae basis est anguli ad centrum constituti, quando mentionem facit peripheriae a rectis AE, CE, assumptae: Ita quoque in illa intellexisse eum necesse est nomine peripheriae, quam rectae lineae assumunt, eam, quae basis est anguli ad circumferentiam constituti; quandoquidem in utraque definitione usus est eodem verbo graeco ἀπολαμβάνω.
Pic3424
kin 幾何原本 卷三首,三
第九界
凡從圜心、以兩直線作角。偕圜界、作三角形。為分圜形。甲乙丙丁圜從戊心出戊甲、戊丙兩線、偕甲丁丙圜界、作角形。為分圜形。
http://www2.hf.uio.no/common/apps/permlink/permlink.php?app=polyglotta&context=record&uid=69673b4e-3ed4-11e1-aecb-00215aecadea
Go to Wiki Documentation
Enhet: Det humanistiske fakultet   Utviklet av: IT-seksjonen ved HF
Login