παραλληλόγραμμον: Difference between revisions
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[[File:Parallelogram.svg|thumb|Parallelogram|alt=Parallelogram.svg]] | |wketx=[[File:Parallelogram.svg|thumb|Parallelogram|alt=Parallelogram.svg]] | ||
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations. | In Euclidean geometry, a [[parallelogram]] is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations. | ||
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|ptext=[[https://www.translatum.gr/images/pape/pape-02-0488.png Seite 488]] τό, das Parallelogramm, eine Figur, die von vier Linien eingeschlossen ist, deren zwei und zwei einander gleichlaufen, Euclid. u. A. – Adjectivisch bei Plut. adv. Stoic. 39, wie [[παραλληλόγραμμον]] [[σχῆμα]] Strab. | |ptext=[[https://www.translatum.gr/images/pape/pape-02-0488.png Seite 488]] τό, das [[Parallelogramm]], eine Figur, die von vier Linien eingeschlossen ist, deren zwei und zwei einander gleichlaufen, Euclid. u. A. – Adjectivisch bei Plut. adv. Stoic. 39, wie [[παραλληλόγραμμον]] [[σχῆμα]] Strab. | ||
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Latest revision as of 09:24, 18 November 2024
Wikipedia EN
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.
German (Pape)
[Seite 488] τό, das Parallelogramm, eine Figur, die von vier Linien eingeschlossen ist, deren zwei und zwei einander gleichlaufen, Euclid. u. A. – Adjectivisch bei Plut. adv. Stoic. 39, wie παραλληλόγραμμον σχῆμα Strab.
Russian (Dvoretsky)
παραλληλόγραμμον: τό параллелограмм Plut.
Translations
af: parallelogram; ar: متوازي أضلاع; ast: paralelogramu; az: paraleloqram; ba: параллелограмм; be_x_old: паралелаграм; be: паралелаграм; bg: успоредник; bn: সামান্তরিক; bs: paralelogram; ca: paral·lelogram; ckb: لاھاوبەرە; cs: rovnoběžník; cy: paralelogram; da: parallelogram; de: Parallelogramm; dsb: paralelogram; el: παραλληλόγραμμο; en: parallelogram; eo: paralelogramo; es: paralelogramo; et: rööpkülik; eu: paralelogramo; fa: متوازیالاضلاع; fi: suunnikas; fr: parallélogramme; ga: comhthreomharán; gl: paralelogramo; he: מקבילית; hi: समान्तर चतुर्भुज; hr: paralelogram; hsb: runoběžnik; hu: paralelogramma; hy: զուգահեռագիծ; id: jajar genjang; is: samsíðungur; it: parallelogramma; ja: 平行四辺形; jv: jajaran génjang; ka: პარალელოგრამი; kk: параллелограмм; km: ប្រលេឡូក្រាម; ko: 평행사변형; ku: çargoşeya yeksan; la: parallelogrammum; lmo: paralelogràm; lt: lygiagretainis; lv: paralelograms; mhr: параллелограмм; mk: паралелограм; ml: സാമാന്തരികം; mr: समांतरभुज चौकोन; ne: समानान्तर चतुर्भुज; nl: parallellogram; nn: parallellogram; no: parallellogram; pa: ਸਮਾਂਤਰ ਚਤੁਰਭੁਜ; pl: równoległobok; pms: paralelograma; pt: paralelogramo; ro: paralelogram; ru: параллелограмм; scn: paralleluggramma; se: parallellográmma; sh: paralelogram; simple: parallelogram; sk: rovnobežník; sl: paralelogram; sn: gonyoina sambamba; so: barbaroole; sq: paralelogrami; sr: паралелограм; su: pasagi doyong; sv: parallellogram; ta: இணைகரம்; te: సమాంతర చతుర్భుజం; th: รูปสี่เหลี่ยมด้านขนาน; tl: paralelogram; tr: paralelkenar; uk: паралелограм; uz: parallelogramm; vi: hình bình hành; vls: parallellogram; war: paralelogramo; wuu: 平行四边形; zh_yue: 平行四邊形; zh: 平行四边形
