Pick's theorem (Q646523)
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formula that the area of a planar polygon whose vertices all have integer coordinates equals the number of interior integer points plus half the number of boundary integer points minus one
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pick's theorem |
formula that the area of a planar polygon whose vertices all have integer coordinates equals the number of interior integer points plus half the number of boundary integer points minus one |
Statements
Pick theorem simple.svg
512 × 585; 511 bytes
512 × 585; 511 bytes
example of Pick’s theorem: the polygon has 7 interior points and 8 boundary points, so its area is 7+8/2−1=10 (English)
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Pick's theorem
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Wikipedia(28 entries)
- arwiki مبرهنة بيك
- cawiki Teorema de Pick
- cswiki Pickův vzorec
- cvwiki Пик формули
- dewiki Satz von Pick
- elwiki Θεώρημα του Πικ
- enwiki Pick's theorem
- eswiki Teorema de Pick
- fawiki قضیه پیک
- fiwiki Pickin lause
- frwiki Théorème de Pick
- glwiki Teorema de Pick
- hewiki משפט פיק
- hrwiki Pickova formula
- huwiki Pick-tétel
- hywiki Փիքի թեորեմ
- itwiki Teorema di Pick
- jawiki ピックの定理
- kmwiki ទ្រឹស្តីបទពីក
- kowiki 픽 정리
- nlwiki Formule van Pick
- plwiki Wzór Picka
- pmswiki Fórmola ëd Pick
- ptwiki Teorema de Pick
- ruwiki Формула Пика
- svwiki Picks sats
- ukwiki Теорема Піка
- zhwiki 皮克定理
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Multilingual sites(1 entry)
- commonswiki Category:Pick's theorem