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
rdfs:label
"Pick's theorem"@en
skos:altLabel
"مبرهنه بيك"@ar
"نظرية بيك"@ar
schema:description
"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"@en
schema:dateModified "2026-08-23T18:42:06+00:00"^^xsd:dateTime
schema:version 2535513294
wikibase:identifiers 5
wikibase:sitelinks 29
wikibase:statements 14
p:P138 wd:statement/Q646523-c072fd32-41e3-f5eb-4312-eb4616440702
p:P18 wd:statement/Q646523-3011ba1a-4c5e-271d-1f74-07ba6a1ecf6d
p:P2384 wd:statement/Q646523-4a25fe1d-401d-a1c7-aa46-afcc0f27cb0f
p:P2534 wd:statement/Q646523-2291e534-4e6e-eef8-a368-bac01bf77e38
p:P2812 wd:statement/Q646523-39FD8193-CBB5-4045-97EE-762749528345
wd:statement/Q646523-AF719049-7580-4658-848D-5929F115903D
p:P31 wd:statement/Q646523-9FB0211C-3F92-4EC4-9EE3-E3FD32E41DCD
p:P361 wd:statement/Q646523-0CCCE84B-3003-4E25-96F3-D505AFFD4CFC
p:P373 wd:statement/Q646523-b33c86f3-4b80-2316-03a8-6edcaa39131d
p:P6104 wd:statement/Q646523-85559402-C57D-4BCC-878D-B20A7E6E55DF
p:P6366 wd:statement/Q646523-F057364D-F567-49FD-8DBF-FD4F5A048CD3
p:P646 wd:statement/Q646523-1BCA8A99-03F8-4F14-9B93-2661ADF69D8A
p:P7235 wd:statement/Q646523-219eeea2-4fba-b7ee-ddff-2cd497a6fd5c
p:P9621 wd:statement/Q646523-F1702DA9-6FAD-46E1-94E5-9935724431A7
p:direct-normalized/P6366 <https://makg.org/entity/27048646>
wdt:P138 Georg Alexander Pick
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Pick%20theorem%20simple.svg>
wdt:P2384 simple polygon
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi><mo stretchy="false">=</mo><mi>i</mi><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo stretchy="false">&#x2212;</mo><mn>1</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2812 "PicksTheorem"
wdt:P31 theorem
wdt:P361 list of theorems
wdt:P373 "Pick's theorem"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "27048646"
wdt:P646 "/m/01wg2w"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>A</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P9621 "teorema-di-pick"
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