> ## Documentation Index
> Fetch the complete documentation index at: https://private-7c7dfe99-mintlify-fbfa8bee.mintlify.site/llms.txt
> Use this file to discover all available pages before exploring further.
> توثيق Polygon
# دوال للتعامل مع Polygons
## WKT
يعيد كائنًا هندسيًا بتنسيق WKT (Well Known Text) من [أنواع البيانات الجغرافية](/ar/reference/data-types/geo) المختلفة. كائنات WKT المدعومة هي:
* POINT
* POLYGON
* MULTIPOLYGON
* LINESTRING
* MULTILINESTRING
**البنية**
```sql theme={null}
WKT(geo_data)
```
**المعلمات**
يمكن أن تكون `geo_data` واحدة من [أنواع البيانات الجغرافية](/ar/reference/data-types/geo) التالية أو من أنواعها الأولية الأساسية:
* [Point](/ar/reference/data-types/geo#point)
* [Ring](/ar/reference/data-types/geo#ring)
* [Polygon](/ar/reference/data-types/geo#polygon)
* [MultiPolygon](/ar/reference/data-types/geo#multipolygon)
* [LineString](/ar/reference/data-types/geo#linestring)
* [MultiLineString](/ar/reference/data-types/geo#multilinestring)
**القيمة المُعادة**
* يُعاد الكائن الهندسي WKT `POINT` عند استخدام Point.
* يُعاد الكائن الهندسي WKT `POLYGON` عند استخدام Polygon.
* يُعاد الكائن الهندسي WKT `MULTIPOLYGON` عند استخدام MultiPolygon.
* يُعاد الكائن الهندسي WKT `LINESTRING` عند استخدام LineString.
* يُعاد الكائن الهندسي WKT `MULTILINESTRING` عند استخدام MultiLineString.
**أمثلة**
POINT من Tuple:
```sql theme={null}
SELECT wkt((0., 0.));
```
```response theme={null}
POINT(0 0)
```
POLYGON من مصفوفة من Tuple أو من مصفوفة من مصفوفات Tuple:
```sql theme={null}
SELECT wkt([(0., 0.), (10., 0.), (10., 10.), (0., 10.)]);
```
```response theme={null}
POLYGON((0 0,10 0,10 10,0 10))
```
MULTIPOLYGON من مصفوفة من مصفوفات Tuple متعددة الأبعاد:
```sql theme={null}
SELECT wkt([[[(0., 0.), (10., 0.), (10., 10.), (0., 10.)], [(4., 4.), (5., 4.), (5., 5.), (4., 5.)]], [[(-10., -10.), (-10., -9.), (-9., 10.)]]]);
```
```response theme={null}
MULTIPOLYGON(((0 0,10 0,10 10,0 10,0 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))
```
## readWKTMultiPolygon
يحوّل قيمة MultiPolygon بتنسيق WKT (Well Known Text) إلى نوع MultiPolygon.
### مثال
```sql theme={null}
SELECT
toTypeName(readWKTMultiPolygon('MULTIPOLYGON(((2 0,10 0,10 10,0 10,2 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))')) AS type,
readWKTMultiPolygon('MULTIPOLYGON(((2 0,10 0,10 10,0 10,2 0),(4 4,5 4,5 5,4 5,4 4)),((-10 -10,-10 -9,-9 10,-10 -10)))') AS output FORMAT Markdown
```
| النوع | الناتج |
| :----------- | :--------------------------------------------------------------------------------------------------------------------- |
| MultiPolygon | \[\[\[(2,0),(10,0),(10,10),(0,10),(2,0)],\[(4,4),(5,4),(5,5),(4,5),(4,4)]],\[\[(-10,-10),(-10,-9),(-9,10),(-10,-10)]]] |
### معلمات الإدخال
سلسلة تبدأ بـ `MULTIPOLYGON`
### القيمة المُعادة
MultiPolygon
## readWKTPolygon
يحوّل WKT (Well Known Text) من النوع MultiPolygon إلى النوع Polygon.
### مثال
```sql theme={null}
SELECT
toTypeName(readWKTPolygon('POLYGON((2 0,10 0,10 10,0 10,2 0))')) AS type,
readWKTPolygon('POLYGON((2 0,10 0,10 10,0 10,2 0))') AS output
FORMAT Markdown
```
| النوع | الناتج |
| :------ | :-------------------------------------- |
| Polygon | \[\[(2,0),(10,0),(10,10),(0,10),(2,0)]] |
### معلمات الإدخال
سلسلة نصية تبدأ بـ `POLYGON`
### القيمة المعادة
Polygon
## readWKTPoint
تقوم الدالة `readWKTPoint` في ClickHouse بتحليل تمثيل Well-Known Text (WKT) لهندسة من نوع Point، وتُرجع نقطة بالتنسيق الداخلي في ClickHouse.
### الصيغة
```sql theme={null}
readWKTPoint(wkt_string)
```
### الوسائط
* `wkt_string`: سلسلة WKT المُدخلة التي تُمثّل هندسة من نوع Point.
### القيمة المُعادة
تُرجِع الدالة تمثيلاً داخليًا في ClickHouse للكائن الهندسي Point.
### مثال
```sql theme={null}
SELECT readWKTPoint('POINT (1.2 3.4)');
```
```response theme={null}
(1.2,3.4)
```
## readWKTLineString
يحلّل تمثيل Well-Known Text (WKT) لهندسة LineString ويعيده بالتنسيق الداخلي في ClickHouse.
### الصيغة
```sql theme={null}
readWKTLineString(wkt_string)
```
### الوسائط
* `wkt_string`: سلسلة WKT المُدخلة التي تمثل هندسة من نوع LineString.
### القيمة المُعادة
تعيد الدالة تمثيلًا داخليًا لهندسة linestring في ClickHouse.
### مثال
```sql theme={null}
SELECT readWKTLineString('LINESTRING (1 1, 2 2, 3 3, 1 1)');
```
```response theme={null}
[(1,1),(2,2),(3,3),(1,1)]
```
## readWKTMultiLineString
يحلّل تمثيل Well-Known Text (WKT) لهندسة MultiLineString ويُعيده بالتنسيق الداخلي في ClickHouse.
### الصيغة
```sql theme={null}
readWKTMultiLineString(wkt_string)
```
### الوسيط
* `wkt_string`: سلسلة WKT المُدخلة التي تمثل كائنًا هندسيًا من نوع MultiLineString.
### القيمة المُعادة
تُرجِع الدالة التمثيل الداخلي في ClickHouse لهندسة MultiLineString.
### مثال
```sql theme={null}
SELECT readWKTMultiLineString('MULTILINESTRING ((1 1, 2 2, 3 3), (4 4, 5 5, 6 6))');
```
```response theme={null}
[[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]]
```
## readWKTRing
يُحلّل تمثيلًا بصيغة Well-Known Text (WKT) لهندسة Polygon ويُرجع حلقةً (سلسلة خطوط مغلقة) بالتنسيق الداخلي في ClickHouse.
### الصيغة
```sql theme={null}
readWKTRing(wkt_string)
```
### الوسائط
* `wkt_string`: سلسلة WKT المُدخلة التي تُمثّل شكلًا هندسيًا من نوع Polygon.
### القيمة المُعادة
تُرجِع الدالة تمثيل ClickHouse الداخلي لهندسة الحلقة (خطٍّ متصل مغلق).
### مثال
```sql theme={null}
SELECT readWKTRing('POLYGON ((1 1, 2 2, 3 3, 1 1))');
```
```response theme={null}
[(1,1),(2,2),(3,3),(1,1)]
```
## polygonsWithinSpherical
تُرجِع true أو false بحسب ما إذا كان أحد المضلعات يقع بالكامل داخل مضلع آخر أم لا. المرجع [https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within\_2.html](https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/within/within\_2.html)
### مثال
```sql theme={null}
SELECT polygonsWithinSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]);
```
```response theme={null}
0
```
## readWKBMultiPolygon
يحوّل قيمة WKB (Well Known Binary) التي تمثل MultiPolygon إلى نوع MultiPolygon.
### مثال
```sql theme={null}
SELECT
toTypeName(readWKBMultiPolygon(unhex('0106000000020000000103000000020000000500000000000000000000400000000000000000000000000000244000000000000000000000000000002440000000000000244000000000000000000000000000002440000000000000004000000000000000000500000000000000000010400000000000001040000000000000144000000000000010400000000000001440000000000000144000000000000010400000000000001440000000000000104000000000000010400103000000010000000400000000000000000024c000000000000024c000000000000024c000000000000022c000000000000022c0000000000000244000000000000024c000000000000024c0'))) AS type,
readWKBMultiPolygon(unhex('0106000000020000000103000000020000000500000000000000000000400000000000000000000000000000244000000000000000000000000000002440000000000000244000000000000000000000000000002440000000000000004000000000000000000500000000000000000010400000000000001040000000000000144000000000000010400000000000001440000000000000144000000000000010400000000000001440000000000000104000000000000010400103000000010000000400000000000000000024c000000000000024c000000000000024c000000000000022c000000000000022c0000000000000244000000000000024c000000000000024c0')) AS output FORMAT Markdown
```
| النوع | المخرجات |
| :----------- | :--------------------------------------------------------------------------------------------------------------------- |
| MultiPolygon | \[\[\[(2,0),(10,0),(10,10),(0,10),(2,0)],\[(4,4),(5,4),(5,5),(4,5),(4,4)]],\[\[(-10,-10),(-10,-9),(-9,10),(-10,-10)]]] |
### معلمات الإدخال
سلسلة تبدأ بـ `MULTIPOLYGON`
### القيمة المُعادة
MultiPolygon
## readWKBPolygon
يحوّل WKB (Well Known Binary) من النوع MultiPolygon إلى النوع Polygon.
### مثال
```sql theme={null}
SELECT
toTypeName(readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000'))) AS type,
readWKBPolygon(unhex('010300000001000000050000000000000000000040000000000000000000000000000024400000000000000000000000000000244000000000000024400000000000000000000000000000244000000000000000400000000000000000')) AS output
FORMAT Markdown
```
| النوع | الناتج |
| :------ | :-------------------------------------- |
| Polygon | \[\[(2,0),(10,0),(10,10),(0,10),(2,0)]] |
### معلمة الإدخال
قيمة سلسلة تبدأ بـ `POLYGON`
### القيمة المُعادة
Polygon
## readWKBPoint
تُحلّل الدالة `readWKBPoint` في ClickHouse تمثيل Well-Known Binary (WKB) لهندسة Point، ثم تُرجِع نقطة بالتنسيق الداخلي في ClickHouse.
### الصيغة
```sql theme={null}
readWKBPoint(wkb_string)
```
### الوسيط
* `wkb_string`: سلسلة WKB المُدخلة التي تمثل هندسة من النوع Point.
### القيمة المُعادة
تعيد الدالة تمثيل ClickHouse الداخلي للنوع الهندسي Point.
### مثال
```sql theme={null}
SELECT readWKBPoint(unhex('0101000000333333333333f33f3333333333330b40'));
```
```response theme={null}
(1.2,3.4)
```
## readWKBLineString
يحلّل تمثيل Well-Known Binary (WKB) لهندسة LineString ويُعيده بصيغة ClickHouse الداخلية.
### الصيغة
```sql theme={null}
readWKBLineString(wkb_string)
```
### الوسائط
* `wkb_string`: سلسلة WKB المُدخلة التي تمثل هندسة من نوع LineString.
### القيمة المُعادة
تُرجِع الدالة التمثيل الداخلي في ClickHouse لهندسة `linestring`.
### مثال
```sql theme={null}
SELECT readWKBLineString(unhex('010200000004000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840000000000000f03f000000000000f03f'));
```
```response theme={null}
[(1,1),(2,2),(3,3),(1,1)]
```
## readWKBMultiLineString
يحلّل تمثيل Well-Known Binary (WKB) لكائن هندسي من نوع MultiLineString ويُعيده بالتنسيق الداخلي لـ ClickHouse.
### الصيغة
```sql theme={null}
readWKBMultiLineString(wkb_string)
```
### الوسيط
* `wkb_string`: سلسلة WKB المُدخلة التي تُمثّل هندسةً من نوع MultiLineString.
### القيمة المُعادة
تُرجِع الدالة تمثيل ClickHouse الداخلي لهندسة multilinestring.
### مثال
```sql theme={null}
SELECT readWKBMultiLineString(unhex('010500000002000000010200000003000000000000000000f03f000000000000f03f0000000000000040000000000000004000000000000008400000000000000840010200000003000000000000000000104000000000000010400000000000001440000000000000144000000000000018400000000000001840'));
```
```response theme={null}
[[(1,1),(2,2),(3,3)],[(4,4),(5,5),(6,6)]]
```
### معلمات الإدخال
### القيمة المُعادة
UInt8، وتكون 0 للقيمة false و1 للقيمة true
## polygonsDistanceSpherical
تحسب الحد الأدنى للمسافة بين نقطتين، بحيث تنتمي إحدى النقطتين إلى المضلع الأول وتنتمي الثانية إلى مضلع آخر. ويعني "كروي" هنا أن الإحداثيات تُفسَّر على أنها إحداثيات على كرة نقية ومثالية، وهذا لا ينطبق على الأرض. يسرّع استخدام هذا النوع من أنظمة الإحداثيات التنفيذ، لكنه بالطبع غير دقيق.
### مثال
```sql theme={null}
SELECT polygonsDistanceSpherical([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]])
```
```response theme={null}
0.24372872211133834
```
### معلمات الإدخال
مضلعان
### القيمة المُعادة
Float64
## polygonsDistanceCartesian
تحسب المسافة بين مضلعين
### مثال
```sql theme={null}
SELECT polygonsDistanceCartesian([[[(0, 0), (0, 0.1), (0.1, 0.1), (0.1, 0)]]], [[[(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)]]])
```
```response theme={null}
14.000714267493642
```
### معلمات الإدخال
مضلّعان
### القيمة المعادة
Float64
## polygonsEqualsCartesian
يُرجع true إذا كان المضلعان متساويين
### مثال
```sql theme={null}
SELECT polygonsEqualsCartesian([[[(1., 1.), (1., 4.), (4., 4.), (4., 1.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]])
```
```response theme={null}
1
```
### معلمات الإدخال
مضلعان
### القيمة المعادة
UInt8، حيث يشير 0 إلى false و1 إلى true
## polygonsSymDifferenceSpherical
تحسب الفرق المتماثل (XOR) المكاني وفق نظرية المجموعات بين مضلعين
### مثال
```sql theme={null}
SELECT wkt(arraySort(polygonsSymDifferenceSpherical([[(50., 50.), (50., -50.), (-50., -50.), (-50., 50.), (50., 50.)], [(10., 10.), (10., 40.), (40., 40.), (40., 10.), (10., 10.)], [(-10., -10.), (-10., -40.), (-40., -40.), (-40., -10.), (-10., -10.)]], [[(-20., -20.), (-20., 20.), (20., 20.), (20., -20.), (-20., -20.)]])));
```
```response theme={null}
MULTIPOLYGON(((-20 -10.3067,-10 -10,-10 -20.8791,-20 -20,-20 -10.3067)),((10 20.8791,20 20,20 10.3067,10 10,10 20.8791)),((50 50,50 -50,-50 -50,-50 50,50 50),(20 10.3067,40 10,40 40,10 40,10 20.8791,-20 20,-20 -10.3067,-40 -10,-40 -40,-10 -40,-10 -20.8791,20 -20,20 10.3067)))
```
### معلمات الإدخال
المضلعات
### القيمة المُعادة
MultiPolygon
## polygonsSymDifferenceCartesian
مماثل لـ `polygonsSymDifferenceSpherical`، لكن الإحداثيات تكون في النظام الإحداثي الديكارتي؛ وهو أقرب إلى نموذج الأرض الفعلي.
### مثال
```sql theme={null}
SELECT wkt(polygonsSymDifferenceCartesian([[[(0, 0), (0, 3), (1, 2.9), (2, 2.6), (2.6, 2), (2.9, 1), (3, 0), (0, 0)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))
```
```response theme={null}
MULTIPOLYGON(((1 2.9,1 1,2.9 1,3 0,0 0,0 3,1 2.9)),((1 2.9,1 4,4 4,4 1,2.9 1,2.6 2,2 2.6,1 2.9)))
```
### معلمات الإدخال
المضلعات
### القيمة المُعادة
MultiPolygon
## polygonsIntersectionSpherical
يحسب التقاطع (AND) بين المضلعات، حيث تكون الإحداثيات كروية.
### مثال
```sql theme={null}
SELECT wkt(arrayMap(a -> arrayMap(b -> arrayMap(c -> (round(c.1, 6), round(c.2, 6)), b), a), polygonsIntersectionSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]])))
```
```response theme={null}
MULTIPOLYGON(((4.3666 50.8434,4.36024 50.8436,4.34956 50.8536,4.35268 50.8567,4.36794 50.8525,4.3666 50.8434)))
```
### معلمة الإدخال
المضلعات
### القيمة المُعادة
MultiPolygon
## polygonsWithinCartesian
تُرجع true إذا كان المضلع الثاني يقع داخل المضلع الأول.
### مثال
```sql theme={null}
SELECT polygonsWithinCartesian([[[(2., 2.), (2., 3.), (3., 3.), (3., 2.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]])
```
```response theme={null}
1
```
### معلمات الإدخال
مضلعان
### القيمة المعادة
UInt8، 0 للقيمة false، و1 للقيمة true
## polygonsIntersectCartesian
تُرجع القيمة true إذا كان المضلعان يتقاطعان (أي يشتركان في أي مساحة أو في أي جزء من الحدود).
### مثال
```sql theme={null}
SELECT polygonsIntersectCartesian([[[(2., 2.), (2., 3.), (3., 3.), (3., 2.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]])
```
```response theme={null}
1
```
### معلمات الإدخال
مضلعان
### القيمة المعادة
UInt8، 0 لـ false، و1 لـ true
## polygonsIntersectSpherical
تعيد القيمة true إذا كان المضلعان متقاطعين (أي يشتركان في أي مساحة أو جزء من الحدود). المرجع: [https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html](https://www.boost.org/doc/libs/1\_62\_0/libs/geometry/doc/html/geometry/reference/algorithms/intersects.html)
### مثال
```sql theme={null}
SELECT polygonsIntersectSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]);
```
```response theme={null}
1
```
### معلمات الإدخال
مضلعان
### القيمة المعادة
UInt8، 0 لـ false، و1 لـ true
## polygonConvexHullCartesian
يحسب الغلاف المحدب. [المرجع](https://www.boost.org/doc/libs/1_61_0/libs/geometry/doc/html/geometry/reference/algorithms/convex_hull.html)
الإحداثيات في نظام الإحداثيات الديكارتي.
### مثال
```sql theme={null}
SELECT wkt(polygonConvexHullCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.), (2., 3.)]]]))
```
```response theme={null}
POLYGON((0 0,0 5,5 5,5 0,0 0))
```
### معلمات الإدخال
MultiPolygon
### القيمة المُعادة
Polygon
## polygonAreaSpherical
تحسب المساحة السطحية لمضلع.
### مثال
```sql theme={null}
SELECT round(polygonAreaSpherical([[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]), 14)
```
```response theme={null}
9.387704e-8
```
### معلمات الإدخال
Polygon
### القيمة المُعادة
عدد بفاصلة عائمة
## polygonsUnionSpherical
يحسب عملية الاتحاد (OR).
### مثال
```sql theme={null}
SELECT wkt(polygonsUnionSpherical([[[(4.3613577, 50.8651821), (4.349556, 50.8535879), (4.3602419, 50.8435626), (4.3830299, 50.8428851), (4.3904543, 50.8564867), (4.3613148, 50.8651279)]]], [[[(4.346693, 50.858306), (4.367945, 50.852455), (4.366227, 50.840809), (4.344961, 50.833264), (4.338074, 50.848677), (4.346693, 50.858306)]]]))
```
```response theme={null}
MULTIPOLYGON(((4.36661 50.8434,4.36623 50.8408,4.34496 50.8333,4.33807 50.8487,4.34669 50.8583,4.35268 50.8567,4.36136 50.8652,4.36131 50.8651,4.39045 50.8565,4.38303 50.8429,4.36661 50.8434)))
```
### معلمات الإدخال
المضلعات
### القيمة المعادة
MultiPolygon
## polygonPerimeterSpherical
تحسب محيط المضلع.
### مثال
#### مضلع يمثّل زيمبابوي
هذا هو المضلع الذي يمثّل زيمبابوي:
```text theme={null}
POLYGON((30.0107 -15.6462,30.0502 -15.6401,30.09 -15.6294,30.1301 -15.6237,30.1699 -15.6322,30.1956 -15.6491,30.2072 -15.6532,30.2231 -15.6497,30.231 -15.6447,30.2461 -15.6321,30.2549 -15.6289,30.2801 -15.6323,30.2962 -15.639,30.3281 -15.6524,30.3567 -15.6515,30.3963 -15.636,30.3977 -15.7168,30.3993 -15.812,30.4013 -15.9317,30.4026 -16.0012,30.5148 -16.0004,30.5866 -16,30.7497 -15.9989,30.8574 -15.9981,30.9019 -16.0071,30.9422 -16.0345,30.9583 -16.0511,30.9731 -16.062,30.9898 -16.0643,31.012 -16.0549,31.0237 -16.0452,31.0422 -16.0249,31.0569 -16.0176,31.0654 -16.0196,31.0733 -16.0255,31.0809 -16.0259,31.089 -16.0119,31.1141 -15.9969,31.1585 -16.0002,31.26 -16.0235,31.2789 -16.0303,31.2953 -16.0417,31.3096 -16.059,31.3284 -16.0928,31.3409 -16.1067,31.3603 -16.1169,31.3703 -16.1237,31.3746 -16.1329,31.3778 -16.1422,31.384 -16.1488,31.3877 -16.1496,31.3956 -16.1477,31.3996 -16.1473,31.4043 -16.1499,31.4041 -16.1545,31.4027 -16.1594,31.4046 -16.1623,31.4241 -16.1647,31.4457 -16.165,31.4657 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```
#### استخدام الدالة polygonPerimeterSpherical
```sql theme={null}
SELECT round(polygonPerimeterSpherical([(30.010654, -15.646227), (30.050238, -15.640129), (30.090029, -15.629381), (30.130129, -15.623696), (30.16992, -15.632171), (30.195552, -15.649121), (30.207231, -15.653152), (30.223147, -15.649741), (30.231002, -15.644677), (30.246091, -15.632068), (30.254876, -15.628864), (30.280094, -15.632275), (30.296196, -15.639042), (30.32805, -15.652428), (30.356679, -15.651498), (30.396263, -15.635995), (30.39771, -15.716817), (30.39926, -15.812005), (30.401327, -15.931688), (30.402568, -16.001244), (30.514809, -16.000418), (30.586587, -16.000004), (30.74973, -15.998867), (30.857424, -15.998144), (30.901865, -16.007136), (30.942173, -16.034524), (30.958296, -16.05106), (30.973075, -16.062016), (30.989767, -16.06429), (31.012039, -16.054885), (31.023718, -16.045169), (31.042218, -16.024912), (31.056895, -16.017574), (31.065421, -16.019641), (31.073328, -16.025532), (31.080872, -16.025946), (31.089037, -16.01189), (31.1141, -15.996904), (31.15849, 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```
```response theme={null}
0.45539
```
### معلمة الإدخال
### القيمة المُعادة
## polygonsIntersectionCartesian
تحسب تقاطع المضلعات.
### مثال
```sql theme={null}
SELECT wkt(polygonsIntersectionCartesian([[[(0., 0.), (0., 3.), (1., 2.9), (2., 2.6), (2.6, 2.), (2.9, 1.), (3., 0.), (0., 0.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))
```
```response theme={null}
MULTIPOLYGON(((1 2.9,2 2.6,2.6 2,2.9 1,1 1,1 2.9)))
```
### معلمات الإدخال
المضلعات
### القيمة المعادة
MultiPolygon
## polygonAreaCartesian
يحسب مساحة مضلع
### مثال
```sql theme={null}
SELECT polygonAreaCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])
```
```response theme={null}
25
```
### معلمات الإدخال
Polygon
### القيمة المُعادة
Float64
## polygonPerimeterCartesian
يحسب محيط المضلع.
### مثال
```sql theme={null}
SELECT polygonPerimeterCartesian([[[(0., 0.), (0., 5.), (5., 5.), (5., 0.)]]])
```
```response theme={null}
15
```
### معلمات الإدخال
Polygon
### القيمة المُعادة
Float64
## polygonsUnionCartesian
تحسب عملية اتحاد المضلعات.
### مثال
```sql theme={null}
SELECT wkt(polygonsUnionCartesian([[[(0., 0.), (0., 3.), (1., 2.9), (2., 2.6), (2.6, 2.), (2.9, 1), (3., 0.), (0., 0.)]]], [[[(1., 1.), (1., 4.), (4., 4.), (4., 1.), (1., 1.)]]]))
```
```response theme={null}
MULTIPOLYGON(((1 2.9,1 4,4 4,4 1,2.9 1,3 0,0 0,0 3,1 2.9)))
```
### معلمة الإدخال
المضلعات
### القيمة المُعادة
MultiPolygon
لمزيد من المعلومات عن أنظمة الهندسة، راجع هذا [العرض التقديمي](https://archive.fosdem.org/2020/schedule/event/working_with_spatial_trajectories_in_boost_geometry/attachments/slides/3988/export/events/attachments/working_with_spatial_trajectories_in_boost_geometry/slides/3988/FOSDEM20_vissarion.pdf) حول مكتبة Boost، وهي المكتبة التي يستخدمها ClickHouse.