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InfiniteLineThrough[{p1,p2,…}]

点 piを通る直線を与える．

詳細
Details and Options Details and Options
例題  
例  
スコープ  
アプリケーション  
基本的なアプリケーション  
特性と関係  
関連項目
履歴
引用書式

InfiniteLineThrough

InfiniteLineThrough[{p1,p2,…}]

点 piを通る直線を与える．

詳細

例題

すべて開く すべて閉じる

例  (2)

3点を通る無限直線：

Wolfram Language code: pts = {{0, 0}, {1, 1}, {2, 2}};
Wolfram Language code: InfiniteLineThrough[pts]

線を表示する：

Wolfram Language code: Graphics[{%, Red, Point[pts]}]

無限直線から点までのRegionDistance：

Wolfram Language code: RegionDistance[InfiniteLineThrough[{{0, 0}, {1, 2}}], {5, 6}]

スコープ  (2)

InfiniteLineThroughは座標に使うことができる：

Wolfram Language code: InfiniteLineThrough[{{0, 0}, {2, 2}, {4, 4}}]

複数の点：

Wolfram Language code: InfiniteLineThrough[{Point[{0, 0}], Point[{1, 0}]}]

点集合：

Wolfram Language code: InfiniteLineThrough[Point[{{0, 0}, {1, 0}}]]

InfiniteLineThroughは1Dの点に使うことができる：

Wolfram Language code: InfiniteLineThrough[{{0}, {2}}]

2D：

Wolfram Language code: InfiniteLineThrough[{{0, 0}, {2, 2}}]

D：

Wolfram Language code: InfiniteLineThrough[{{0, 0, 1, 0}, {2, 2, 3, 0}}]

アプリケーション  (3)

基本的なアプリケーション  (3)

3つの点を通る直線を可視化する：

Wolfram Language code: pts = {{0, 0}, {1, 1}, {2, 2}};
Wolfram Language code: Graphics[{InfiniteLineThrough[pts], Red, Point[pts]}]

3つの点を通る円の陰的表現を求める：

Wolfram Language code: RegionConvert[InfiniteLineThrough[{{1, 0}, {3, -1}}], "Implicit"]

そのパラメータ表現：

Wolfram Language code: RegionConvert[InfiniteLineThrough[{{1, 0}, {3, -1}}], "Parametric"]

ある点集合に最もフィットするInfiniteLineを求める：

Wolfram Language code: pts = Sort @ {{-24, -20}, {-24, -19}, {-25, -20}, {-80, -59}, {-76, -56}, {-95, -70}, {-83, -61}, {-46, -35}, {-58, -44}};
Wolfram Language code: lines = InfiniteLineThrough /@ Subsets[pts, {2}];
Wolfram Language code: TakeSmallestBy[lines, Count[RegionMember[#, pts], False]&, 1]

RegionFitを使った最適フィット：

Wolfram Language code: RegionFit[pts, "Line"]

比較する：

Wolfram Language code: Graphics[{Point[pts], %, Red, First[%%]}]

特性と関係  (2)

InfiniteLineThroughはInfiniteLineオブジェクトを返す：

Wolfram Language code: InfiniteLineThrough[{{0, 0}, {2, 2}, {4, 4}}]

RegionFitを使ってある点集合に最もフィットするInfiniteLineを得る：

Wolfram Language code: RegionFit[{{-24, -20}, {-24, -19}, {-25, -20}, {-80, -59}, {-76, -56}}, "Line"]
Wolfram Research (2022), InfiniteLineThrough, Wolfram言語関数， https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

テキスト

Wolfram Research (2022), InfiniteLineThrough, Wolfram言語関数， https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

CMS

Wolfram Language. 2022. "InfiniteLineThrough." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

APA

Wolfram Language. (2022). InfiniteLineThrough. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InfiniteLineThrough.html

BibTeX

@misc{reference.wolfram_2026_infinitelinethrough, author="Wolfram Research", title="{InfiniteLineThrough}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/InfiniteLineThrough.html}", note=[Accessed: 31-October-2026]}

BibLaTeX

@online{reference.wolfram_2026_infinitelinethrough, organization={Wolfram Research}, title={InfiniteLineThrough}, year={2022}, url={https://reference.wolfram.com/language/ref/InfiniteLineThrough.html}, note=[Accessed: 31-October-2026]}