1st Step for All

Science: 천문학 Astronomy; 생물학 Biology; 화학 Chemistry; 지질학 Geology; 수학 Mathematics; 물리 Physics

Engineering: 항공우주 Aerospace; 농업 Agriculture; 생물 Biological; 화학 Chemical; 토목공학 Civil; 전기공학 Electrical; 환경 Environmental; 산업 Industrial; 해양 Marine; 재료 Materials; 기계 Mechanical; 원자력 Nuclear

Architecture: 건축 Architecture

Health: 건강보건 Health

ETC: 기타 ETC

현재 위치

Inner center of triangle, its coordinates by coordinates of three points and lengths of opposite sides

작성자 Uploader : rainbow 작성일 Upload Date: 2019-02-23변경일 Update Date: 2019-02-25조회수 View : 1313

As shown in the figure, when the coordinates of each point A, B, C of the triangle are (xA, yA), (xB, yB), (xC, yC) and the length of each opposie side is a, b, and c, the coordinates of the inner center are as follows.

xO = (a * xA + b * xB + c * xC) / (a + b + c)
yO = (a * yA + b * yB + c * yC) / (a + b + c)

Since the above two formulas have the same form, they can be expressed as follows.

xy0 = (a * xyA + b * xyB + c * xyC) / (a + b + c)

xyO: x or y coordinate of the inner center
xyA, xyB, xyC: x or y coordinates of each point

*** 참고문헌[References] ***

https://en.wikipedia.org/wiki/Incenter

xyO = (1/(a+b+c))*(a*xyA+b*xyB+c*xyC)

작성자의 수식그림이 없습니다. No picture for this formula


변수명 Variable	변수값 Value	변 수 설 명 Description of the variable

※ 이 사이트는 광고수익으로 운영됩니다.

★ 로그인 후 수식작성 및 즐겨찾기에 추가할 수 있습니다.
★ To make new formula or to add this formula in your bookmark, log on please.

1st Step for All

현재 위치

Inner center of triangle, its coordinates by coordinates of three points and lengths of opposite sides

코멘트