CALCULATOR
Internal Directed Segment Coordinate from Positive Ratio Calculator
Internal Directed Segment Coordinate from Positive Ratio. Coordinate to return: X coordinate, Y coordinate only. Example: X1: 0 m, Y1: 0 m, X2: 6 m, Y2: 9 m, Ratio start: 1 number, Ratio end: 2 number, Coordinate to return: 1 selection gives 2 m. Internal division only; positive dimensionless ratio weights; selected 2D coordinate. Only this original stated job is proposed, not full historical sour
Internal division only; positive dimensionless ratio weights; selected 2D coordinate. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Divide displacement A to B into m/(m+n) of the whole segment.
Accepted inputs: X1: -10,000 to 10,000 m; Y1: -10,000 to 10,000 m; X2: -10,000 to 10,000 m; Y2: -10,000 to 10,000 m; Ratio start: 0.001 to 10,000 number; Ratio end: 0.001 to 10,000 number; Coordinate to return: choose X coordinate (1), Y coordinate (2).
How the calculation works
P=(nA+mB)/(m+n) for AP:PB=m:n
Worked example
With x1 0 m, y1 0 m, x2 6 m, y2 9 m, ratio start 1 number, ratio end 2 number, coordinate to return X coordinate, internal directed segment coordinate from positive ratio is 2 m.
Assumptions and limits
Internal division only; positive dimensionless ratio weights; selected 2D coordinate. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Divide displacement A to B into m/(m+n) of the whole segment.