CALCULATOR
Circumcenter y for Triangle (0,0),(b,0),(u,v) Calculator
Circumcenter y for Triangle (0,0),(b,0),(u,v). Example: Base: 6 m, U: 3 m, V: 4 m gives 0.875 m. Triangle placed on positive horizontal baseline and positive altitude; selected y output, x shown. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Triangle placed on positive horizontal baseline and positive altitude; selected y output, x shown. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Equate squared distances from O to all three vertices; subtract common terms.
Accepted inputs: Base: 0.1 to 1,000 m; U: -1,000 to 1,000 m; V: 0.1 to 1,000 m.
How the calculation works
Ox=b/2; Oy=(u²+v²-bu)/(2v)
Worked example
With base 6 m, u 3 m, v 4 m, circumcenter y for triangle (0,0),(b,0),(u,v) is 0.875 m.
Assumptions and limits
Triangle placed on positive horizontal baseline and positive altitude; selected y output, x shown. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Equate squared distances from O to all three vertices; subtract common terms.