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synharmonical
synharmonical n.
Brit. 
/ˌsɪnhɑːˈmɒnᵻkl/
, /ˌsɪnhɑːˈmɒnᵻkl/U.S. /ˌsɪnˌhɑrˈmɑnək(ə)l/
see quots./ˌsɪnˌhɑrˈmɑnək(ə)l/Π
1850 T. P. Kirkman in Cambr. & Dubl. Math. Jrnl. V. 97 The tangents at the intersection of p = 0 and q = 0 form with them an harmonic pencil... Let this be denoted by saying that the two branches of [the curve] R = 0 are synharmonicals in respect of [the straight lines]p = 0 and q = 0.
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