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Lect. XIII.
_a_ + _b_ = _n_.
_aa_ + _ba_ = _nn_.
_a_3 + _baa_ = _n_3.
_a_4 + _ba_3 = _n_4, &
c.
Sumatur recta BA æqualis coefficienti _b_, &
hæc verſus H indefini-
11Fig. 206. tè protendatur; ſint anguli RAH, SBH ſemirecti, ſintque lineæ
ALL, AMM, ANN tales, ut rectâ GK ductâ ad AH utcunque
perpendiculari (quæ dictas lineas ordine ſecet punctis L, M, N; re-
ctaſque BS, AR punctis K, Z) ſit inter GZ, GK _media_ GL , 22Vid. pag. 90. _media_ GM, _trimedia_ GM; hæ lineæ propoſitarum æquationum
naturæ explicandæ inſervient. Nam ſi AG (vel GZ) dicatur _a_; erit
BG (vel GK) = _b_ + _a_; atque GLq = _aa_ + _ba_; & GM cub.
= _a_3 + _baa_; & GN_qq_ = _a_4 + _ba_3.
11Fig. 206. tè protendatur; ſint anguli RAH, SBH ſemirecti, ſintque lineæ
ALL, AMM, ANN tales, ut rectâ GK ductâ ad AH utcunque
perpendiculari (quæ dictas lineas ordine ſecet punctis L, M, N; re-
ctaſque BS, AR punctis K, Z) ſit inter GZ, GK _media_ GL , 22Vid. pag. 90. _media_ GM, _trimedia_ GM; hæ lineæ propoſitarum æquationum
naturæ explicandæ inſervient. Nam ſi AG (vel GZ) dicatur _a_; erit
BG (vel GK) = _b_ + _a_; atque GLq = _aa_ + _ba_; & GM cub.
= _a_3 + _baa_; & GN_qq_ = _a_4 + _ba_3.