Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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Nam ob OZq - ZT x ZS. OZq : : OZ. OC; erit OZ cub
= OC x OZq - OC x ZT x ZS.
tranſponendóque OC x ZT x ZS = OC
x OZq - OZ cub.
atqui propter OZ. ZS : : OC. CN. eſt
OZ x CN = ZS x OC.
quare OZ x CN x ZT = OC x OZq
- OZ cub;
adeóque (elidendo OZ) erit CN x ZT = OC
x OZ - OZq.
vel CN. OC - OZ: : OZ. ZT; hoc eſt CB. CZ: :
OT.
ZT. . & componendo BZ. CZ : : OT. ZT : : I. R. itaque
primò liquet punctum Z imaginem eſſe puncti A, ex refractione
factam ad circulum BN.
quinetiam ob CY. YN : : ρ O. O σ : :
R.
I; palàm eſt NO refractum eſſe radii ad CY, hoc eſt ad FO
paralleli.
liquidò proinde conſtat propoſitum.

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