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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 1r, page id 00068531:0001
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roblemata Optica Nova
reperta a
G. G. L. L.
cujus libet-
probl. +. Omnes radios unius puncti objecdi dati
colligere in unam lineam per
refractionem, ita ut radii omnes a dato puncto
ad superficiem refringentem objectivam
Si omnes supenficies refringentes sin sphae.
ricae concentricae; faciantque redios conder-
gentes: radios radii omnes unius puncti
probl. 1. Efficere ut omnes radii a quo-
libet puncto dato objecti dati ducti ad puncta
aequidistantia superficiei objectivae aequidi–
stantia a puncto dato colligantur in
unum punctum.
solutio:
Efficietur hoc: si omnes superficies refrin-
gentes sint concentricae, et faciant radios
convergentes.
Demonstratio
Esto objectum abc. Superficies refringens sphae-
rica objectiva def. cujus centrumg puncti
b radius b4. perpendicularis refractionis expers
beg. continuetur ultra g. Radius bd
refractus in d. ad perpendicularem versus h
incidat in h. in aliam superficiem sphaericam
sik. superficiei def concentricam; et
per quam rursus in medium rarius egredia
tur. Neigitur divergat radiu bdh. ab
irrefracto beq contindato; patet super
ficiem hik. debere concavitatem obevertere
medio densiori. Ita radius su begbd3
secabit radium beq. in l. Eodem moda radius
bf.  refractus ad in medium densius
ad K ex densiore refringetur ad l. Idemus
dicendum est de omnibus punctis superficiei def
aequidistantibus a puncto b. quantum ab exd
distat punctum D. Id est qui continentur cir–
cumferentia circuli in superficie sphaerica
cujus diameter est df
Idem dicendum
de radiis ad. au et omnibus aliis in plano
non designabilibus qui continentur circumfe
rentra circuli in supperficie sphaerica,
cujus diameter dn. Colligentur enim omnes in
puncto, O
Observandum est nihil referre sive superficie
def et hik. sint portiones ejusdem sphaerae
sive sphaerarum concentricarum. Mosse item
vel ddhiberi corpucli vel Corpus cylindricum
def. K ih contentum superficiebus sphaericis
Nisse
ram integram defpxit
+sphaericae.
+ in media en si