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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 3
# Folio 3r, page id 00067995:0005
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tantum opus
e-
1+ C
4 C =() etc.
multiplicare per b, tangentem anguli rhombic ad
meridianum, posito sinu totum esse unitatem,
et prodactum pret arcus aglatoce differentia
longitudinem quaesita. Sed etia  ex superioribus deuique ex superioribus
ne ad loganthmos redacta ad modum artic. 5.
prop. 4, nostri schediasmatis de Resistentia Medii
 erunt ave differentiae longitudinum, punctorum  C 3l et il
ut logarithmi rationim et 1+ e: 1- e
ad 1+ ((): 1 = (() posito radium sphaerae
esse unitatem et sinus latitudinum dictorum
punctorum esse C et (1) respective esse e, et (e). Ex his
ade jam fandnes practicos facile ducet peritus. Veluti
 si data differentia loagitudinis et batitudinis
quaeras  locorum quaeras rhombum, b
duo ad alium ducat, seu angulum rhombicae
linea ab uno ad alium ducente; nam tangens
nam tangens asuli rhaubi qsici anguli
quemrhombus quaesibus facit ad meridianum, es
sinum totum, ut dige
ventia arcus differentiae longi,
tudinum est ad logarithmum Hpe Hyperbolicum
dictrrum rationum. dictae rationis utile ante
quod si sphaeram ponamus a compluribus planis tangi
en E+ EtC etc
quodsi meridiani in planisphaerio exhibeant projiciantur
rectis parallelis, quod cautionibus debitis adhibilis plerumque satis
commode fieri potest, jalva exactibudine etiam lineae rhombicae
tunc etium lineae rhombicae erunt rectae. Quod si jam
tradus longitudinis sumumus ganales horumque partes exribeau
laturpit
lang
projiciamus aequalibis intervallis oportet  gradus assumi inaequales
latitudinum dicidi ineqvaliter et sic quidem, tad imappam Gebvelrie construendam
ut ducta ad libitum recta omnes meridianos serante
oblique secante
exdictis patet
latitudines punctorum intersectionis habeant ipsas 1t et e
valice
site: e geometrica progressione
c incedentesra id enim si una recta pr
numeros
omnes His mappis si alias jungas, ubi sphaeraespartes projiciuntur
ex centr in pluna tangentia omnesque arcus circulorum nmgnorum
echibentur rectio pleras in pras probe satis praesari possunt
unde comiparandu cupe figulis
se
numeris sit scalct
iatitudinis faullimum erit
ipsa prappas
ex vero
mensurare crectam quam
quamvis in mopppea
incibilem, seu ron
eta
quantr lo egitudinem
riombicae dat
t0
adeoq loeotum
aver distam
cadeotiae.
ore
via
eA.
tin
t
rect