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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 6
# Folio 30v, page id 00068208:0060
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apec
AB
cd, est ex posito xm esse in centro , est lal
e
lam
circuli magni in plano tabellae, sectio communis selam tabella ed
AG B.
AB
plani
et plani carcus AGB quantum satis producti et _ ipsius AGB quod
est planum arcus AB, quantum satis producti, quod est planum
arcus AB. Utile autem erit cogitare Tabeltam tangere
sphaeram a Tabella tangi, et quoniam loca a contactu maxime
remota on magis a situ spha quem in sphaera habent distorquentur
 n essa loca autem versus polos et ignota sunt pleraque aut
certe rarius adeuntur, ideo possumus pro generali descriptione assumere
quatuor puncta quadrante a se invicem remosa, in aequatore, ibique
His qualyortabulisqe
fangere sphaeram planos projectionis deinde duas tabulus
adjiciemus pro regionibus circumpolaribus fingendo sphoerama
Tabula tangi in polo Arctico, et ab alia Tabula in Antarctico
Sed ut aechantibres ut distinctius sphaera in plano exhibeatur pt
 quanquam fortasse pro generali descriptione Mindii
Geobi terrae, imaginationis formandae causa sufficiat duo exsriber
Hemisphaeria in plano, spectatore vel lumine collocato non
in centro sphaerae, sed in sublimi, supra punctum ubi Tabella spha
tangit. Sed tunc circuli magni non exhibentur lineis rectis, nisi illi
tattum qui trauseunt per punctum contactus. Manifestum autem
est projectiones sphararum fore sectiones Conicas, quoniam contiss
circulserum,
 est in oculo vel lumine, et basis in circulo; et conus secatur
sed ad usum dimetiendi distantiarum in plano
connoscendarum. Oculus vel lumen in centro sphaerae ut dixi collocari
ircuum
a tabella.
potest, et tunc projectiones, circulorum magnorum semper erunt
linea rectae, aection quod nobis sufficit, in his enim distan
tiae sumuntur licet projectiones circulorum minorum faturae sint sectio
nes ( Conicae, quae oriuntur cono rectos a  pluna Tabella secto.
Ut autem accumte distincte satis exhibeatur Globus in tujgsmodi
minimum cex
Mappis planispharicis suaserim Zonam torridam exhiberi uoe
Mappis, si duodem puncta aequatoris totidem tabulis ta nigi
x
52
ponantur. Totidem velim adhiberi pro quavis Jona orrida temperata,
pro regiinibus circa polum Arcticum una et circa Autarcticum alia
viginti
suffecerit, ita totus orbis Mappis trigiata octo ex hibebitur, ex