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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 208r, page id 00068200:0417
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Invenire aream deti Ancierianguli Sphaericis et angutos ejus, aeque
varia de eo explicare.
P28. 32
Si criangulo birectansula hac ad ejus verricem xquilaterum aequale, la-
cus aequilateri productum, ablcindet in cercia parte complementum
anguli verticalis dicti birectanguli IColcelis.
Pa8. 134.
Si lacus aequilateri crianguli facti ad verricem IPolcelis birectansuli ab-
Ccindat in cercia parte complementum anguli verricalis dicti Ilolcelis,
eric iltud aequilaterum illi Hosceli aequale.
P28. 350
Si complemencum anguli ad verricem IColcelis birectansuli per arcum
diridatur incertia parte, qua vicina est nonagelimo arcui; ille arcus
divitor Faciec angulum in puncto verricis qui erit angulus aequi-
laceri aequalis cum Ilolcele illo.
Pa8, 36.
Si criangulo Sphaerico Hoscelibirectangulo, hatad ejus verticem e qui
lacerum aequale; hujus aequilateri angulus erie compolitus ex 60.
sradibus, de cerria parte anguli verricalis iphus Iolcelis. p25, 36.
Si trian guli a quilateri an gulus compolitus sit cx 60. gradibus de exter-
tia parce ansuli verticalis crianguli Iloscelis birectanguli, erie trian-
sulum aequilacerum criangulo Vosceli aequale.
Datharca IColcelis, invenire aequilaterum ipsi aequale.
P28, 37
Pa8. 38.
Si Spharico Tlolceli Birectangulo hac ad ejus verticem aliud llosceles
aequaleprioris tantae parti, quanta ipCum posterius ek pais certi poly.
soni regularis, de habens in verrice centralem anoulum illius certi
volygoni; angulus ad balim iltius posterioris Hoscelis, compositus.
erit ex Cemiangulo polygoni rectilinei regularis, cujus assumptus oA
centralis angulus, ex ex dimidia parce cantae portionis anguli verci.
calis prioris Iloscelis, quor habet Polygonum latera.
P25. 40.
Decerminare limires ansulorum, quos habet quodibee Polygonum
Sphaericum regulare
P25. 42.
Dato angulo Polygoni Sphaerici regularis reperire aream ejus, d
IColceles birectangulum aqualc.
Pa8. 43.
Dato IPoL:ele auc quolibet Scaleno, reperire illi Polygonum aquale:
AUE CONETA.
P28. A;.
Daco lacere Polrgoni Sphaerici regularis, reperire angulum ejus, de
aream, icemque Tlolceles birectangulum ipl aqualc.
Pa8. 44..
Dato vel latere vel ansulo Polrgoni Sphaerici regularis, iplum
delcriber
P23. 45..
Datis duabus Asuris Splxricis. Similibus invenire carum proportio-
nem.
PaO. 45.
Dacum criangulum Sphaericum dividere in datas parces: item in datai
Pa8. 46.
Data acea qualibee, vel muleitudine graduum quadcatorum . Inrenire:
Polrgonum xquale ips Sphericum res ulare.
Pac. 47.
Explicare.
Lactolle.