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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 214, page id 826603459:0260
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DeGeodaesia.
terum dividenao. Nempe, li duplum arex (AB)
per alcicudinem dividatur, habetur Bass; Fin
ver basin, habecur alcitudo. PUTa A) AB (B.
B) AB (A. Acg; de Triangulo Rectangulo
laCTenUS.
Trianguli Obliguanguli (sire Acucangulum (It. Ere Obli
quansulum,) calculus a Trianguli Rectanguli calculo depen.
dec Demilsa enim ab angulo quoris in lacus oppolicum per-
Dendiculari emergunt duo Triangula Rectangulas ex quarum
calculo cognoscitur area Trianguli expolici. Exsempli gracia,
In eriangulo BBC, ab ansulo C demissa perpendiculari CA,
(unde tune ad A anguli uerinq; recti)
emergunc criangula rectangula C. AB,
C AR. Stigitur C A dicatuR A, AB
dicacur b, AB dicacur B, _ BB dica
tur B = b F B: eric C per modo de-
monserata) = A b area crianguli C: AB
EAB area criansuli C AB. ide
Oque = Ab F = AB = = AB arca 10.
cius CBB = C AB + C AB. HOC CA,
Si trianculi cuju(vis alindo (sive pera
pendicularis a verrice ad ba(in) ducatur 3B.
semissem Basis, Cvel Bas: s in semissem alticudinis, ) emereit area trian
euli.
B
B
+ B-
A) ABC
B) AB(B
Trianculi
Oblrquae.
Nocandum aurem est, quod in trianculo Obtusangulo, si ab uirovis
acutorum anculorum deminatur perpendicularis (uE nempe anguluS
ille acucus, puca B; habeatur pro vercice crianguli, et lacerum
breviorum alcerum, C B, pro bale, )perpendicularis illa (puta P L.)
cader extra exposirum trianculum in basin productam: (quod Ceo
mecrice, E opus ett, Facile eR probacu:) inrariata camen pra
cedentis regulx veritate; quae quidem hic Subductione collisi
cur, sicur in praecedente exsemplo Addicione. Ouod Sic olten
dicur.
Trianguli BEB rectanguli (proprer angulum rectum ad F,
demilsa perpendiculari Factum,) area habetur ex ductu alcicu
dinis BF in ZFB. Cemissem Basio; Triansuli verO. BFC. (ParI
de