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(79)
~M ctf/ /m~Mr ~Mto~mpAon.
Ex quo Epistolam ad te dedi, tres a te accepi, unam Décerna. 15, alté-
rant Dec. 24, tertiam at JanHan! nuper elapsi datam.
Quod attinet A~w tntht innotescit, tam qnoad Geometricas quam Mechanicas Curvas. Nihilo
tamen minus ob Séries ad me missas grattas habeo, quas ut remunerem
mitto quae sequuntur.
Sit Radius = r~ Arcus = a, Tangens = t, Secans = 6,
Et' erit a f etc.
Etertt(!=<–+-––-t-–etc.
3r' 5/~ <)~
2 a' n a' 62 a''
Entque <=~+37~3-,5~~ 28357' etc.
Ets=~'+~-)-+ + etc. Sit'nunc Tansens arti~cia!is
< t s J' ay ~r' ~20~ oob/).r' l' 7 etc. It "IJunc artl Cla 1S
= <, et Secans artificialis etintegerquadrans ==
< < 62f!" “
Eru: x == – ––- + -“ -+ -~––- + 'Q.:<-–. eœ. Sit a a – o = e, et ertt
)2/ 45~ a520/" 2o35or''
c' 6! c~ x'n
t e e br' 2/j. 50~0~ ~25~by' etc.
Sit nunc Secans ardûciaiis ~5 g~r. = sitque + Secans artificiahs ad
libitttin, T 4P [3 f' !/j.~ 453/" etc. erit-
itbttum, ent ejus Arcus =~?+~+-3~+'3~ '7g~ etc., ent-
f' 6t~ t' 2T)~
nue M –
6/ 34~ 5of!)0y* ~zS~Sr'
Hic animadvertendum est Radium artificialem esse o; et ubi inveneris
majorem quam M, sive artificialem Secantem ~5 g/ majorem esse data
Sécante, mutanda esse Signa, et pergendum secundum vutgaris Algebrae
pra'cepta.
Sit eHipsis cujus aher Semlaxinm == a!ter==c/ ex quolibet Curvae
nec non Areae supradictae, est inter exempta.
ejus Aream exhibere valait. Sit igitur AV Radius circuil
inscripti Unitas, et VK. Arcus x, eritArea BDVA
i ~.3 ~.6 T ~.7 ~t~
9 225 x5 t323o 'x7 e.tc.
Tractatum hac de re scripsit, in quo inventio iongitudinis
totius vel datae partis Cur~ae E~pttc~ et QMo'~n'~ncM DV,
c~nradictaR. est inter exemma.
QMa~nc~ Veterum quod attinet, nulla Methodus, nullus Geometra
a zr T il
~M
Ex quo Epistolam ad te dedi, tres a te accepi, unam Décerna. 15, alté-
rant Dec. 24, tertiam at JanHan! nuper elapsi datam.
Quod attinet A~w
tamen minus ob Séries ad me missas grattas habeo, quas ut remunerem
mitto quae sequuntur.
Sit Radius = r~ Arcus = a, Tangens = t, Secans = 6,
Et' erit a f etc.
Etertt(!=<–+-––-t-–etc.
3r' 5/~ <)~
2 a' n a' 62 a''
Entque <=~+37~3-,5~~ 28357' etc.
Ets=~'+~-)-+ + etc. Sit'nunc Tansens arti~cia!is
< t s J' ay ~r' ~20~ oob/).r' l' 7 etc. It "IJunc artl Cla 1S
= <, et Secans artificialis etintegerquadrans ==
< < 62f!" “
Eru: x == – ––- + -“ -+ -~––- + 'Q.:<-–. eœ. Sit a a – o = e, et ertt
)2/ 45~ a520/" 2o35or''
c' 6! c~ x'n
t e e br' 2/j. 50~0~ ~25~by' etc.
Sit nunc Secans ardûciaiis ~5 g~r. = sitque + Secans artificiahs ad
libitttin, T 4P [3 f' !/j.~ 453/" etc. erit-
itbttum, ent ejus Arcus =~?+~+-3~+'3~ '7g~ etc., ent-
f' 6t~ t' 2T)~
nue M –
6/ 34~ 5of!)0y* ~zS~Sr'
Hic animadvertendum est Radium artificialem esse o; et ubi inveneris
majorem quam M, sive artificialem Secantem ~5 g/ majorem esse data
Sécante, mutanda esse Signa, et pergendum secundum vutgaris Algebrae
pra'cepta.
Sit eHipsis cujus aher Semlaxinm == a!ter==c/ ex quolibet Curvae
nec non Areae supradictae, est inter exempta.
ejus Aream exhibere valait. Sit igitur AV Radius circuil
inscripti Unitas, et VK. Arcus x, eritArea BDVA
i ~.3 ~.6 T ~.7 ~t~
9 225 x5 t323o 'x7 e.tc.
Tractatum hac de re scripsit, in quo inventio iongitudinis
totius vel datae partis Cur~ae E~pttc~ et QMo'~n'~ncM DV,
c~nradictaR. est inter exemma.
QMa~nc~ Veterum quod attinet, nulla Methodus, nullus Geometra
a zr T il
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