319126
_Aliter_.
Fiat PZ = √ 2 APM.
&
ſit ZO curvæ AZK perpendi-
cularis; erit PM = PO.
cularis; erit PM = PO.
_Exemp_.
Sit AP = x;
&
APM = {x3/r}.
quare PZ = √ {2 x3/r}
unde reperietur PO = {3 x x/r} = PM; & rurſus AMB
erit _Parabola_.
unde reperietur PO = {3 x x/r} = PM; & rurſus AMB
erit _Parabola_.
_Probl_. VIII.
Sit figura quævis ADB (rectis DA, DB, &
linea AMB com-
11Fig. 190. prehenſa) & à Dutcunque projectâ rectâ DM, datum ſit ſpatium
ADM; oportet rectam DM definire.
11Fig. 190. prehenſa) & à Dutcunque projectâ rectâ DM, datum ſit ſpatium
ADM; oportet rectam DM definire.
Acceptâ quâpiam R, ſit DZ = {2 ADM/R};
&
ZO curvæ AZK
perpendicularis; cui occurrat DH ad DM perpendicularis;
erit DM = √ R x DO.
perpendicularis; cui occurrat DH ad DM perpendicularis;
erit DM = √ R x DO.
_Aliter_.
Sit DZ = √ 4 ADM;
&
ZO curvæ AZK perpen-
dicularis; cui occurrat DH ad DZ perpendicularis; erit DM
= √ DZ x DO.
dicularis; cui occurrat DH ad DZ perpendicularis; erit DM
= √ DZ x DO.
_De figuris involutis &
evolutis_ bellam σκέψιγ inſtituit _Præclarus Ge-_
_ometra D. Gregorius Aberd._ Alienæ meſſi nollem ego falcem meam
immittere, verùm liceat utcunque iſthuc pertinentes (aliud agenti quæ
mihi ſe ingeſſerunt) unam aut alteram obſervatiunculam his intexere.
_ometra D. Gregorius Aberd._ Alienæ meſſi nollem ego falcem meam
immittere, verùm liceat utcunque iſthuc pertinentes (aliud agenti quæ
mihi ſe ingeſſerunt) unam aut alteram obſervatiunculam his intexere.
_Probl_. IX.
Data fit figura quæpiam ADB (cujus _axis_ AD, _baſis_ DB) oper-
22Fig. 191. tet ei congruentem involutam exhibere.
22Fig. 191. tet ei congruentem involutam exhibere.
_Centro_ C, intervallo quopiam CL deſcribatur _Circulus_ LXX;
ſit
33Fig. 192. autem curva KZZ talis, ut pro lubitu ductâ rectâ MPZ ad BD
33Fig. 192. autem curva KZZ talis, ut pro lubitu ductâ rectâ MPZ ad BD
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