L H7 ] 
pafs through the point which from tlie followiog ConfKie« 
rations be made evideat. 
Firft let it be required, by the extrcmiaes of the lines aj^^e, 
or ^,^/(inF/^.4)parallel one to anotherand d^e^ or kj. given , 
as parts or fegments of the Axis or Diameter of theFigure, to 
deterniiLne wljiat curvity paffeth through their extremities, 
according to the conditions of the five Conical Seftions» 
Firft if It be found that —7— — 7—™— equal to i ■= 
a e a e-j- e e ^ 
i^-IlJJ-J!^^ the 
dd-^-e d e d ' 
Lines hy s being difpofed in an uniform increafing order ; . 
But ifiT thebiggeft ftands in the middle^ than " 
£f^==,=5'-^^+^^:^willftewth Ifthe 
^ee-f-de de de-f-dd 
Lines d , e ht fegments 6f a line drawn parallel to the Jxis , 
then traiispofing and ordering the foregoing Equations,Rules 
ate) niafv fef^ . If An:^ , or ^-^^ — -j. 
%}t ;th5il'dit^^iae|3aiIingiithrougK£te is right: 
Charade- 
jri&iiM 6S4ln iHvpg5^ of a 
©irele . im miy by a Relati^^ t^ the inequality of the Jxes^ 
, .:^SG£«5eai^V'^tbP^^^ 
I :in the Arch of a Circle , to find the Difi:ance from the Center 
I :=^iom . or m-^ e y and to determine the Radius . There is a 
l little variety in the cafe , when the given fines are in the fame 
Quadrant or othcrwife : but there being only occafion for this 
' c c h b 
firft Cafe , the Rule is this , — 4-^ e=:: e-i-m : And 
.cccc~2ccbb-\-bbhh. . , , . 
S V — — — — ~'^iee4-lbb4'icc=: Radius, 
f Thirdly , in a Circle^ having ^ ^ and ^ 5 to find ^ : The 
Hh2 Equa- 
