«;o Mifcellanea Curiof*. 



2. That the Secant of the Complement of 

 the fame Diftance will be its Sefiii-diameter - 7 

 for an equal to in is equal to the Secant of can, 

 the Complement of dac. 



Since m equal to dn is equal to dc and 

 cn 3 it follows univerfally, that the Semi-tangent 

 of the Diftance of any great Circle to be pro- 

 je&ed ( that does not pafs through the Eye- 

 Point) from the remoter Pole of Projection, 

 fet off in the proje&ed Axis on one fide ©f the 

 Center, will give its Interferon ; and the 

 Tangent of the Complement of the fame Di- 

 ftance, fet off them the fame proje&ed Axis on 

 the contrary fide, will give its Centre, 



4. In all fmall Circles which 

 Fig> 8. cut the Periphery of the Plain 

 of Proje&ion at right Angles ; 

 or, which is the fame thing, whofe Poles lie in 

 the Circumference of the plain of Proje&ion, 

 that the Secant of the Complement of their 

 Diftances from the remoter Pole of Projection, 

 I fet off from the Center in the projected Axis^ 

 will give their Centers • for cm is equal to the 

 Secant of pea. 



5. That the Tangent of the fame Diftance 

 will be the Semi-diameter ^ for ma equal to 

 mdis the Tangent of pca^ or the Arch pa the 

 Complement of dc its Diftance from the Pole 

 of Projection. 



6. Since cm is equal to cd and dm 7 it follows, 

 that the Semi-tangent of its Diftance from the 

 Pole of Pro je&ion, fet off in the proje&ed Axis, 

 gives one Interferon \ and the Tangent of .the 

 Complement of the fame Diftance, fet off from 

 the Interferon the fameway^ gives the Centre* 



