C '4? ) 
addu(5Hs hadenus exemplis, Geometris integrum crit 
“ de methodo noftri judicare ; quam quidem, fi pro- 
“ ba fuerit, ulterius excolere pergent Sc excolendo Ja- 
“ tius promovebimt. Patet utique campus ampli/Ii- 
“ mus in quo vires fiias experiri poterunt, prselertim 
Logometri^ Trigonometriam infuper adjungant, 
‘‘ quibiis miram quandam affinitatem in fc invicem 
“ euntibus intercedere notabam. Hifce quidem prin- 
“ cipiis baud facile crediderim generuliora dari pofTe ; 
cum tota Mathefis vix quicquam in univerlb fuo am- 
“ bitu compledatur prxter Angulorum & Rationum 
“ Theoriam. Neque lane commodiora Iperabir, qui 
animadverterit effedionis facilitatem per amplilfi- 
“ mas illas, omnibufque Itiis numeris abfolutas, turn 
“ Logarithmorum, turn Sinumn & Tangentium tabu- 
^ las ; quas antecelTorum' noftrorum laudatilTimx 
“ folertix debemus acceptas. Ut vero tanti beneficii 
“ ubcrior nobis exlurgat frudus, id nunc exponendum 
‘‘ reflar, quibus artibus ad iltius modi conclufiones re,- 
^ diflima perveniatur. In hunc linem Theoremata 
“ quxdam turn Logometrica turn Trigonometrka ad- 
“ jecilTem, qux parata ad ufum alTervo ; ni conliil- 
tius vilum ellet, quum abfque nimiis ambagibus ea 
tradi non polTent, intada potius prxterire atque 
“ aliis denuo inveftiganda relinquere. 
Why the Author takes his Principles to be lb gene- 
ral, will farther appear by an Inllance or two. In the 
Problem already mentioned he mealiires the Ratio of 
the Air’s Denfities in any Altitudes, by th^ Altitudes 
themfelves, making life of the Altitude of an uniform 
Atmofphxre for the Modulus. So likewife when he 
confiders the Velocities acquired, and the Spaces de- 
fer ibed in given Times, by a Body projeded upwards 
or downwards in a refilling Medium with any given 
Velocity ; he lliews, that the Times of Defcent, added 
A a 1 to 
