406392DISSERTATIO11
Addatur ad quadratum R V # 4900000000
Summa erit # 16620227600
Unde deductum quadratum L V # 12003831844
Relinquit numerum # 4616395756
Cujus dimidium # 2308197878
Per R V diviſum dabit R N # 3297. 4.
Et ideo reliquam N V # 3702. 6.
Porro quadratum N V # 1370924676.
De quadrato V L ſubductum relinquet quadratum \\ perpendicularis N L # 10632907168.
Unde ipſa N L dabitur # 10311. 6.
Haud alia ratione invenietur R M # 7033. 3.
Et V M # 33. 0.
Unde ipſa perpendicularis M Q datur # 9414. 6.
Additis vero perpendicularibus M Q & L N, hoc \\ eſt ipſa M H, dabitur tota Q H # 19726. 2.
Deinde ſubducta R N de RV datur reliqua NV, hoc \\ eſt ipſa L H # 3735. 9.
Quamobrem junctis quadratis Q H & H L inve- \\ nietur diagonius Q L diſtantia inter Bergam & Bom- \\ meliam, quæ Problemate XXVIII. tanta quoque \\ fuit # 20076. 8.
Addatur ad quadratum R V # 4900000000
Summa erit # 16620227600
Unde deductum quadratum L V # 12003831844
Relinquit numerum # 4616395756
Cujus dimidium # 2308197878
Per R V diviſum dabit R N # 3297. 4.
Et ideo reliquam N V # 3702. 6.
Porro quadratum N V # 1370924676.
De quadrato V L ſubductum relinquet quadratum \\ perpendicularis N L # 10632907168.
Unde ipſa N L dabitur # 10311. 6.
Haud alia ratione invenietur R M # 7033. 3.
Et V M # 33. 0.
Unde ipſa perpendicularis M Q datur # 9414. 6.
Additis vero perpendicularibus M Q & L N, hoc \\ eſt ipſa M H, dabitur tota Q H # 19726. 2.
Deinde ſubducta R N de RV datur reliqua NV, hoc \\ eſt ipſa L H # 3735. 9.
Quamobrem junctis quadratis Q H & H L inve- \\ nietur diagonius Q L diſtantia inter Bergam & Bom- \\ meliam, quæ Problemate XXVIII. tanta quoque \\ fuit # 20076. 8.
XXX. Problema
Triangulum E I ?, Leida, Harlemum, Alcmaria.
22 Per Problema XIV datur E I, diſtantia inter Lei- \\ dam & Harlemum # 7051. 1.
Per Problema XVI datur I ?, diſtantia inter Harle- \\ mum & Alcmariam # 7690. 6.
Ex obſervatione ipſa angulus E I ? # 172 gr. 11 ſcr.
Quamobrem E ? diſtantia Alcmariæ & Leidæ da- \\ bitur # 14708. 5.
Et angulus I E ? # 3 gr. 15 ſcr.
Et angulus E ? I # 3 gr. 8 ſcr.