. Commentarii Academiae scientiarum imperialis Petropolitanae. 54 PRGPOSITIONES 2. Primum problema hoc efto : Datis radio. circuli BD et arcuum AB , BC chordis, Inuenire chordam AC arcus AC ex prioribus arcubus datis compofiti. Ponatur radius DE=BD=:r, Chorda AB=:r^ chorda BC~<^. chorda quaefita dla diametro BE lineisque AE ct CE , erunt anguli BAE et BCE redi , adeoque per Pythagorae theo- rema fiet linea AE=:V(^rr-a~)et CE~Vi^r--l,') Exinde per theorema Ptolomaei habebitur ABxCE-i-BCxAE—BExAC. fiue confequenter ay(^r^-b')-i-m^r^-a-)z^x. Q. E. I. 3. Ex problemate priori pendet f
. Commentarii Academiae scientiarum imperialis Petropolitanae. 54 PRGPOSITIONES 2. Primum problema hoc efto : Datis radio. circuli BD et arcuum AB , BC chordis, Inuenire chordam AC arcus AC ex prioribus arcubus datis compofiti. Ponatur radius DE=BD=:r, Chorda AB=:r^ chorda BC~<^. chorda quaefita dla diametro BE lineisque AE ct CE , erunt anguli BAE et BCE redi , adeoque per Pythagorae theo- rema fiet linea AE=:V(^rr-a~)et CE~Vi^r--l,') Exinde per theorema Ptolomaei habebitur ABxCE-i-BCxAE—BExAC. fiue confequenter ay(^r^-b')-i-m^r^-a-)z^x. Q. E. I. 3. Ex problemate priori pendet fohitio fc- quentis : Datis chorda arcus fimpH et radiocircuH; inuenire chordas arcuum multiplorum : fiat in prio- re problemate azzb fic obtinebitur chorda arcus du- pli. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Imperatorskaia akademia nauk (Russia). Petropolis, Typis Academiae
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