Elementa Matheseos Universae Volume 3

Elementa Matheseos Universae Volume 3

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1747 edition. Excerpt: ...pendicularis ad Planum ( . 502 Geom.) qua? etiam perpendicularis erit ad CD ( . 484 Geom. ). Cum fit AC=CD( . 15 ) & ACD Quadrans Circuli ( . 143 Geom. ), Spha?ra vero gignatur ex rotatione Scmicirculi ADB ( . 6 ): Hcmifphaerium ADGEDgignctur exrotatione Quadrantis ACD: Radius vero CD Citculum defcribit DGED ( . 131 Geom.). Circulus adeo maximus Spha?ram dividit in duo Hemifpharia. Q e. d. Theorema III. 20. Circuit maximi inSpbarafi tuo bifariam fiant & contra. Demonstratio. Quoniam Circuli AEBF & CEDF fab.I. funt maximi, perbypcth. erit EF Diame-F/g.4. ter Sphara? & cadem Diameter, utriufque Circuli ( . 18 ). Per recbm igitur EF uterque Circulus CEDF & AhBF Theorema V. 23. Recta AB ex Polo uno A Circuli Tab. I. DEF duela per Centrum Spbara in I Polum alterum adit. Demons Tratio. Quoniam AB per Centrum tranfit, ex bypotb. erit AD + DB = AF + FB ( .135 Geom. ). Et quia in A Polus Circuli DEF, per bypotb. erit AD = AF ( .12), adeoque DB = BF ( . 5 I Aritbm. ), confequenter eft alter Polus Circuli DEF ( .12). Qe.d. Corolla Mum. 24. Reda AB ex Polo uno A Circuli DEF per Centrum Circuli G duda in alteram . incidit ( .15). Theorema VI. 25. Arcus Circuli Spbara maximi inter alium H iL, & ejus Polos A & interceptus Quadrans efi: qui vero inter Circulum minorem DEF & ejus Polum unum A intercipitu'r, Qu adrante majori interceptus vero inter eundem ejr Polum alterum, Quadrame minor. Demonstratio. Ducatur ex Polo A in alterum reda AB, tranfibit ea per Centrum Sphrera ($.2 i) adeoque & Circuli maximi HIL ( . 15 j, kemque per Centrum G Circuli minons DEF ( . 24)....show more

Product details

  • Paperback | 220 pages
  • 189 x 246 x 12mm | 399g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236559495
  • 9781236559494