The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página xviii
... fore- going Observations . VII . Important Principles of Divine Revelation confirmed from the foregoing Conjectures . VIII . Such Inferences shewn to be the common Voice of Nature and Reason , from the Testimonies of the most ...
... fore- going Observations . VII . Important Principles of Divine Revelation confirmed from the foregoing Conjectures . VIII . Such Inferences shewn to be the common Voice of Nature and Reason , from the Testimonies of the most ...
Página 11
... fore of the Eye from the Tower being given by measu- ring , there is given at the same time the Height of the Tower . Q. E. I. The VIIth Propofition in Euclid is for the fake of the VIIIth , which without it will here be demonftrated ...
... fore of the Eye from the Tower being given by measu- ring , there is given at the same time the Height of the Tower . Q. E. I. The VIIth Propofition in Euclid is for the fake of the VIIIth , which without it will here be demonftrated ...
Página 12
... fore the Angles B AF , CAF ( d ) are equal . Therefore the given Angle I AL is bisected . Q.E. F. Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , 5c , equal Angles , viz , by bisecting each Part again . Scholium ...
... fore the Angles B AF , CAF ( d ) are equal . Therefore the given Angle I AL is bisected . Q.E. F. Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , 5c , equal Angles , viz , by bisecting each Part again . Scholium ...
Página 18
... fore the common Line F B being added , AC , BC are greater than AF , FB . Again , OF , BF are greater ( b ) By the ( b ) than O B. Therefore the common A O being ad- ded , A F , BF are greater than AO , BO . Therefore AC , CB are much ...
... fore the common Line F B being added , AC , BC are greater than AF , FB . Again , OF , BF are greater ( b ) By the ( b ) than O B. Therefore the common A O being ad- ded , A F , BF are greater than AO , BO . Therefore AC , CB are much ...
Página 20
... and confe- quently much greater than the Angle BFC . There- ( a ) Per19.1.1 . fore in the Triangle BCF , ( a ) BF which is oppofite to the 2 the greater Angle BCF is greater than BC whch is 20 Lib . I. EUCLID'S Elements .
... and confe- quently much greater than the Angle BFC . There- ( a ) Per19.1.1 . fore in the Triangle BCF , ( a ) BF which is oppofite to the 2 the greater Angle BCF is greater than BC whch is 20 Lib . I. EUCLID'S Elements .
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
alfo alſo alſo equal Altitude Arch Archimedes Bafe Baſe becauſe biſected Centre Circum circumfcrib'd Circumference circumſcribed conical Superficies conical Surfaces conſequently Conſtruction contain'd Coroll Corollary Cylinder demonſtrated deſcribe Diameter double drawn thro equal Angles equilateral Cone Euclid EUCLID'S Elements fame Figure firſt fore foregoing four right given Line given right Line greater greatest Circle hath Height Hypothefis infcrib'd inſcribed leſs likewife Line BC manifeſt Mathematicks mean Proportional betwixt meaſure moſt Number oppofite parallel Parallelepiped Parallelogram paſs Pentagon perpendicular Plane Point Polygon Priſm produc'd PROP Propofition Pyramids Radius Rectangle right Angle ſame manner ſay Schol Scholium ſecond ſeeing Segment ſelf Semidiameter ſhall be equal ſhew ſhew'd Sides Solid Sphere ſpherical Surface Square ſtands ſuppos'd themſelves Theorem theſe Thing thoſe unto whatsoever Wherefore whole Superficies whoſe
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Página 211 - Side next to the Diameter : and let the right Lines BH, CG, DF, join the Angles which are equally diftant from A. I fay that the...
Página 221 - Axis, is alfo given j it is manifeft that each of the Segments become known. Now both the foregoing, and all the reft of the Theorems which follow...