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 iii
... to dedicate themselves ; and that it - may be made manifest against those who flight those Things whereof they are ig- norant , of how great Value and Dignity A 2 this this Knowledge is , which the wisest Men of all Hist of sci.
... to dedicate themselves ; and that it - may be made manifest against those who flight those Things whereof they are ig- norant , of how great Value and Dignity A 2 this this Knowledge is , which the wisest Men of all Hist of sci.
Página 6
... themselves . And that which is greater or leffer than one of the Equals , is also greater or less than the other of ... themselves ; and what things are double , or treble , or quadruple of the fame , are equal amongst themselves ...
... themselves . And that which is greater or leffer than one of the Equals , is also greater or less than the other of ... themselves ; and what things are double , or treble , or quadruple of the fame , are equal amongst themselves ...
Página 7
... themselves . Sides of the Triangle are equal . ( d ) ACB is both Equilateral , and made upon the ( d ) Per given Line AB ; which was the thing to be done . Def . 25 . And therefore all the ( c ) Per Therefore the Triangle Axiom 1 . REF ...
... themselves . Sides of the Triangle are equal . ( d ) ACB is both Equilateral , and made upon the ( d ) Per given Line AB ; which was the thing to be done . Def . 25 . And therefore all the ( c ) Per Therefore the Triangle Axiom 1 . REF ...
Página 10
... themselves will be equal . For the Side FI laid upon the Side BC will agree , or thorowly concide with it ( a ) . And then because the Angles B and C are equal to those F and I , when the Side FI is laid upon the Side BC : FL ( 1 ) will ...
... themselves will be equal . For the Side FI laid upon the Side BC will agree , or thorowly concide with it ( a ) . And then because the Angles B and C are equal to those F and I , when the Side FI is laid upon the Side BC : FL ( 1 ) will ...
Página 22
... themselves , they shall therefore ( a ) intercept equal Parts of the Parallels , and R L shall be equal to QO . Therefore the Triangles X and Z are ( b ) Per 8.1.1 . equilateral to one another . Therefore ( b ) the alternate Angles RLO ...
... themselves , they shall therefore ( a ) intercept equal Parts of the Parallels , and R L shall be equal to QO . Therefore the Triangles X and Z are ( b ) Per 8.1.1 . equilateral to one another . Therefore ( b ) the alternate Angles RLO ...
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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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