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 16
... Hypothesis , as is also in the like manner BDE equal Per 4.1.1.to the Angle CDE ; the Triangles shall be * equal in all other things , and BE shall be equal to CE , and the Angle BED to the Angle DEC : ( where because the Angle DEC is ...
... Hypothesis , as is also in the like manner BDE equal Per 4.1.1.to the Angle CDE ; the Triangles shall be * equal in all other things , and BE shall be equal to CE , and the Angle BED to the Angle DEC : ( where because the Angle DEC is ...
Página 21
... Hypothesis equal to ( F , I ) the other Angles , also ( A , L ) shall be equal by Coroll . 9. Prop . 32. which Propofition depends not upon this . Therefore by the firit Part of this all the other Parts are equal . Coroll . Hence also ...
... Hypothesis equal to ( F , I ) the other Angles , also ( A , L ) shall be equal by Coroll . 9. Prop . 32. which Propofition depends not upon this . Therefore by the firit Part of this all the other Parts are equal . Coroll . Hence also ...
Página 114
... Hypothesis , AB is to RF , as AC to RQ . Therefore AB is to RF , as the same ABis to RN . Therefore RN , RF are equal . In the like manner I might shew that QN and QF are equal . Therefore the Triangles T , S , are equilateral to each o ...
... Hypothesis , AB is to RF , as AC to RQ . Therefore AB is to RF , as the same ABis to RN . Therefore RN , RF are equal . In the like manner I might shew that QN and QF are equal . Therefore the Triangles T , S , are equilateral to each o ...
Página 144
... Hypothesis R A stands perpendicularly upon the two CA , FA , it will be perpendicular to the Plane LQ ( by the foregoing ) . Therefore RA makes a right Angle with AO ( by Defin . 3. 1. 11. ) But also by the Hypo- thefis RAB is a right ...
... Hypothesis R A stands perpendicularly upon the two CA , FA , it will be perpendicular to the Plane LQ ( by the foregoing ) . Therefore RA makes a right Angle with AO ( by Defin . 3. 1. 11. ) But also by the Hypo- thefis RAB is a right ...
Página 194
... Hypothesis is equal to the Circumference of the Circle , and which bath for its Altitude the Perpendicular FO , let down from the Cen- tre of the Circle unto the Side of the Polygon , which fince it is always less than the Radius of the ...
... Hypothesis is equal to the Circumference of the Circle , and which bath for its Altitude the Perpendicular FO , let down from the Cen- tre of the Circle unto the Side of the Polygon , which fince it is always less than the Radius of the ...
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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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