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 vii
... shew'd by him that the Sun is greater than Peloponnesus ( a notable Instance of the Infancy of Aftro- nomy at that Time ) ; and that he made fome Conjectures concerning Habitations in the Moon . As for Oenopides , to him Proclus ...
... shew'd by him that the Sun is greater than Peloponnesus ( a notable Instance of the Infancy of Aftro- nomy at that Time ) ; and that he made fome Conjectures concerning Habitations in the Moon . As for Oenopides , to him Proclus ...
Página 30
... BAC is equal to the whole Angle BFC . In the fame manner B and C are shewed to be equal . Which was the first Part . 35 ( d ) Per 27 . 1.1 . Now Now because it hath been already shew'd that the Triangles EUCLID'S Elements . Lib . I.
... BAC is equal to the whole Angle BFC . In the fame manner B and C are shewed to be equal . Which was the first Part . 35 ( d ) Per 27 . 1.1 . Now Now because it hath been already shew'd that the Triangles EUCLID'S Elements . Lib . I.
Página 31
... shew'd that the Triangles Q , R , which have one common Side AF , have also the Angles adjacent to the common Side equal , BAF to CFA ; and CAF , to BFA ; the Sides like- wise shall be equal , AB to FC , and BF to AC ; and thus the ...
... shew'd that the Triangles Q , R , which have one common Side AF , have also the Angles adjacent to the common Side equal , BAF to CFA ; and CAF , to BFA ; the Sides like- wise shall be equal , AB to FC , and BF to AC ; and thus the ...
Página 41
... shew'd him- self to be ignorant of God , the Lord of Sciences , the true and only Author of all Wisdom ; or certainly if he knew him , he glorified him not as God . There is fre- quent and notable Use of this Theorem thro ' all the ...
... shew'd him- self to be ignorant of God , the Lord of Sciences , the true and only Author of all Wisdom ; or certainly if he knew him , he glorified him not as God . There is fre- quent and notable Use of this Theorem thro ' all the ...
Página 59
... shew'd of any other Point of the Line BC . Therefore BC falls wholly within the Circle . The Propofition is also manifest from the very No- tion of a right Line and a Circle . Coroll . Hence it follows , that a right Line touching a ...
... shew'd of any other Point of the Line BC . Therefore BC falls wholly within the Circle . The Propofition is also manifest from the very No- tion of a right Line and a Circle . Coroll . Hence it follows , that a right Line touching a ...
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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...