The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
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Σελίδα 142
... Prism is a solid Figure , comprehended by Planes ; amongst which two opposite ones ( OFE , ACB ) are parallel , equal and like . Fig . 8 . 13. A Parallelepiped is a Solid contain'd under qua- drilateral Planes , of which the Oppofites ...
... Prism is a solid Figure , comprehended by Planes ; amongst which two opposite ones ( OFE , ACB ) are parallel , equal and like . Fig . 8 . 13. A Parallelepiped is a Solid contain'd under qua- drilateral Planes , of which the Oppofites ...
Σελίδα 155
... Prism what - Fig . 30 ever be cut by a Plane ( NP ) that is parallel to the oppofite Sides ; there will be this ... Prisms , 1.1 . is thus shew'd . Let the Prism AEGCDH be under- ftood 1 stood to be so constituted upon its Plane ...
... Prism what - Fig . 30 ever be cut by a Plane ( NP ) that is parallel to the oppofite Sides ; there will be this ... Prisms , 1.1 . is thus shew'd . Let the Prism AEGCDH be under- ftood 1 stood to be so constituted upon its Plane ...
Σελίδα 156
... Prism AEGCDH coincides with the Prism ACGEF B. and confequently they are equal ( by Axiom 7. ) 1. 1 . Fig : 31 ... Prisms CMOLIK , and AEBHFG , being laid upon each other will coincide , and confequently are equal . Wherefore the ...
... Prism AEGCDH coincides with the Prism ACGEF B. and confequently they are equal ( by Axiom 7. ) 1. 1 . Fig : 31 ... Prisms CMOLIK , and AEBHFG , being laid upon each other will coincide , and confequently are equal . Wherefore the ...
Σελίδα 158
... Prisms whatever , in Coroll . 1 . after Prop . 9. Of Cones and Cylinders , Prop . 11 . L PROP . XXXIII . Theorem . IKE Parallelepipeds ( HA and CM ) are in a triplicate Proportion of their homologous Sides ( AB , BC ) . Let the ...
... Prisms whatever , in Coroll . 1 . after Prop . 9. Of Cones and Cylinders , Prop . 11 . L PROP . XXXIII . Theorem . IKE Parallelepipeds ( HA and CM ) are in a triplicate Proportion of their homologous Sides ( AB , BC ) . Let the ...
Σελίδα 160
... Prisms whatsoever , Coroll . 2. Prop . 9 . Of Cones and Cylinders , Prop . 12. Of Spheres , Prop . 18 . I PROP . XXXIV . Theorem . their F the Parallelepipeds ( BM , CK ) be equal , Bases and Altitudes are reciprocally proportional ...
... Prisms whatsoever , Coroll . 2. Prop . 9 . Of Cones and Cylinders , Prop . 12. Of Spheres , Prop . 18 . I PROP . XXXIV . Theorem . their F the Parallelepipeds ( BM , CK ) be equal , Bases and Altitudes are reciprocally proportional ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
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Σελίδα xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
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Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
Σελίδα xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Σελίδα xix - How great a Geometrician art thou, O Lord! For while this Science has no Bounds, while there is for ever room for the Discovery of New Theorems, even by Human Faculties; Thou art acquainted with them all at one View, without any Chain of Consequences, without any Fatigue of Demonstrations.
Σελίδα 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...
Σελίδα 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...