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 iv
... inscribed their In- ventions upon them , that if the Brick one should happen to be destroy'd by the Deluge , that of Stone , which would remain , might afford Men an Opportunity of being instructed , and present to their View the Things ...
... inscribed their In- ventions upon them , that if the Brick one should happen to be destroy'd by the Deluge , that of Stone , which would remain , might afford Men an Opportunity of being instructed , and present to their View the Things ...
Σελίδα x
... inscribed a Dialogue to his Name , do make him fa- mous . Archytas alfo wrote Elements himself ; and his Doubling of the Cube is menti- oned by Eutocius ; whose singular Com- mendation it likewife was , that he was almost the First that ...
... inscribed a Dialogue to his Name , do make him fa- mous . Archytas alfo wrote Elements himself ; and his Doubling of the Cube is menti- oned by Eutocius ; whose singular Com- mendation it likewife was , that he was almost the First that ...
Σελίδα 72
... inscribed in a Circle ( AB CF ) the opposite Angles make two right ones . Let BF , CA be drawn . The Angle ABC with the ( d ) Per32.1.1 . ( d ) two O and X make two right Angles . But O is ( e / Per21.1.3 . equal to I ( e ) , because it ...
... inscribed in a Circle ( AB CF ) the opposite Angles make two right ones . Let BF , CA be drawn . The Angle ABC with the ( d ) Per32.1.1 . ( d ) two O and X make two right Angles . But O is ( e / Per21.1.3 . equal to I ( e ) , because it ...
Σελίδα 85
... inscribe a right Line ( A ) which is not greater than the Diameter into a Circle ( BD ) . Take in the Circumference any Point B. From the Centre B with the Interval of the given Line A , de- scribe an Arch , cutting the Circle in C ...
... inscribe a right Line ( A ) which is not greater than the Diameter into a Circle ( BD ) . Take in the Circumference any Point B. From the Centre B with the Interval of the given Line A , de- scribe an Arch , cutting the Circle in C ...
Σελίδα 87
... inscribed Circle will be known . Let DC be 12 . DE 18. CE 16. DC and CE will be 28. from which fubtract 18 = DE = DG ... inscribe a Square in a Circlelq 081 gasi . To ni stesood 4000 บ ว 087 G4 The ٠٢ The Demonstration is manifest ...
... inscribed Circle will be known . Let DC be 12 . DE 18. CE 16. DC and CE will be 28. from which fubtract 18 = DE = DG ... inscribe a Square in a Circlelq 081 gasi . To ni stesood 4000 บ ว 087 G4 The ٠٢ The Demonstration is manifest ...
Άλλες εκδόσεις - Προβολή όλων
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 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...