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 9
... to AFC , is the Angle of the Reflexion of the Ball A , and that the Ball tending towards Eis in the Point F fo re- flected as to hit the Ball B. Q. E. D. Scholium Fig . 25 . ( a ) Per Axi . Lib . I. 10 EUCLID'S Elements .
... to AFC , is the Angle of the Reflexion of the Ball A , and that the Ball tending towards Eis in the Point F fo re- flected as to hit the Ball B. Q. E. D. Scholium Fig . 25 . ( a ) Per Axi . Lib . I. 10 EUCLID'S Elements .
Σελίδα 10
... Scholium or Obfervation . BY much the fame way of Reasoning whereby this 4th Propofition has been demonstrated , the follow- ing Theorem , which we shall have occafion to use by and by , may be demonstrated also . If in Two Triangles X ...
... Scholium or Obfervation . BY much the fame way of Reasoning whereby this 4th Propofition has been demonstrated , the follow- ing Theorem , which we shall have occafion to use by and by , may be demonstrated also . If in Two Triangles X ...
Σελίδα 12
... Scholium , No one hath hitherto taught the way of dividing An- ⚫gles into all equal Parts whatsoever with a Pair of Compasses , and a Rule . Fig . 30 . Yet may you divide any given Angle mechanically into any equal Parts whatsoever ...
... Scholium , No one hath hitherto taught the way of dividing An- ⚫gles into all equal Parts whatsoever with a Pair of Compasses , and a Rule . Fig . 30 . Yet may you divide any given Angle mechanically into any equal Parts whatsoever ...
Σελίδα 19
... Scholium . IT seems meet for the Sake of beginners to propound some things here which are necessary for Practice a- bout Angles . í The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the ...
... Scholium . IT seems meet for the Sake of beginners to propound some things here which are necessary for Practice a- bout Angles . í The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the ...
Σελίδα 21
... Scholium of Propofition 4 . Again , suppose the Sides AC , LI which are op- posed to the equal Angles to be equal . Here because the Angles ( B , C ) are by the Hypothesis equal to ( F , I ) the other Angles , also ( A , L ) shall be ...
... Scholium of Propofition 4 . Again , suppose the Sides AC , LI which are op- posed to the equal Angles to be equal . Here because the Angles ( B , C ) are by the Hypothesis equal to ( F , I ) the other Angles , also ( A , L ) shall be ...
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.
Σελίδα xviii - A Scheme of the Solar Syftem, with the orbits of the planets and comets belonging thereto, defcribed from Dr. Halley's accurate Table of Comets, Philofoph.
Σελίδα xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Σελίδα xviii - Syllem briefly demonftrated. IV. Certain Obfervations drawn from that Syftem. V. Probable Conjectures of the Nature and Ufes of the feveral celeftial Bodies contain'd in the fame Syflem.
Σελίδα xviii - DHcovery of divine Truth, and of the degree of Evidence that ought to be expected in divine Matters. By William WbiftvK, MA Ibmetime Profeffor of the Mathematicks in the Univerfity of Cambridge.
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...