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 vii
... 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 ascribes the 12 and 23. 1. 1. Thefe ...
... 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 ascribes the 12 and 23. 1. 1. Thefe ...
Σελίδα 3
... Greater , whose Side falls without . So the Angle BAE is greater than the Angle BAC . Fig . 5 An Angle is not diminish'd or increas'd by the Dimi- nution or Augmentation of the Sides that include it . 13. A right - lin'd Angle is that ...
... Greater , whose Side falls without . So the Angle BAE is greater than the Angle BAC . Fig . 5 An Angle is not diminish'd or increas'd by the Dimi- nution or Augmentation of the Sides that include it . 13. A right - lin'd Angle is that ...
Σελίδα 8
... greater of them GH to cut off GI equal to the less EF . Take with a Pair of Compaffes the Interval of the lesser given Line EF , and transfer it unto the greater from G to I. I PROP . IV . Theorem . F in two Triangles ( X , Z ) one fide ...
... greater of them GH to cut off GI equal to the less EF . Take with a Pair of Compaffes the Interval of the lesser given Line EF , and transfer it unto the greater from G to I. I PROP . IV . Theorem . F in two Triangles ( X , Z ) one fide ...
Σελίδα 16
... greater Side ( BO ) is the greater ; and that ( B ) which is opposite to the lesser Side ( AO ) is the leffer Angle . ( A ) Cannot be equal to ( B ) for then the oppofite ( 2 ) Per 6.1.1 . Sides BO , A O would be equal ( a ) ; which ...
... greater Side ( BO ) is the greater ; and that ( B ) which is opposite to the lesser Side ( AO ) is the leffer Angle . ( A ) Cannot be equal to ( B ) for then the oppofite ( 2 ) Per 6.1.1 . Sides BO , A O would be equal ( a ) ; which ...
Σελίδα 17
... greater . 2. E. D. PROP . XIX . Theorem . N the Triangle AO B the Side ( BO ) which is op- Fig . 38 . the greater Angle ( A ) is the greater ; And that ( AO ) which is opposed to the lesser Angle B , is the leffer . : This Propofition ...
... greater . 2. E. D. PROP . XIX . Theorem . N the Triangle AO B the Side ( BO ) which is op- Fig . 38 . the greater Angle ( A ) is the greater ; And that ( AO ) which is opposed to the lesser Angle B , is the leffer . : This Propofition ...
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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.
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...