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 xviii
... foregoing Conjectures . VIII . Such Inferences fhewn to be the common Voice of Nature and Reafon , from the Testimonies of the most confiderable Perfons in all Ages . IX . A Recapitulation of the Whole ; with a large and ferious Addrefs ...
... foregoing Conjectures . VIII . Such Inferences fhewn to be the common Voice of Nature and Reafon , from the Testimonies of the most confiderable Perfons in all Ages . IX . A Recapitulation of the Whole ; with a large and ferious Addrefs ...
Σελίδα 23
... foregoing . Hypothefis A LO is equal to FOL . PROP . XXIX . Theorem . IF a right Line GO cutting two right Lines ( A B , Fig . 45 , & CF ) hall make the external Angle ( GLB ) equal 46 . to the internal oppofite one ( LO F ) , or shall ...
... foregoing . Hypothefis A LO is equal to FOL . PROP . XXIX . Theorem . IF a right Line GO cutting two right Lines ( A B , Fig . 45 , & CF ) hall make the external Angle ( GLB ) equal 46 . to the internal oppofite one ( LO F ) , or shall ...
Σελίδα 24
... foregoing . Fig . 48 . ( d ) Per 22 . 1. I. Fig . 49 . Coroll . From the Second Part of this Propofition it appears that every Rectangle is a Parallelogram.- PROP . XXX . Theorem . F two right Lines ( AB , C F ) be parallel to the ...
... foregoing . Fig . 48 . ( d ) Per 22 . 1. I. Fig . 49 . Coroll . From the Second Part of this Propofition it appears that every Rectangle is a Parallelogram.- PROP . XXX . Theorem . F two right Lines ( AB , C F ) be parallel to the ...
Σελίδα 33
... foregoing Scholium . Riangles ( ACB , ALB ) upon the fame or equalFig . 63 . Bafes ( AB ) , and between the fame Parallels , ( CI , AZ ) are equal .. Draw the Lines BL , BI parallel to the Sides A C , AL . The Parallelograms ACFB , ALIB ...
... foregoing Scholium . Riangles ( ACB , ALB ) upon the fame or equalFig . 63 . Bafes ( AB ) , and between the fame Parallels , ( CI , AZ ) are equal .. Draw the Lines BL , BI parallel to the Sides A C , AL . The Parallelograms ACFB , ALIB ...
Σελίδα 35
... foregoing ALB and AFB are equal ; i.e. a Part is equal to the whole . Which cannot be . Therefore , & c . [ Corol . ( 1. ) Hence alfo , with the famous Sir Ifaac Newton , we gather , that all Bodies which are moved in Curve Lines , and ...
... foregoing ALB and AFB are equal ; i.e. a Part is equal to the whole . Which cannot be . Therefore , & c . [ Corol . ( 1. ) Hence alfo , with the famous Sir Ifaac Newton , we gather , that all Bodies which are moved in Curve Lines , and ...
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 alfo equal alſo Altitude Arch Archimedes Axis Bafe Baſe becauſe betwixt themſelves bifected Centre Circum circumfcrib'd Circumference confequently Conftruction conical Superficies conical Surfaces contain'd Coroll Corollary Cylinder defcrib'd defcribe demonftrated Diameter double drawn thro equal Angles equilateral Cone equilateral Triangle Euclid faid fame manner fcrib'd fecond felf fhall be equal fhew fhew'd Figure firft firſt folid Angle fome fore foregoing four right ftand fuppos'd given right Line greater hath Height Hypothefis infcrib'd infcribed Interfections leffer lefs likewife Line BC manifeft Mathematicks mean Proportional betwixt Meaſure Number oppofite pafs thro parallel Parallelepiped Parallelogram Pentagon perpendicular Plane Point Polygon Prifm Priſms Proclus produc'd PROP Propofition Pyramids Radius Rectangle right Angle right Line Scholium Segment Semidiameter Solid Sphere Square thefe Theorem theſe Thing thofe unto whatſoever whofe whole Superficies
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...