The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 Seiten |
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Seite i
... Whole abridg'd , and Publifh'd in English , By WILLIAM WHISTON , M. A. Mr. Lucas's Profeffor of the Mathematicks in the University of Cambridge . The THIRD EDITION , Ug ps ELEVENT LONDON : Printed for J. SENEX in Fleetftreet , W. and J ...
... Whole abridg'd , and Publifh'd in English , By WILLIAM WHISTON , M. A. Mr. Lucas's Profeffor of the Mathematicks in the University of Cambridge . The THIRD EDITION , Ug ps ELEVENT LONDON : Printed for J. SENEX in Fleetftreet , W. and J ...
Seite iv
... whole firft Book of his Inftitution , which is not a little one , hath out of Proclus , Laertius , Gellius , Polybius , Tzetzes , and others , compofed a Mathematical History both accurately and copiously . one The Mathematical Sciences ...
... whole firft Book of his Inftitution , which is not a little one , hath out of Proclus , Laertius , Gellius , Polybius , Tzetzes , and others , compofed a Mathematical History both accurately and copiously . one The Mathematical Sciences ...
Seite vi
... whole Method of Philofophizing was taken from Numbers . And he firft of all , as Laertius relates , abftracted Geo- metry from Matter ; in which Elevation of the Mind , be found out the 32d , 44th , 47th , and 48th Propofitions of the ...
... whole Method of Philofophizing was taken from Numbers . And he firft of all , as Laertius relates , abftracted Geo- metry from Matter ; in which Elevation of the Mind , be found out the 32d , 44th , 47th , and 48th Propofitions of the ...
Seite xi
... whole fifth Book . likewife wrote Elements , and made them more general , and increased the Sections begun by Plato ; over and above this he was the first Framer of Aftronomical Hy- pothefes , and derived down the Springs of Geometry ...
... whole fifth Book . likewife wrote Elements , and made them more general , and increased the Sections begun by Plato ; over and above this he was the first Framer of Aftronomical Hy- pothefes , and derived down the Springs of Geometry ...
Seite xii
... whole Mathematical Sciences . His wonderful In- ventions have been delivered to us by Po- lybius , Plutarch , Tzetzes , and others . Conon was Contemporary to Archimedes , one one who was both a Geometrician and an Aftronomer , ( xii )
... whole Mathematical Sciences . His wonderful In- ventions have been delivered to us by Po- lybius , Plutarch , Tzetzes , and others . Conon was Contemporary to Archimedes , one one who was both a Geometrician and an Aftronomer , ( xii )
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Keine Leseprobe verfügbar - 2015 |
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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
Beliebte Passagen
Seite 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.
Seite 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.
Seite xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Seite 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.
Seite 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.
Seite 11 - Because the angle A is equal to the angle C, and the angle...
Seite xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Seite 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.
Seite 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...
Seite 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...