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 vii
... regular Bodies . The fame Perfon did both moft diligently teach and exercife the Art of Aftrology and Mufick : For he did not on- ly acutely and fubtily find out many Things himself , but he alfo firft opened a School , in which Youth ...
... regular Bodies . The fame Perfon did both moft diligently teach and exercife the Art of Aftrology and Mufick : For he did not on- ly acutely and fubtily find out many Things himself , but he alfo firft opened a School , in which Youth ...
Seite x
... regular Bodies ; and Plato's Encomiums , who also infcribed 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 ; whofe fingular Com- mendation ...
... regular Bodies ; and Plato's Encomiums , who also infcribed 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 ; whofe fingular Com- mendation ...
Seite 84
... regular efpecially , may be in- scribed in , and circumfcribed about , Circles . There is very great Ufe of it in building Fortifications S .; and from it as a Fountain have been derived thofe moft excellent Tables of Sines , Tangents ...
... regular efpecially , may be in- scribed in , and circumfcribed about , Circles . There is very great Ufe of it in building Fortifications S .; and from it as a Fountain have been derived thofe moft excellent Tables of Sines , Tangents ...
Seite 85
... regular Figure is that which is equi- lateral and equiangular . PROPOSITION I. Problem . O infcribe a right Line ( A ) which is not greater Fig . 1. 1.4 . than the Diameter into a Circle ( BD ) . To Take in the Circumference any Point B ...
... regular Figure is that which is equi- lateral and equiangular . PROPOSITION I. Problem . O infcribe a right Line ( A ) which is not greater Fig . 1. 1.4 . than the Diameter into a Circle ( BD ) . To Take in the Circumference any Point B ...
Seite 90
... regular Pentagon in a Circle . T ° Let there be defcribed ( a ) the Triangle BA C , hav- ioregoing . ing the Angles at the Bafe double to that at the Top . Infcribe a Triangle C A D equiangled to this , in a Circle ( b ) Per 2.1.4 . ( b ) ...
... regular Pentagon in a Circle . T ° Let there be defcribed ( a ) the Triangle BA C , hav- ioregoing . ing the Angles at the Bafe double to that at the Top . Infcribe a Triangle C A D equiangled to this , in a Circle ( b ) Per 2.1.4 . ( b ) ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
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...