The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 sider |
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Side iv
... hath out of Proclus , Laertius , Gellius , Polybius , Tzetzes , and others , compofed a Mathematical History both accurately and copiously . one The Mathematical Sciences were the first of all other amongst Men , if we may believe ...
... hath out of Proclus , Laertius , Gellius , Polybius , Tzetzes , and others , compofed a Mathematical History both accurately and copiously . one The Mathematical Sciences were the first of all other amongst Men , if we may believe ...
Side viii
... hath been re- ftored by Peter Gaffendus , in a very Learn- ed Work lately publish'd . Theodorus Cy- renæus , altho ' none of his Mathematical Inventions are extant , yet is great upon this Account , if there were no other , that he is ...
... hath been re- ftored by Peter Gaffendus , in a very Learn- ed Work lately publish'd . Theodorus Cy- renæus , altho ' none of his Mathematical Inventions are extant , yet is great upon this Account , if there were no other , that he is ...
Side xii
... hath made a Book . Two of Arif totle's School are especially celebrated , Eu- demus and Theophraftus : This latter wrote two Books of Numbers , four of Geometry , and one of indivifible Lines : The other , compofed a Mathematical ...
... hath made a Book . Two of Arif totle's School are especially celebrated , Eu- demus and Theophraftus : This latter wrote two Books of Numbers , four of Geometry , and one of indivifible Lines : The other , compofed a Mathematical ...
Side 1
... hath Length only , and wants all Breadth ; forafmuch as it is understood to be produced from the flowing of a Point . 3. Points are the Terms of a Line . 4. A right Line , is that which lies evenly betwixt its Fig . 1 . Terms . Or as ...
... hath Length only , and wants all Breadth ; forafmuch as it is understood to be produced from the flowing of a Point . 3. Points are the Terms of a Line . 4. A right Line , is that which lies evenly betwixt its Fig . 1 . Terms . Or as ...
Side 2
... hath only Lengt . and Breadth . It hath two Dimenfions therefore : And is understood to be produc'd by the flowing of a Line . 6. Lines are the Extremes of a Surface . 7. A Plane , or a plain Surface , is that which lies even- ly ...
... hath only Lengt . and Breadth . It hath two Dimenfions therefore : And is understood to be produc'd by the flowing of a Line . 6. Lines are the Extremes of a Surface . 7. A Plane , or a plain Surface , is that which lies even- ly ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Side 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.
Side 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.
Side 11 - Because the angle A is equal to the angle C, and the angle...
Side xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Side 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.
Side 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...
Side 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...