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 viii
... also in the Mathematicks . His Phyfical Monuments , and , if fuch there were , his Mathematical Works alfo , are wholly loft , thro ' the Envy ( as some report ) of Ariftotle , who defired to have no other Writings read but his own ...
... also in the Mathematicks . His Phyfical Monuments , and , if fuch there were , his Mathematical Works alfo , are wholly loft , thro ' the Envy ( as some report ) of Ariftotle , who defired to have no other Writings read but his own ...
Side x
... 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 it likewife was , that he was almost the First ...
... 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 it likewife was , that he was almost the First ...
Side xiv
... also an Alexandri- an , was as great in Arithmetick as Archi- medes , Apollonius , or Euclid in Geometry ; he was certainly a Master of all Subtilty relating to Numbers : by him was found out that admirable Art , which we call Al- gebra ...
... also an Alexandri- an , was as great in Arithmetick as Archi- medes , Apollonius , or Euclid in Geometry ; he was certainly a Master of all Subtilty relating to Numbers : by him was found out that admirable Art , which we call Al- gebra ...
Side 9
... also in another way mea - Fig . 78 . Sure the Line AB , altho otherwise impracticable by rea- fon of fome Obftacle , as a River , & c . between the Extre- mities thereof . For from any Point whatsoever , as the Point C , let the Angle ...
... also in another way mea - Fig . 78 . Sure the Line AB , altho otherwise impracticable by rea- fon of fome Obftacle , as a River , & c . between the Extre- mities thereof . For from any Point whatsoever , as the Point C , let the Angle ...
Side 10
... P. VI . Theorem . F in a Triangle ( ABC ) Two Angles ( A and C ) be equal , the Sides ( AB , BC ) which are oppo- Jite to thofe Angles are equal also . Let Let the Triangle ABC be fuppofed to be twice put ΤΟ Lib . I. EUCLID'S Elements .
... P. VI . Theorem . F in a Triangle ( ABC ) Two Angles ( A and C ) be equal , the Sides ( AB , BC ) which are oppo- Jite to thofe Angles are equal also . Let Let the Triangle ABC be fuppofed to be twice put ΤΟ Lib . I. EUCLID'S Elements .
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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...