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 1
... drawn betwixt two Points . Or as Plato hath it : A right Line is that whose Ex- tremes hide all the reft ; [ that is , when the Eye is placed in a Continuation of the Line . ] The Senfe is the fame in all . The Inftrument whereby right ...
... drawn betwixt two Points . Or as Plato hath it : A right Line is that whose Ex- tremes hide all the reft ; [ that is , when the Eye is placed in a Continuation of the Line . ] The Senfe is the fame in all . The Inftrument whereby right ...
Seite 3
... draw forth a Side , as ( BA ) . Two Rules fo joined as to contain a right Angle , make an Inftrument , which is ... drawn unto one certain Point , within the contained Space ( A ) , are equal . 19. That Point is called the Center . В 2 ...
... draw forth a Side , as ( BA ) . Two Rules fo joined as to contain a right Angle , make an Inftrument , which is ... drawn unto one certain Point , within the contained Space ( A ) , are equal . 19. That Point is called the Center . В 2 ...
Seite 4
... drawn thro ' the Center , and on both Sides terminated at the Circum- ference ; and confequently it divides the Circle into two equal Parts , ( as is abundantly manifest from the exa & t A- greement of two Semicircles when laid one upon ...
... drawn thro ' the Center , and on both Sides terminated at the Circum- ference ; and confequently it divides the Circle into two equal Parts , ( as is abundantly manifest from the exa & t A- greement of two Semicircles when laid one upon ...
Seite 5
... drawn out on both Sides infinitely , are diftant from one another by equal Inter- vals . The Intervals are faid to be ... Draw forth a finite right Line in Length ftill far- ther . 3. From any Center at any Interval describe a Circle . B ...
... drawn out on both Sides infinitely , are diftant from one another by equal Inter- vals . The Intervals are faid to be ... Draw forth a finite right Line in Length ftill far- ther . 3. From any Center at any Interval describe a Circle . B ...
Seite 7
... draw the right Lines CA , CB . I fay , that the Triangle A CB now made , is Equilate- ral . For the right Line AC is equal to the right ( b ) ( b ) Per Line A B , feeing they are Semi - diameters of the fame Def . 18 . Circle FCB . And ...
... draw the right Lines CA , CB . I fay , that the Triangle A CB now made , is Equilate- ral . For the right Line AC is equal to the right ( b ) ( b ) Per Line A B , feeing they are Semi - diameters of the fame Def . 18 . Circle FCB . And ...
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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...