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 99
... Superficies . Which is thus demonftrated . That fome regular Figure often repeated fhould be able to fill a Space ; it is re- quired that the Angles of many Figures of that kind be- ing difpofed about one Point , fhould make just four ...
... Superficies . Which is thus demonftrated . That fome regular Figure often repeated fhould be able to fill a Space ; it is re- quired that the Angles of many Figures of that kind be- ing difpofed about one Point , fhould make just four ...
Seite 189
... Superficies of a Spherical Por - ` tion , or of a Body infcrib'd in it , or of a Cone , I al- ways understand it without the Base ; and when I fay the Superficies of a Cylinder , I mean likewife without the Bafes ; unless the Word ...
... Superficies of a Spherical Por - ` tion , or of a Body infcrib'd in it , or of a Cone , I al- ways understand it without the Base ; and when I fay the Superficies of a Cylinder , I mean likewife without the Bafes ; unless the Word ...
Seite 190
... Superficies of the Body produc'd by the Polygon , will be lefs than the Superficies of the Sphere . And if a Polygon circumfcrib'd about a Circle , be turn'd about the Diameter , together with the Circle , the Superficies of the Body ...
... Superficies of the Body produc'd by the Polygon , will be lefs than the Superficies of the Sphere . And if a Polygon circumfcrib'd about a Circle , be turn'd about the Diameter , together with the Circle , the Superficies of the Body ...
Seite 199
... Superficies of a Prifm , as well that which is circumfcrib'd about , as that which is inscrib'd in a Cylinder , is equal to a Rectangle whofe Height is the Side of the Cylinder , but its Bafe equal to the Cir- cuit of the Bafe of the ...
... Superficies of a Prifm , as well that which is circumfcrib'd about , as that which is inscrib'd in a Cylinder , is equal to a Rectangle whofe Height is the Side of the Cylinder , but its Bafe equal to the Cir- cuit of the Bafe of the ...
Seite 200
... Superficies of the infcribed Prism . T PROP . IX . Theorem . HE Superficies of a regular Pyramid circumfcrib'd about a right Cone , is equal to a Triangle , which hath for its Bafe the Circumference ( FHLD ) of the pyramidal Bafe , but ...
... Superficies of the infcribed Prism . T PROP . IX . Theorem . HE Superficies of a regular Pyramid circumfcrib'd about a right Cone , is equal to a Triangle , which hath for its Bafe the Circumference ( FHLD ) of the pyramidal Bafe , but ...
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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...