The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página 83
... demonstrated by me fome- what more briefly . Thro ' the two Points ( B ) and ( C ) in a given Circle ( BDM ) to draw the Circumference of a Circle which fball bifect the Circumference of the other given Circle . Thro ' the Centre A ...
... demonstrated by me fome- what more briefly . Thro ' the two Points ( B ) and ( C ) in a given Circle ( BDM ) to draw the Circumference of a Circle which fball bifect the Circumference of the other given Circle . Thro ' the Centre A ...
Página 181
... demonstrated , that Cy- linders infcrib'd in a Cone , Conoid , Spheroid , c . do at laft end in the fame . PROP . XVIII . Theorem . 181 HE Proportion of Spheres is triplicate to the Pro- Fig . 27 . portion of their Diameters ( B K , R Z ) ...
... demonstrated , that Cy- linders infcrib'd in a Cone , Conoid , Spheroid , c . do at laft end in the fame . PROP . XVIII . Theorem . 181 HE Proportion of Spheres is triplicate to the Pro- Fig . 27 . portion of their Diameters ( B K , R Z ) ...
Página 219
... is another of the more noble Inventions of Ar- chimedes , which , as the former , we have demonstrated in a much shorter and clearer Way than he did . PROP . Fig . 18 . TH PROP . XXVI . Theorem ARCHIMEDES's Theorems . 219.
... is another of the more noble Inventions of Ar- chimedes , which , as the former , we have demonstrated in a much shorter and clearer Way than he did . PROP . Fig . 18 . TH PROP . XXVI . Theorem ARCHIMEDES's Theorems . 219.
Página
... demonstrated pr . 39. Wherefore seeing the Proportion of the Cone BKC to the Cone FKI is ( by Schol . 2. pr . 15. l . 12. ) compounded of the Proportion of the Altitude PK to the Altitude AK ( that is , of the Proportion of 9 to 6 ) and ...
... demonstrated pr . 39. Wherefore seeing the Proportion of the Cone BKC to the Cone FKI is ( by Schol . 2. pr . 15. l . 12. ) compounded of the Proportion of the Altitude PK to the Altitude AK ( that is , of the Proportion of 9 to 6 ) and ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
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
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