The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
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Σελίδα 1
... 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 Lines are described , is [ called ] a Rule ; which whe- ther it be ...
... 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 Lines are described , is [ called ] a Rule ; which whe- ther it be ...
Σελίδα 55
... whose three Sides are known , altho the Area be altogether inacceffible . For by the help of these Theorems , the Perpendicular is known , albeit the Im- pediments of the Place fhould not permit us to mark it out . But note , That the ...
... whose three Sides are known , altho the Area be altogether inacceffible . For by the help of these Theorems , the Perpendicular is known , albeit the Im- pediments of the Place fhould not permit us to mark it out . But note , That the ...
Σελίδα 218
... whose Radius is a Mean betwixt A E and E B , will at length end ( by 22. of this ) in the Circle whofe Radius is AE ; the fpherical Surface it felf alfo will be equal to the Circle of the Radius A E , that is , ( by the forego- ing ...
... whose Radius is a Mean betwixt A E and E B , will at length end ( by 22. of this ) in the Circle whofe Radius is AE ; the fpherical Surface it felf alfo will be equal to the Circle of the Radius A E , that is , ( by the forego- ing ...
Σελίδα 219
... whose Radius is a Mean betwixt E B and AO ends ( by 23. ) in the Circle of the Radius AD ; the fpherical Surface of the Portion alfo DAF will be equal to the Circle of the Radius AD . Q. E.D. This is another of the more noble Inventions ...
... whose Radius is a Mean betwixt E B and AO ends ( by 23. ) in the Circle of the Radius AD ; the fpherical Surface of the Portion alfo DAF will be equal to the Circle of the Radius AD . Q. E.D. This is another of the more noble Inventions ...
Σελίδα 222
... whose Alti- tude ( KO ) is equal to the Radius of the Sphere ; and the Bafe ( Z ) equal to the Superficies of the Sphere . Let fome Polyedral Body be underflood to be circum- fcribed about the Sphere , and let the folid Angles there- of ...
... whose Alti- tude ( KO ) is equal to the Radius of the Sphere ; and the Bafe ( Z ) equal to the Superficies of the Sphere . Let fome Polyedral Body be underflood to be circum- fcribed about the Sphere , and let the folid Angles there- of ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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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Σελίδα 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...
Σελίδα 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...