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 xiii
... Spherical Triangles . Three most useful Books of Sphericks of Theodofi us the Tripolite are alfo in the Hands of all . And these indeed , if you except Me- nelaus , lived all of them before Christ . + 70 , there ap- In the Year after ...
... Spherical Triangles . Three most useful Books of Sphericks of Theodofi us the Tripolite are alfo in the Hands of all . And these indeed , if you except Me- nelaus , lived all of them before Christ . + 70 , there ap- In the Year after ...
Side 17
... spherical Surface . I PRO P. XX . Theorem . N any Triangle , any two Sides of it taken together , are greater than the remaining Side . This with Archimedes is as it were an Axiom ; for- afmuch as it is immediately manifeft out of his ...
... spherical Surface . I PRO P. XX . Theorem . N any Triangle , any two Sides of it taken together , are greater than the remaining Side . This with Archimedes is as it were an Axiom ; for- afmuch as it is immediately manifeft out of his ...
Side 140
... Spherical Doctrine of Theodofius , Spherical Trigonometry alfo , a great Part of practical Geometry , Staticks , and Geography , depend upon it ; and what Things occur of any great Difficulty in the Art 4 1 Art of Dialling , in the ...
... Spherical Doctrine of Theodofius , Spherical Trigonometry alfo , a great Part of practical Geometry , Staticks , and Geography , depend upon it ; and what Things occur of any great Difficulty in the Art 4 1 Art of Dialling , in the ...
Side 189
... Spherical Portion EBG is the Extremity B of the unmov'd Diameter ; the Bafis , the Circle defcrib'd by E G ; the Axis , that Part of the Diameter BD , which is intercepted betwixt the Top B , and D the Centre of the Base . 4. When I ...
... Spherical Portion EBG is the Extremity B of the unmov'd Diameter ; the Bafis , the Circle defcrib'd by E G ; the Axis , that Part of the Diameter BD , which is intercepted betwixt the Top B , and D the Centre of the Base . 4. When I ...
Side 190
... Spherical Portion ( DAF ) . 5. The Superficies of a Prifm inscrib'd in a Cylinder is less than the Superficies of the Cylinder ; but the Su- perficies of the Prifm which is circumfcrib'd is greater . 6. And the Superficies of a Pyramid ...
... Spherical Portion ( DAF ) . 5. The Superficies of a Prifm inscrib'd in a Cylinder is less than the Superficies of the Cylinder ; but the Su- perficies of the Prifm which is circumfcrib'd is greater . 6. And the Superficies of a Pyramid ...
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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...