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 4
... Radius is the right Line A F drawn from the Center to the Circumference . Fig . 10 . Fig . 10 . Fig . 11 , 12 . Fig . 13 . Fig . 13 . Fig . 12 . 22. A Semi circle is a Figure ( BLC ) which is con- tain'd by the Diameter BC , and half ...
... Radius is the right Line A F drawn from the Center to the Circumference . Fig . 10 . Fig . 10 . Fig . 11 , 12 . Fig . 13 . Fig . 13 . Fig . 12 . 22. A Semi circle is a Figure ( BLC ) which is con- tain'd by the Diameter BC , and half ...
Σελίδα 20
... Radius of the Semicircle P L upon the Side of the Angle PQ ; and the Arch LO which is intercepted betwixt the Legs of the Angle will shew of how many Degrees the given Angle is . 3. To frame an Angle containing a given Number of Degrees ...
... Radius of the Semicircle P L upon the Side of the Angle PQ ; and the Arch LO which is intercepted betwixt the Legs of the Angle will shew of how many Degrees the given Angle is . 3. To frame an Angle containing a given Number of Degrees ...
Σελίδα 71
... Radius : So is ZO , the Moon's Distance , unto Z E the Distance of the Sun. Q.E.I. ] T PROP . XXI . Theorem . HE Angles ( BQC , BFC ) which in a Circle Fig 33 : Stand upon the Same Arch ( BOC ) ; or which are in the Same Segment ( BQSC ) ...
... Radius : So is ZO , the Moon's Distance , unto Z E the Distance of the Sun. Q.E.I. ] T PROP . XXI . Theorem . HE Angles ( BQC , BFC ) which in a Circle Fig 33 : Stand upon the Same Arch ( BOC ) ; or which are in the Same Segment ( BQSC ) ...
Σελίδα 91
... Radius AD in C. From the Centre C thro ' B describe an Arch , meeting the Diameter ED in G. The right Line GB is the Side of a Pentagon , and AG of a Decagon . The Demonstration cannot be given here , for it de- pends upon the 13th Book ...
... Radius AD in C. From the Centre C thro ' B describe an Arch , meeting the Diameter ED in G. The right Line GB is the Side of a Pentagon , and AG of a Decagon . The Demonstration cannot be given here , for it de- pends upon the 13th Book ...
Σελίδα 95
... Radius AC by the Construction . Wherefore the Tri- angle N is also equilateral . And in the fame manner the Triangle K may be shewn to be so . Because therefore all the fix Triangles , H , I , K , L , M , N , are equilateral ; it is ...
... Radius AC by the Construction . Wherefore the Tri- angle N is also equilateral . And in the fame manner the Triangle K may be shewn to be so . Because therefore all the fix Triangles , H , I , K , L , M , N , are equilateral ; it is ...
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 alſo alſo equal Altitude Arch Archimedes Bafe Baſe becauſe biſected Centre Circum circumfcrib'd Circumference circumſcribed conical Superficies conical Surfaces conſequently Conſtruction contain'd Coroll Corollary Cylinder demonſtrated deſcribe Diameter double drawn thro equal Angles equilateral Cone Euclid EUCLID'S Elements fame Figure firſt fore foregoing four right given Line given right Line greater greatest Circle hath Height Hypothefis infcrib'd inſcribed leſs likewife Line BC manifeſt Mathematicks mean Proportional betwixt meaſure moſt Number oppofite parallel Parallelepiped Parallelogram paſs Pentagon perpendicular Plane Point Polygon Priſm produc'd PROP Propofition Pyramids Radius Rectangle right Angle ſame manner ſay Schol Scholium ſecond ſeeing Segment ſelf Semidiameter ſhall be equal ſhew ſhew'd Sides Solid Sphere ſpherical Surface Square ſtands ſuppos'd themſelves Theorem theſe Thing thoſe unto whatsoever Wherefore whole Superficies whoſe
Δημοφιλή αποσπάσματα
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Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
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Σελίδα 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.
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...