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 84
... a Cir- cle , or to have a Circle circumfcrib'd about it , when the Tops of all the Angles thereof are in the Cir- cumference of the Circle . 2. A rectilinear Figure is faid to be circumscrib'd a- I 2. A 84 Lib . IV . 1.
... a Cir- cle , or to have a Circle circumfcrib'd about it , when the Tops of all the Angles thereof are in the Cir- cumference of the Circle . 2. A rectilinear Figure is faid to be circumscrib'd a- I 2. A 84 Lib . IV . 1.
Σελίδα 85
... . 1. 1. Then in the Points G , F , B , let three right Lines touch the Circle , meeting together in C , E , D. The Triangle CED is circum- G3 circumfcrib'd about the Circle , and is equi - angled Lib . IV . 85 EUCLID'S Elements .
... . 1. 1. Then in the Points G , F , B , let three right Lines touch the Circle , meeting together in C , E , D. The Triangle CED is circum- G3 circumfcrib'd about the Circle , and is equi - angled Lib . IV . 85 EUCLID'S Elements .
Σελίδα 86
With Select Theorems Out of Archimedes Euclid, André Tacquet. circumfcrib'd about the Circle , and is equi - angled to the given one ILK . For , In the Quadrilateral CGAB , the Angles G and B ( a ) Per 18. arc ( a ) both of them right ...
With Select Theorems Out of Archimedes Euclid, André Tacquet. circumfcrib'd about the Circle , and is equi - angled to the given one ILK . For , In the Quadrilateral CGAB , the Angles G and B ( a ) Per 18. arc ( a ) both of them right ...
Σελίδα 94
... circumfcrib'd one about a Pentagon . 2. E. D. Fig . 13 . 2 [ In the Same way , in any regular Figure whatsoever , a Circle may be inscrib'd , and circumfcrib'd about it . ] PROP . XV . Problem . Na given Circle to defcribe I a regular ...
... circumfcrib'd one about a Pentagon . 2. E. D. Fig . 13 . 2 [ In the Same way , in any regular Figure whatsoever , a Circle may be inscrib'd , and circumfcrib'd about it . ] PROP . XV . Problem . Na given Circle to defcribe I a regular ...
Σελίδα 167
... circumfcrib'd about some Figure , will at last exceed it by an Excess less than any given one whatsoever , they shall be faid to end in the Figure . M 4 PROP- Fig . 6 , 7 . PROPOSITION I. Theorem . Lib . XII . 167 EUCLID'S Elements .
... circumfcrib'd about some Figure , will at last exceed it by an Excess less than any given one whatsoever , they shall be faid to end in the Figure . M 4 PROP- Fig . 6 , 7 . PROPOSITION I. Theorem . Lib . XII . 167 EUCLID'S Elements .
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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 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...