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 8
... Bases ( BC , FI ) are likewise equal , as also the Angles at the Bases ( B , F , and C , I ) which are opposite to equal fides , and consequently the whole Triangles are equal . For if we suppose the Triangle Z to be laid upon the ...
... Bases ( BC , FI ) are likewise equal , as also the Angles at the Bases ( B , F , and C , I ) which are opposite to equal fides , and consequently the whole Triangles are equal . For if we suppose the Triangle Z to be laid upon the ...
Σελίδα 9
... Base FI will also fall upon the whole Base B C. But then the Angles F , B , and like- wise those I , C , and the whole Triangles will mutually ( congruere ) agree to each other . All therefore by Axiom 7th are equal . 2. E.D. Which was ...
... Base FI will also fall upon the whole Base B C. But then the Angles F , B , and like- wise those I , C , and the whole Triangles will mutually ( congruere ) agree to each other . All therefore by Axiom 7th are equal . 2. E.D. Which was ...
Σελίδα 10
... Base ( A , C ) are equal . Let the Triangle ABC be understood to be twice put , but in an inverted Posture cha . Because therefore in the Two Triangles ABC , cba , the Side AB is by the Supposition equal to the Side cb , and the Side CB ...
... Base ( A , C ) are equal . Let the Triangle ABC be understood to be twice put , but in an inverted Posture cha . Because therefore in the Two Triangles ABC , cba , the Side AB is by the Supposition equal to the Side cb , and the Side CB ...
Σελίδα 20
... Base BF greater than the Bafe ( B C. ) And again , If it hath the Base greater , it shall have the Angle greater . A From the Centre A describe a Circle which pafsfeth thro ' C , it shall pass also thro ' F , because A C , A Fare ...
... Base BF greater than the Bafe ( B C. ) And again , If it hath the Base greater , it shall have the Angle greater . A From the Centre A describe a Circle which pafsfeth thro ' C , it shall pass also thro ' F , because A C , A Fare ...
Σελίδα 25
... Base , A OB which falls within , is the greater . For let A O be produced unto F , A OB by this Pro- position is greater than OFB ; and likewife OFB is by this greater than C. Therefore AOB is much great- er than C. 3. If from one Point ...
... Base , A OB which falls within , is the greater . For let A O be produced unto F , A OB by this Pro- position is greater than OFB ; and likewife OFB is by this greater than C. Therefore AOB is much great- er than C. 3. If from one Point ...
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
Σελίδα 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.
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Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
Σελίδα xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
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...