The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
Dentro del libro
Resultados 1-5 de 59
Página x
... wrote Elements of all the Mathematicks , improv'd them , and made them more fit for Ufe . Wherefore he is deservedly to be reckon'd amongst the chief Compilers of Elements . Eudoxus : : 1 Eudoxus of Cnidos was not inferior to Leon : A ( x )
... wrote Elements of all the Mathematicks , improv'd them , and made them more fit for Ufe . Wherefore he is deservedly to be reckon'd amongst the chief Compilers of Elements . Eudoxus : : 1 Eudoxus of Cnidos was not inferior to Leon : A ( x )
Página 5
... Wherefore if all the Perpendiculars ( QL ) unto one of the two Parallels ( AB ) shall be equal , the right Lines ( AB , CF ) are said to be Pa- rallel . Parallels are produc'd , if the right Line ( LQ ) which is perpendicular to the ...
... Wherefore if all the Perpendiculars ( QL ) unto one of the two Parallels ( AB ) shall be equal , the right Lines ( AB , CF ) are said to be Pa- rallel . Parallels are produc'd , if the right Line ( LQ ) which is perpendicular to the ...
Página 9
... Wherefore , seeing the Angle AFC is the Angle of Incidence , which in fuch cases is equal to the Angle of Reflexion , it is manifest that BFD , which hath been proved equal to AFC , is the Angle of the Reflexion of the Ball A , and that ...
... Wherefore , seeing the Angle AFC is the Angle of Incidence , which in fuch cases is equal to the Angle of Reflexion , it is manifest that BFD , which hath been proved equal to AFC , is the Angle of the Reflexion of the Ball A , and that ...
Página 28
... Wherefore when each of the Triangles contains two ( b ) Per 32. right Angles ( b ) , they must altogether contain twice so many right Angles as there are Sides . Now the Angles ( c ) Coroll , 3. about the Point A , ( c ) do make four ...
... Wherefore when each of the Triangles contains two ( b ) Per 32. right Angles ( b ) , they must altogether contain twice so many right Angles as there are Sides . Now the Angles ( c ) Coroll , 3. about the Point A , ( c ) do make four ...
Página 35
... as AFB , is produced from half the Altitude FI multi- plied into the Base A B , or half the Base multiplied D2 into Per 37 ( c ) Per P 34 1.1 . Fig . 65 } 1 1 Fig . 66 . into the Altitude . Wherefore Lib . I. 35 EUCLID'S Elements .
... as AFB , is produced from half the Altitude FI multi- plied into the Base A B , or half the Base multiplied D2 into Per 37 ( c ) Per P 34 1.1 . Fig . 65 } 1 1 Fig . 66 . into the Altitude . Wherefore Lib . I. 35 EUCLID'S Elements .
Otras ediciones - Ver todas
The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Página 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.
Página 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.
Página 11 - Because the angle A is equal to the angle C, and the angle...
Página xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Página 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.
Página 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...
Página 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...