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 50
Página 14
... same Place which the two right ones CAL , LAF do , and agree ( g ) Per Axi . to them , they are equal ( g ) to them . 2. E. D. 7 . Fig . 37 . Fig . 36 . Corollaries . 1.IN the fame manner it will be demonftrated , if more right Lines ...
... same Place which the two right ones CAL , LAF do , and agree ( g ) Per Axi . to them , they are equal ( g ) to them . 2. E. D. 7 . Fig . 37 . Fig . 36 . Corollaries . 1.IN the fame manner it will be demonftrated , if more right Lines ...
Página 16
... manner BDE equal Per 4.1.1.to the Angle CDE ; the Triangles shall be * equal in all other things , and BE shall be ... same manner the Line BF will be proved equal to FC . Seeing therefore the Lines B E and FA taken together , are ...
... manner BDE equal Per 4.1.1.to the Angle CDE ; the Triangles shall be * equal in all other things , and BE shall be ... same manner the Line BF will be proved equal to FC . Seeing therefore the Lines B E and FA taken together , are ...
Página 30
... Same Moment of Time by the Force AC accord- ing to the Direction of the Line AC , and by the Force AB according to ... manner B and C are shewed to be equal . Which was the first Part . 35 ( d ) Per 27 . 1.1 . Now Now because it ...
... Same Moment of Time by the Force AC accord- ing to the Direction of the Line AC , and by the Force AB according to ... manner B and C are shewed to be equal . Which was the first Part . 35 ( d ) Per 27 . 1.1 . Now Now because it ...
Página 34
... same Plane with the first Triangle SAB . Join SC . The Area made by a Ray drawn from the Centre , that is the ... manner , if the centripetal Force act fuccessively in the Points D , E , F , and be the cause that the Body in the ...
... same Plane with the first Triangle SAB . Join SC . The Area made by a Ray drawn from the Centre , that is the ... manner , if the centripetal Force act fuccessively in the Points D , E , F , and be the cause that the Body in the ...
Página 39
... same manner I might fhew that Z and ZG make one right Line . There- fore the whole QVZG is one right Line , and is also parallel to IX , seeing by the Construction QV is pa- rallel to I P. Now XG alfo ( c ) is parallel to IQ ; ( c ) Per ...
... same manner I might fhew that Z and ZG make one right Line . There- fore the whole QVZG is one right Line , and is also parallel to IX , seeing by the Construction QV is pa- rallel to I P. Now XG alfo ( c ) is parallel to IQ ; ( c ) Per ...
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...