The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 142
... Parallelepiped is a Solid contain'd under qua- drilateral Planes , of which the Oppofites are parallel . 14. If fix Planes in which the Oppofites are parallel be Squares , the Solid contain'd by them will be à Cube . O of it . a ...
... Parallelepiped is a Solid contain'd under qua- drilateral Planes , of which the Oppofites are parallel . 14. If fix Planes in which the Oppofites are parallel be Squares , the Solid contain'd by them will be à Cube . O of it . a ...
Σελίδα 154
... Parallelepiped are TH Simliar ; and ( 3 ) equal . Part I. The Plane AF cutting the Planes BD , FH , which by Defin . 13. are parallel , makes ( a ) the Sections BA , FE , parallel . Again , the Plane AF cutting the Planes AH , BG ...
... Parallelepiped are TH Simliar ; and ( 3 ) equal . Part I. The Plane AF cutting the Planes BD , FH , which by Defin . 13. are parallel , makes ( a ) the Sections BA , FE , parallel . Again , the Plane AF cutting the Planes AH , BG ...
Σελίδα 155
... Parallelepiped ( G FDI ) or any Prifm what - Fig . 30 , ever be cut by a Plane ( NP ) that is parallel to the oppofite Sides ; there will be this Proportion , as the Bafe ( DCPO ) is to the Base ( O PFE ) fo is the folid ( GP ) to the ...
... Parallelepiped ( G FDI ) or any Prifm what - Fig . 30 , ever be cut by a Plane ( NP ) that is parallel to the oppofite Sides ; there will be this Proportion , as the Bafe ( DCPO ) is to the Base ( O PFE ) fo is the folid ( GP ) to the ...
Σελίδα 156
... Parallelepiped F X QEMIPR not exist betwixt the fame lateral parallel Planes with the Paralle- lepiped FE A GKCMI . Here , because by the Hypo- thefis , GK , AC , RP , QX , are in one Plane , which is parallel to the Bafe EFIM ; let RP ...
... Parallelepiped F X QEMIPR not exist betwixt the fame lateral parallel Planes with the Paralle- lepiped FE A GKCMI . Here , because by the Hypo- thefis , GK , AC , RP , QX , are in one Plane , which is parallel to the Bafe EFIM ; let RP ...
Σελίδα 157
With Select Theorems Out of Archimedes Euclid, André Tacquet. a Parallelepiped . But to this by the firft Part the Paral- lelepipeds FX QEMIPR , and FEAGKCMI , are each of them equal . Therefore they are alfo equal be- twixt themselves ...
With Select Theorems Out of Archimedes Euclid, André Tacquet. a Parallelepiped . But to this by the firft Part the Paral- lelepipeds FX QEMIPR , and FEAGKCMI , are each of them equal . Therefore they are alfo equal be- twixt themselves ...
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 alfo equal alſo Altitude Arch Archimedes Axis Bafe Baſe becauſe betwixt themſelves bifected Centre Circum circumfcrib'd Circumference confequently Conftruction conical Superficies conical Surfaces contain'd Coroll Corollary Cylinder defcrib'd defcribe demonftrated Diameter double drawn thro equal Angles equilateral Cone equilateral Triangle Euclid faid fame manner fcrib'd fecond felf fhall be equal fhew fhew'd Figure firft firſt folid Angle fome fore foregoing four right ftand fuppos'd given right Line greater hath Height Hypothefis infcrib'd infcribed Interfections leffer lefs likewife Line BC manifeft Mathematicks mean Proportional betwixt Meaſure Number oppofite pafs thro parallel Parallelepiped Parallelogram Pentagon perpendicular Plane Point Polygon Prifm Priſms Proclus produc'd PROP Propofition Pyramids Radius Rectangle right Angle right Line Scholium Segment Semidiameter Solid Sphere Square thefe Theorem theſe Thing thofe unto whatſoever whofe whole Superficies
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.
Σελίδα 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.
Σελίδα xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Σελίδα 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.
Σελίδα 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.
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...