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 iii
... those who flight those Things whereof they are ig- norant , of how great Value and Dignity A 2 this -7 3-23-39 Hem this Knowledge is , which the wisest Men of all Hest of aci.
... those who flight those Things whereof they are ig- norant , of how great Value and Dignity A 2 this -7 3-23-39 Hem this Knowledge is , which the wisest Men of all Hest of aci.
Σελίδα 1
... those which have the fame Terms ; or , is the fhortest of all thofe which can be drawn betwixt two Points . Or as Plato hath it : A right Line is that whose Ex- tremes hide all the reft ; [ that is , when the Eye is placed in a ...
... those which have the fame Terms ; or , is the fhortest of all thofe which can be drawn betwixt two Points . Or as Plato hath it : A right Line is that whose Ex- tremes hide all the reft ; [ that is , when the Eye is placed in a ...
Σελίδα 9
... 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 the Thing to be demonftrated . • Coroll . ( 1. ) Hence we may also in another way mea - Fig ...
... 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 the Thing to be demonftrated . • Coroll . ( 1. ) Hence we may also in another way mea - Fig ...
Σελίδα 40
... those equal Angles are equal : ( f ) amongst themselves , to wit , IA , CA , to BA , AF , each to each . Therefore the ( 8 ) Per 4.1.1 . Triangles IAC , FAB ( g ) are equal . Which becaufe they ftand upon the fame Bafes I A , FA with ...
... those equal Angles are equal : ( f ) amongst themselves , to wit , IA , CA , to BA , AF , each to each . Therefore the ( 8 ) Per 4.1.1 . Triangles IAC , FAB ( g ) are equal . Which becaufe they ftand upon the fame Bafes I A , FA with ...
Σελίδα 46
... those two ( AB , AC ) is equal to all the Rectangles together , which are contain'd under the undivided Line ( A B ) and the feveral Parts of the divided Line ( AE , E F , FC ) . Make A B perpendicular to AC , thro ' B draw the infinite ...
... those two ( AB , AC ) is equal to all the Rectangles together , which are contain'd under the undivided Line ( A B ) and the feveral Parts of the divided Line ( AE , E F , FC ) . Make A B perpendicular to AC , thro ' B draw the infinite ...
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...