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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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 7
... betwixt themselves . And therefore all the ( c ) Per Sides of the Triangle are equal . Therefore the Triangle Axiom 1 . ( d ) ACB is both Equilateral , and made upon the ( d ) Per given Line A B ; which was the thing to be done . Def ...
... betwixt themselves . And therefore all the ( c ) Per Sides of the Triangle are equal . Therefore the Triangle Axiom 1 . ( d ) ACB is both Equilateral , and made upon the ( d ) Per given Line A B ; which was the thing to be done . Def ...
Σελίδα 22
... betwixt themselves , they fhall therefore ( a ) intercept equal Parts of the Parallels , and R L fhall be equal to QO . Therefore the Triangles X and Z are equilateral to one another . Therefore ( b ) the alternate Angles R LO , QOL ...
... betwixt themselves , they fhall therefore ( a ) intercept equal Parts of the Parallels , and R L fhall be equal to QO . Therefore the Triangles X and Z are equilateral to one another . Therefore ( b ) the alternate Angles R LO , QOL ...
Σελίδα 40
... themselves , to wit , IA , CA , to BA , AF , each to each . Therefore the ( 8 ) Per 4.1.1 . Triangles IAC , FAB ( g ) ... betwixt themselves . By the fame reafoning if right Lines AX , BR were drawn , it might be fhewn Į that that the ...
... themselves , to wit , IA , CA , to BA , AF , each to each . Therefore the ( 8 ) Per 4.1.1 . Triangles IAC , FAB ( g ) ... betwixt themselves . By the fame reafoning if right Lines AX , BR were drawn , it might be fhewn Į that that the ...
Σελίδα 81
... betwixt them , is equal to the Square of the other Side . For the Sum of the Hypotenuse BA , + AF or AC , is BC ... themselves , and confequently the right Lines BQ , BF are equal . Therefore the Triangles F EB , BEQ are equilateral to ...
... betwixt them , is equal to the Square of the other Side . For the Sum of the Hypotenuse BA , + AF or AC , is BC ... themselves , and confequently the right Lines BQ , BF are equal . Therefore the Triangles F EB , BEQ are equilateral to ...
Σελίδα 109
... betwixt the fame Parallels , or have the fame Altitude , have the fame Proportion betwixt themselves as their Bafes , ( AC , DF ) Upon this Theorem the whole Sixth Book depends , yea , whatsoever any where is demonftrated about Fi ...
... betwixt the fame Parallels , or have the fame Altitude , have the fame Proportion betwixt themselves as their Bafes , ( AC , DF ) Upon this Theorem the whole Sixth Book depends , yea , whatsoever any where is demonftrated about Fi ...
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...