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 xviii
... fore- going Obfervations . VII . Important Principles of Divine Revelation confirmed from the foregoing Conjectures . VIII . Such Inferences fhewn to be the common Voice of Nature and Reafon , from the Testimonies of the most ...
... fore- going Obfervations . VII . Important Principles of Divine Revelation confirmed from the foregoing Conjectures . VIII . Such Inferences fhewn to be the common Voice of Nature and Reafon , from the Testimonies of the most ...
Σελίδα 11
... fore of the Eye from the Tower being given by meafu- ring , there is given at the fame time the Height of the Tower , Q. E , I. The VIIth Propofition in Euclid is for the fake of the VIIIth , which without it will here be demonftrated ...
... fore of the Eye from the Tower being given by meafu- ring , there is given at the fame time the Height of the Tower , Q. E , I. The VIIth Propofition in Euclid is for the fake of the VIIIth , which without it will here be demonftrated ...
Σελίδα 12
... fore the Angles B A F , CAF ( d ) are equal . Therefore the given Angle IAL is bifected . Q.E. F Fig . 30 . Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , & c . equal Angles , viz . by bifecting each Part again ...
... fore the Angles B A F , CAF ( d ) are equal . Therefore the given Angle IAL is bifected . Q.E. F Fig . 30 . Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , & c . equal Angles , viz . by bifecting each Part again ...
Σελίδα 18
... fore the common Line F B being added , AC , BC are greater than AF , F B. Again , OF , B F are greater ( b ) By the ( b ) than O B. Therefore the common A O being ad- ded , A F , B F are greater than AO , BO . Therefore A C , CB are ...
... fore the common Line F B being added , AC , BC are greater than AF , F B. Again , OF , B F are greater ( b ) By the ( b ) than O B. Therefore the common A O being ad- ded , A F , B F are greater than AO , BO . Therefore A C , CB are ...
Σελίδα 20
... and confe- quently much greater than the Angle BFC . There- ( a ) Per19.1.1.fore in the Triangle B C F , ( a ) B F which is oppofite to the the greater Angle BCF is greater than B C whch 20 Lib . I EUCLID'S Elements .
... and confe- quently much greater than the Angle BFC . There- ( a ) Per19.1.1.fore in the Triangle B C F , ( a ) B F which is oppofite to the the greater Angle BCF is greater than B C whch 20 Lib . I EUCLID'S Elements .
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...