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 25.
Σελίδα 16
... less than the two Sides CF , FA taken together . Q.E. D. T then . PRO P. XVI , XVII . HESE two Propofitions are contain'd in Pro- pofition 32 ; and are not here made use of till . Fig . 38 . IN PROP . XVIII . Theorem . N every Triangle ...
... less than the two Sides CF , FA taken together . Q.E. D. T then . PRO P. XVI , XVII . HESE two Propofitions are contain'd in Pro- pofition 32 ; and are not here made use of till . Fig . 38 . IN PROP . XVIII . Theorem . N every Triangle ...
Σελίδα 17
... less than B , nor equal to it . Therefore it is greater . 2. E. D. PROP . XIX . Theorem . 17 IN the and N the Triangle AO B the Side ( BO ) which is op- Fig . 38 . that ( AO ) which is oppofed to the leffer Angle B , is the leffer ...
... less than B , nor equal to it . Therefore it is greater . 2. E. D. PROP . XIX . Theorem . 17 IN the and N the Triangle AO B the Side ( BO ) which is op- Fig . 38 . that ( AO ) which is oppofed to the leffer Angle B , is the leffer ...
Σελίδα 18
... less than the Sides of the Triangle ( AC , BC ) , but they comprehend a great- er Angle ( AO B ) . For as for the first Part of the Propofition , Draw out ( a ) Perzo.l.1 . A O unto F : AC , C F are ( a ) greater than A F. There- fore ...
... less than the Sides of the Triangle ( AC , BC ) , but they comprehend a great- er Angle ( AO B ) . For as for the first Part of the Propofition , Draw out ( a ) Perzo.l.1 . A O unto F : AC , C F are ( a ) greater than A F. There- fore ...
Σελίδα 61
... less than CQ , or any other . Part 3. In the Triangles COA , CLA , the Sides L A , AC , are equal to OA , AC , each to each . But the Angle LAC is greater than the Angle O A C. There- fore ( c ) the Bafe LC is greater than the Bafe OC ...
... less than CQ , or any other . Part 3. In the Triangles COA , CLA , the Sides L A , AC , are equal to OA , AC , each to each . But the Angle LAC is greater than the Angle O A C. There- fore ( c ) the Bafe LC is greater than the Bafe OC ...
Σελίδα 72
... less than the Angle BQC . There- fore , & c . ] Fig . 35 .. I PROP . XXII . Theorem . N any Quadrilateral infcribed in a Circle ( AB CF ) the oppofite Angles make two right ones . Let BF , CA be drawn . The Angle ABC with the ( d ) ...
... less than the Angle BQC . There- fore , & c . ] Fig . 35 .. I PROP . XXII . Theorem . N any Quadrilateral infcribed in a Circle ( AB CF ) the oppofite Angles make two right ones . Let BF , CA be drawn . The Angle ABC with the ( d ) ...
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...