The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página 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 ...
Página 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 ...
Página 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 ...
Página 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 ...
Página 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 ) ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
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
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