Elements of Geometry;: Containing the First Six Books of Euclid, with Two Books on the Geometry of Solids. To which are Added, Elements of Plane and Spherical TrigonometryBell & Bradfute, and G. G. & J. Robinson, London., 1795 - 400 páginas |
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Página 20
... demonstrated that the angle BCG , that is d , the angle ACD , is greater than the angle ABC . Therefore , if one fide , & c . QE . D. A PRO P. XVII . THEOR . NY two angles of a triangle are together lefs than two right angles . Let 1 ...
... demonstrated that the angle BCG , that is d , the angle ACD , is greater than the angle ABC . Therefore , if one fide , & c . QE . D. A PRO P. XVII . THEOR . NY two angles of a triangle are together lefs than two right angles . Let 1 ...
Página 39
... demonstrated that no other line BC ; AD is therefore parallel to it . angles upon , & c . Q. Ë . D. D4 B C but AD is parallel to Wherefore equal tri- PROP . Book I. PRO P. XL . THEOR . EQUAL triangles OF GEOMETRY . 39.
... demonstrated that no other line BC ; AD is therefore parallel to it . angles upon , & c . Q. Ë . D. D4 B C but AD is parallel to Wherefore equal tri- PROP . Book I. PRO P. XL . THEOR . EQUAL triangles OF GEOMETRY . 39.
Página 72
... demonstrated of any other point between A and B , therefore AB is with- in the circle . Wherefore , if any two points , & c . Q. E. D. PRO P. III . THEOR . 41. 3 . 1 F a ftraight line drawn through the centre of a circle bifect a ...
... demonstrated of any other point between A and B , therefore AB is with- in the circle . Wherefore , if any two points , & c . Q. E. D. PRO P. III . THEOR . 41. 3 . 1 F a ftraight line drawn through the centre of a circle bifect a ...
Página 83
... from the centre , that is , if FE be equal to EG , AB is equal to CD : For , the fame conftruction being made , it may , as before , be demonstrated , G 2 Book III . demonftrated , that AB is double of OF GEOMETRY . 83.
... from the centre , that is , if FE be equal to EG , AB is equal to CD : For , the fame conftruction being made , it may , as before , be demonstrated , G 2 Book III . demonftrated , that AB is double of OF GEOMETRY . 83.
Página 124
... demonstrated , that FB , FA , FE are each of them equal to FC or FD : therefore the five ftraight lines FA , FB . FC , FD , FE are equal to one another ; and the circle defcribed from the centre F , at the distance of one of them ...
... demonstrated , that FB , FA , FE are each of them equal to FC or FD : therefore the five ftraight lines FA , FB . FC , FD , FE are equal to one another ; and the circle defcribed from the centre F , at the distance of one of them ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Formerly Chairman Department of Immunology John Playfair Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD alfo alſo angle ABC angle ACB angle BAC arch bafe baſe BC is equal becauſe the angle bifected Book VII cafe centre circle ABC circumference co-fine cylinder defcribed demonftrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle faid fame manner fame plane fame ratio fame reaſon fecond fegment femicircle fhall fhewn fimilar fince firft firſt folid fore fquare of AC ftraight line AB fuch given ftraight line gnomon greater impoffible infcribed interfect join lefs leſs Let ABC line BC magnitudes muſt oppofite angle parallel parallelepiped parallelogram perpendicular polygon prifm propofition proportionals radius rectangle contained rectilineal figure remaining angle right angles ſhall ſpace ſquare tangent thefe THEOR theſe thoſe touches the circle triangle ABC wherefore