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 19
... same manner it can be demonftrated that the angles CEB , AED are equal . Therefore , if two ftraight lines , & c . Q. E. D. COR . 1. From this it is manifeft , that , if two straight lines cut one another , the angles which they make at ...
... same manner it can be demonftrated that the angles CEB , AED are equal . Therefore , if two ftraight lines , & c . Q. E. D. COR . 1. From this it is manifeft , that , if two straight lines cut one another , the angles which they make at ...
Página 20
... same manner , if the fide BC be bifected , it may be 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 ...
... same manner , if the fide BC be bifected , it may be 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 ...
Página 39
... same side of it , are between the fame parallels . Let the equal triangles ABC , DBC be upon the fame bafe BC , and upon the fame fide cf it ; they are between the famc parallels . D E I. Join AD ; AD is parallel to BC ; for , if it is ...
... same side of it , are between the fame parallels . Let the equal triangles ABC , DBC be upon the fame bafe BC , and upon the fame fide cf it ; they are between the famc parallels . D E I. Join AD ; AD is parallel to BC ; for , if it is ...
Página 47
... same manner , by joining AE , BK , it is demonftrated that the parallelogram CL is equal to the fquare HC . Therefore the whole square BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the ftraight line BC ...
... same manner , by joining AE , BK , it is demonftrated that the parallelogram CL is equal to the fquare HC . Therefore the whole square BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the ftraight line BC ...
Página 71
... same manner it can be shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right ...
... same manner it can be shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right ...
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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