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 |
Dentro del libro
Resultados 1-5 de 54
Página 10
... angle BAC equal to the angle EDF , the base BC fhall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to B C E which the equal fides are opposite , shall be equal , each to each , viz . the ...
... angle BAC equal to the angle EDF , the base BC fhall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to B C E which the equal fides are opposite , shall be equal , each to each , viz . the ...
Página 14
... angle BAC is equal to the angle EDF . F For , if the triangle ABC be applied to the triangle DEF , fo that the point B be on E , and the ftraight line BC up- on EF ; the point C fhall also coincide with the point F , because BC is equal ...
... angle BAC is equal to the angle EDF . F For , if the triangle ABC be applied to the triangle DEF , fo that the point B be on E , and the ftraight line BC up- on EF ; the point C fhall also coincide with the point F , because BC is equal ...
Página 15
... angle BAC coincides with the angle EDF , and is equal b to b s . Ax . it . Therefore it two triangles , & c . Q. E. D. T PROP . IX . PROB . O bifect a given rectilineal angle , that is , to di- vide it into two equal angles . Let BAC be ...
... angle BAC coincides with the angle EDF , and is equal b to b s . Ax . it . Therefore it two triangles , & c . Q. E. D. T PROP . IX . PROB . O bifect a given rectilineal angle , that is , to di- vide it into two equal angles . Let BAC be ...
Página 20
... angle is greater than either of the interior oppo- fite angles . Let ABC be a triangle , and let its fides BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC . Bifecta AC in E ...
... angle is greater than either of the interior oppo- fite angles . Let ABC be a triangle , and let its fides BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC . Bifecta AC in E ...
Página 21
... angle of the triangle ABC , ACD is greater a than the interior and oppofite angle a 16. 1 . ABC ; to each of these ... BAC , ACB , as alfo CAB , ABC , are lefs than two right angles . Therefore , any two angles , & c . Q. E. D. PRO P. XVIII .
... angle of the triangle ABC , ACD is greater a than the interior and oppofite angle a 16. 1 . ABC ; to each of these ... BAC , ACB , as alfo CAB , ABC , are lefs than two right angles . Therefore , any two angles , & c . Q. E. D. PRO P. XVIII .
Otras ediciones - Ver todas
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