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 10
... opposite . Α . D Let ABC , DEF be two triangles which have the two fides AB , AC equal to the two fides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC fhall be equal to ...
... opposite . Α . D Let ABC , DEF be two triangles which have the two fides AB , AC equal to the two fides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the base BC fhall be equal to ...
Página 28
... opposite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to EF ; and alfo the . third angle BAC to B the third EDF . A HC E 1 D # For ...
... opposite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to EF ; and alfo the . third angle BAC to B the third EDF . A HC E 1 D # For ...
Página 162
... opposite to the homologous fides . Let the triangles ABC , DEF have their fides proportion- als , fo that AB is to BC , as DE to EF ; and BC to CA , as EF to FD ; and confequently , ex æquali , BA to AC , as ED to DF ; the triangle ABC ...
... opposite to the homologous fides . Let the triangles ABC , DEF have their fides proportion- als , fo that AB is to BC , as DE to EF ; and BC to CA , as EF to FD ; and confequently , ex æquali , BA to AC , as ED to DF ; the triangle ABC ...
Página 205
... opposite two are parallel . XIII . A cube is a folid figure contained by fix equal fquares . XIV . A sphere is a folid figure defcribed by the revolution of a se- micircle about a diameter , which remains unmoved . XV . The axis of a ...
... opposite two are parallel . XIII . A cube is a folid figure contained by fix equal fquares . XIV . A sphere is a folid figure defcribed by the revolution of a se- micircle about a diameter , which remains unmoved . XV . The axis of a ...
Página 300
... opposite angles . In this problem there are four cafes , in each of which the folution depends on fome of the foregoing propofitions . CASE I. Two angles A and B , and one fide AB , of a triangle ABC , being given , to find the other ...
... opposite angles . In this problem there are four cafes , in each of which the folution depends on fome of the foregoing propofitions . CASE I. Two angles A and B , and one fide AB , of a triangle ABC , being given , to find the other ...
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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