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 9
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the fame are equal to one another ; therefore the ftraight line AL is equal to BC . Wherefore from the given point A a ftraight line AL has been drawn equal ...
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the fame are equal to one another ; therefore the ftraight line AL is equal to BC . Wherefore from the given point A a ftraight line AL has been drawn equal ...
Página 10
... wherefore also the point C fhall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC fhåll co- a cor.def . 3. incide with the base EF a , and shall be equal to it ...
... wherefore also the point C fhall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC fhåll co- a cor.def . 3. incide with the base EF a , and shall be equal to it ...
Página 11
... wherefore the triangles BFC , CGB are equal b , and their remaining angles are equal , to which the equal fides are oppofite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , fince it has ...
... wherefore the triangles BFC , CGB are equal b , and their remaining angles are equal , to which the equal fides are oppofite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . Now , fince it has ...
Página 13
... wherefore the angle FDC is likewife greater than BCD ; much more this he ngle BDC greater than the angle BCD . A- gain , because CB is equal to DB , A E F D B the angle BDC is equal a to the angle BED ; but BDC has " 2 been 2 5. 7 Book ...
... wherefore the angle FDC is likewife greater than BCD ; much more this he ngle BDC greater than the angle BCD . A- gain , because CB is equal to DB , A E F D B the angle BDC is equal a to the angle BED ; but BDC has " 2 been 2 5. 7 Book ...
Página 15
... wherefore likewife the 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 ...
... wherefore likewife the 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 ...
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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