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 2
... angle is the inclination of two straight lines to one another , which meet together , but are not in the fame ... ABC , or CBA ; that which is contained by AB , BD is ' named the angle ABD , or DBA ; and that which is con- ' tained by BD ...
... angle is the inclination of two straight lines to one another , which meet together , but are not in the fame ... ABC , or CBA ; that which is contained by AB , BD is ' named the angle ABD , or DBA ; and that which is con- ' tained by BD ...
Página 10
... 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 ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle ...
... 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 ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle ...
Página 11
... angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal a to AF , the lefs , and join FC , GB . Because AF is equal to AG , and AB to AC , the ...
... angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal a to AF , the lefs , and join FC , GB . Because AF is equal to AG , and AB to AC , the ...
Página 12
... angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has alfo been proved that the angle FBC is equal to the angle GCB , which are the angles upon the o- ther fide of ...
... angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has alfo been proved that the angle FBC is equal to the angle GCB , which are the angles upon the o- ther fide of ...
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 ...
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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