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 8
... equal to AB ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved ... ABC is therefore equilateral , and it is defcribed upon the gi- ven straight line AB . Which was required to be done . om .
... equal to AB ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved ... ABC is therefore equilateral , and it is defcribed upon the gi- ven straight line AB . Which was required to be done . om .
Página 10
... equal , each to each , viz . those to which the equal fides are 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 ...
... equal , each to each , viz . those to which the equal fides are 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 ...
Página 11
... equal fides be produced , the angles upon the other fide of the base shall also be equal . Let ABC be an ifofceles triangle , of which the fide AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC ...
... equal fides be produced , the angles upon the other fide of the base shall also be equal . Let ABC be an ifofceles triangle , of which the fide AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC ...
Página 12
... 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 the bafe ...
... 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 the bafe ...
Página 14
... equal to one another , and likewise those which are terminated in the other extre- mity . Q. E. D. PROP . VIII ... ABC , DEF be two triangles having the two fides AB , AC , equal to the two fides DE , DF , each to each , viz . AB to DE ...
... equal to one another , and likewise those which are terminated in the other extre- mity . Q. E. D. PROP . VIII ... ABC , DEF be two triangles having the two fides AB , AC , equal to the two fides DE , DF , each to each , viz . AB to DE ...
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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