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
... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two tri- angles have two fides of the ...
... remaining angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two tri- angles have two fides of the ...
Página 11
... remaining an- gles of the other , each to each , to which the equal fides are op- pofite , viz . the angle ACF to the angle ABG , and the angle AFC to the angle AGB : And D T B G a 3. 1 . b 4. £ . because the whole AF is equal to the ...
... remaining an- gles of the other , each to each , to which the equal fides are op- pofite , viz . the angle ACF to the angle ABG , and the angle AFC to the angle AGB : And D T B G a 3. 1 . b 4. £ . because the whole AF is equal to the ...
Página 12
... 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 . Therefore the angles at 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 . Therefore the angles at the ...
Página 19
... remaining angle ABE is equal b to the remaining angle ABD , the lefs b3 Ax . to the greater , which is impoffible ; therefore BE is not in the fame ftraight line with BC . And , in like manner , it may be demonftrated , that no other ...
... remaining angle ABE is equal b to the remaining angle ABD , the lefs b3 Ax . to the greater , which is impoffible ; therefore BE is not in the fame ftraight line with BC . And , in like manner , it may be demonftrated , that no other ...
Página 20
... remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ...
... remaining angles to the remaining angles , each to each , to which the equal fides are oppofite ; wherefore the angle BAE is equal to the angle ECF ; but the angle ECD is greater than the angle ECF ; therefore the angle ECD , that is ...
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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