A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 38
... exterior angle shall be greater than either of the interior opposite angles . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles CBA , BAC ...
... exterior angle shall be greater than either of the interior opposite angles . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than either of the interior opposite angles CBA , BAC ...
Página 39
... angles are together less than two right angles . Produce BC to Then because 3 . ACD is the exterior angle of the triangle ABC , it is greater than the interior and opposite angle ABC . [ I. 16. ] To each of these add the angle ACB ...
... angles are together less than two right angles . Produce BC to Then because 3 . ACD is the exterior angle of the triangle ABC , it is greater than the interior and opposite angle ABC . [ I. 16. ] To each of these add the angle ACB ...
Página 40
... exterior angle of the triangle BDC , it is greater than the interior and opposite angle DCB . [ I. 16. ] But the angle ADB is equal to the angle ABD [ I. 5. ] , because the side AD is equal to the side AB . [ Const . ] Therefore the ...
... exterior angle of the triangle BDC , it is greater than the interior and opposite angle DCB . [ I. 16. ] But the angle ADB is equal to the angle ABD [ I. 5. ] , because the side AD is equal to the side AB . [ Const . ] Therefore the ...
Página 43
... exterior angle of any triangle 3. is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than the angle CED . [ I. 16. ] For the same reason , the exterior angle CEB of the triangle ABE ...
... exterior angle of any triangle 3. is greater than the interior and opposite angle , the exterior angle BDC of the triangle CDE is greater than the angle CED . [ I. 16. ] For the same reason , the exterior angle CEB of the triangle ABE ...
Página 51
Euclides Charles MANSFORD. angle ABH is equal to the angle DEF [ Hyp . ] ; therefore the base AH is equal to the base ... exterior angle BHA of the triangle AHC is equal to the interior and opposite angle BCA ; which is impossible . [ I ...
Euclides Charles MANSFORD. angle ABH is equal to the angle DEF [ Hyp . ] ; therefore the base AH is equal to the base ... exterior angle BHA of the triangle AHC is equal to the interior and opposite angle BCA ; which is impossible . [ I ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
ABCD AC is equal alternate angles angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure remainder result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |