A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
Dentro del libro
Resultados 6-10 de 11
Página 47
Euclides Charles Mansford. the angle DFG is greater than the angle EGF . Much ... EDF the construction is to be made . By starting from the side which is not ... angle EDG is greater than EDF , the point G must be above EF . Thus the two ...
Euclides Charles Mansford. the angle DFG is greater than the angle EGF . Much ... EDF the construction is to be made . By starting from the side which is not ... angle EDG is greater than EDF , the point G must be above EF . Thus the two ...
Página 48
... angle contained by the sides of that which has the greater base , shall be greater than the angle contained by the ... EDF . 3 . E For if not , the angle BAC is either equal to the angle EDF or less than the angle EDF . But the angle BAC ...
... angle contained by the sides of that which has the greater base , shall be greater than the angle contained by the ... EDF . 3 . E For if not , the angle BAC is either equal to the angle EDF or less than the angle EDF . But the angle BAC ...
Página 49
... angles in the two triangles , namely , BC to EF : the other sides shall be equal , each to each , namely , AB to DE , and AC to DF , and the third angle BAC equal to the third angle EDF . A 2 . E For if AB be not equal to DE , one of ...
... angles in the two triangles , namely , BC to EF : the other sides shall be equal , each to each , namely , AB to DE , and AC to DF , and the third angle BAC equal to the third angle EDF . A 2 . E For if AB be not equal to DE , one of ...
Página 50
... EDF . [ I. 4. ] Next , let sides which are opposite to equal 1. angles in ... angle BAC equal to the third angle EDF . B H E For if BC be not equal to EF , one of them 2 ... angle ABH is equal to the angle DEF [ Hyp 50 EUCLID'S ELEMENTS .
... EDF . [ I. 4. ] Next , let sides which are opposite to equal 1. angles in ... angle BAC equal to the third angle EDF . B H E For if BC be not equal to EF , one of them 2 ... angle ABH is equal to the angle DEF [ Hyp 50 EUCLID'S ELEMENTS .
Página 51
Euclides Charles Mansford. angle ABH is equal to the angle DEF [ Hyp ... EDF . [ I. 4. ] Therefore , if two triangles , & c . Q.E.D. It is evident ... angle opposite to one of them . Let AB and BH be the two given sides , and GAH the given ...
Euclides Charles Mansford. angle ABH is equal to the angle DEF [ Hyp ... EDF . [ I. 4. ] Therefore , if two triangles , & c . Q.E.D. It is evident ... angle opposite to one of them . Let AB and BH be the two given sides , and GAH the given ...
Otras ediciones - Ver todas
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
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal