A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 40
... 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 angle ABD is also greater than the angle ACB . Much more then is the angle ...
... 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 angle ABD is also greater than the angle ACB . Much more then is the angle ...
Página 43
... 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 is greater than the angle BAE ; much more then is the angle BDC ...
... 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 is greater than the angle BAE ; much more then is the angle BDC ...
Página 49
... opposite to equal angles in each ; then shall the other sides be equal , each to each ; and also the third angle of the one equal to the third angle of the other . 1 . Let ABC , DEF be two triangles , which have the angles ABC , BCA ...
... opposite to equal angles in each ; then shall the other sides be equal , each to each ; and also the third angle of the one equal to the third angle of the other . 1 . Let ABC , DEF be two triangles , which have the angles ABC , BCA ...
Página 50
... opposite ; [ I. 4. ] therefore the angle GCB is equal to the angle DFE . But the angle DFE is equal to the angle ACB . [ Hyp . ] Therefore the angle GCB is equal to the angle ACB , [ Ax . 1. ] the less to the greater ; which is ...
... opposite ; [ I. 4. ] therefore the angle GCB is equal to the angle DFE . But the angle DFE is equal to the angle ACB . [ Hyp . ] Therefore the angle GCB is equal to the angle ACB , [ Ax . 1. ] the less to the greater ; which is ...
Página 51
... opposite [ I. 4 ] ; therefore the angle BHA is equal to the angle EFD . But the angle EFD is equal to the angle BCA . [ Hyp . ] Therefore the angle BHA is equal to the angle BCA [ Ax . 1 ] ; that is , the exterior angle BHA of the ...
... opposite [ I. 4 ] ; therefore the angle BHA is equal to the angle EFD . But the angle EFD is equal to the angle BCA . [ Hyp . ] Therefore the angle BHA is equal to the angle BCA [ Ax . 1 ] ; that is , the exterior angle BHA of the ...
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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