A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 54
... angles are equal ; or ( 2 ) , that the exterior angle is equal to the interior and opposite ; or ( 3 ) , that the two interior angles are together equal to two right angles ; and from the demonstra- tions it is evident that all these ...
... angles are equal ; or ( 2 ) , that the exterior angle is equal to the interior and opposite ; or ( 3 ) , that the two interior angles are together equal to two right angles ; and from the demonstra- tions it is evident that all these ...
Página 55
... exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles . 1 . Let the straight line EF fall on the two parallel straight lines AB ...
... exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles . 1 . Let the straight line EF fall on the two parallel straight lines AB ...
Página 57
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its sides 1 . BC be produced to D : the exterior angle ...
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its sides 1 . BC be produced to D : the exterior angle ...
Página 58
... exterior ECD is equal to the interior and opposite angle ABC . [ I. 29. ] But the angle ACE was shown to be equal to the angle BAC ; therefore , the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ...
... exterior ECD is equal to the interior and opposite angle ABC . [ I. 29. ] But the angle ACE was shown to be equal to the angle BAC ; therefore , the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ...
Página 59
Euclides Charles Mansford. fore the exterior angles are equal to the angles a , b , c , and d . But these angles are ... angles by the angle aBc ( which BOOK I. 32 . 59.
Euclides Charles Mansford. fore the exterior angles are equal to the angles a , b , c , and d . But these angles are ... angles by the angle aBc ( which BOOK I. 32 . 59.
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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