The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 21
А Produce BOto D. Then because ACD is the exte . rior angle of the triangle ABC , it is greater than the interior opposite angle ABC . [ I. 16 . To each of these add the angle ACB Therefore the angles ACD ...
А Produce BOto D. Then because ACD is the exte . rior angle of the triangle ABC , it is greater than the interior opposite angle ABC . [ I. 16 . To each of these add the angle ACB Therefore the angles ACD ...
Página 22
The greater side of every triangle has the greater angle opposite to it . Let ABC be a triangle , of which the side AC is greator than the side AB : the anglo ABC is also greater than the angle ACB . Because AC is greater than AB ...
The greater side of every triangle has the greater angle opposite to it . Let ABC be a triangle , of which the side AC is greator than the side AB : the anglo ABC is also greater than the angle ACB . Because AC is greater than AB ...
Página 95
therefore the three angles CAB , ACB , ABC , are equal to the two angles ABC , ADC . But the angles CAB , ACB , ABC are together equal to two right angles ; [ I. 32 therefore also the angles ABC , ADC are together equal to two right ...
therefore the three angles CAB , ACB , ABC , are equal to the two angles ABC , ADC . But the angles CAB , ACB , ABC are together equal to two right angles ; [ I. 32 therefore also the angles ABC , ADC are together equal to two right ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole