Class lessons on Euclid1882 |
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Результати 6-10 із 37
Сторінка 28
... prove before , and we have to prove what we were then given . e.g. Proposition V. given - Two sides in a triangle equal ; show that the two opposite angles are equal . Proposition VI . given - Two angles equal ; show that the two ...
... prove before , and we have to prove what we were then given . e.g. Proposition V. given - Two sides in a triangle equal ; show that the two opposite angles are equal . Proposition VI . given - Two angles equal ; show that the two ...
Сторінка 30
... proved by the indirect method and by means of the 5th proposi- B tion . In accordance with the indirect method we will assume that to be true which we wish to dis- prove , and endeavour to deduce some absurd result from 30 CLASS LESSONS ...
... proved by the indirect method and by means of the 5th proposi- B tion . In accordance with the indirect method we will assume that to be true which we wish to dis- prove , and endeavour to deduce some absurd result from 30 CLASS LESSONS ...
Сторінка 31
Marianne Nops. prove , and endeavour to deduce some absurd result from the assumption . Supposing AC and AD to be equal , and also CB and DB , by joining CD the vertices of the triangles we construct two isosceles triangles , with a ...
Marianne Nops. prove , and endeavour to deduce some absurd result from the assumption . Supposing AC and AD to be equal , and also CB and DB , by joining CD the vertices of the triangles we construct two isosceles triangles , with a ...
Сторінка 32
... that their vertical angles are equal , because he wishes to draw attention to that particular circumstance in order to prove the next proposition . SUMMARY OF PROPOSITION VIII . , THEOREM 5 . If 32 CLASS LESSONS ON EUCLID .
... that their vertical angles are equal , because he wishes to draw attention to that particular circumstance in order to prove the next proposition . SUMMARY OF PROPOSITION VIII . , THEOREM 5 . If 32 CLASS LESSONS ON EUCLID .
Сторінка 34
... prove with some other truths already established . One rule is often of great value in the investigation of a proposition , viz . to assume what we wish to prove , that is that the theorem is true or the problem solved , and to draw a ...
... prove with some other truths already established . One rule is often of great value in the investigation of a proposition , viz . to assume what we wish to prove , that is that the theorem is true or the problem solved , and to draw a ...
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&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line
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