Class lessons on Euclid1882 |
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Seite 8
... perpendicular to it . ' 11. ' An obtuse angle is that which is greater than a right angle . ' 12. ' An acute angle is that which is less than a right angle . ' 6 OF FIGURES . 13. A term or boundary is the extremity of anything . ' 14. A ...
... perpendicular to it . ' 11. ' An obtuse angle is that which is greater than a right angle . ' 12. ' An acute angle is that which is less than a right angle . ' 6 OF FIGURES . 13. A term or boundary is the extremity of anything . ' 14. A ...
Seite 38
... perpendicular to AB . Then supposing AB to be the given line , and D the given point , DC is the perpendicular required . But AB in the last proposition was bisected at D , and the given point is not necessarily the point of bisection ...
... perpendicular to AB . Then supposing AB to be the given line , and D the given point , DC is the perpendicular required . But AB in the last proposition was bisected at D , and the given point is not necessarily the point of bisection ...
Seite 39
... perpendicular from it to the given line , a b . In the figure of I. 11 , supposing F to be the given point , FC is the perpendicular required . The perpendicular was obtained by joining the vertex of an equilateral triangle with the ...
... perpendicular from it to the given line , a b . In the figure of I. 11 , supposing F to be the given point , FC is the perpendicular required . The perpendicular was obtained by joining the vertex of an equilateral triangle with the ...
Seite 40
... perpendicular to AB . This proposition concludes the second group of problems , in which we have learnt : - : - To bisect ( a ) an angle , ( B ) a finite straight line . To draw a perpendicular to a line from a point ( a ) within it ...
... perpendicular to AB . This proposition concludes the second group of problems , in which we have learnt : - : - To bisect ( a ) an angle , ( B ) a finite straight line . To draw a perpendicular to a line from a point ( a ) within it ...
Seite 41
... perpendicular to the other . But instead of being perpendicular let us suppose that one line is inclined a little to the other , is it not evident that while one of the angles is made larger than a right angle , the other is made ...
... perpendicular to the other . But instead of being perpendicular let us suppose that one line is inclined a little to the other , is it not evident that while one of the angles is made larger than a right angle , the other is made ...
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Häufige Begriffe und Wortgruppen
&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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