Class lessons on Euclid1882 |
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Seite 15
... triangle are equal , and ( 2 ) applies this general statement to a particular instance ; thus let ABC be an isosceles triangle having the side AB equal to the side AC , then the angle ABC shall be equal to the angle ACB . These ...
... triangle are equal , and ( 2 ) applies this general statement to a particular instance ; thus let ABC be an isosceles triangle having the side AB equal to the side AC , then the angle ABC shall be equal to the angle ACB . These ...
Seite 16
... ABC or CBA . A rectilineal figure usually has a letter placed at each angle . • There are a few contractions in ... triangle are equal . In this proposition we consider two sides of the triangle to be equal , in accord- ance with the ...
... ABC or CBA . A rectilineal figure usually has a letter placed at each angle . • There are a few contractions in ... triangle are equal . In this proposition we consider two sides of the triangle to be equal , in accord- ance with the ...
Seite 18
... triangle is thus described ; for A B since BC and AC are each equal to AB ( def . 15 ) , they are equal to each other ( ax . 1 ) . Thus the two conditions of the enunciation are satisfied , for ABC is an equilateral triangle , and it is ...
... triangle is thus described ; for A B since BC and AC are each equal to AB ( def . 15 ) , they are equal to each other ( ax . 1 ) . Thus the two conditions of the enunciation are satisfied , for ABC is an equilateral triangle , and it is ...
Seite 23
... triangle must be set upon or applied to the other . We will then imagine triangle ABC to be applied to DEF . Now , since in the two triangles two sides and the angle between them are given equal , we know that these equal parts will ...
... triangle must be set upon or applied to the other . We will then imagine triangle ABC to be applied to DEF . Now , since in the two triangles two sides and the angle between them are given equal , we know that these equal parts will ...
Seite 25
... triangle ABC of which side AB = side AC we have to show ( 1 ) that angle ABC = angle ACB . Produce the equal sides to D and E we have to show ( 2 ) that angle DBC is = to angle ECB . We will first endeavour to show that D B C E angle ...
... triangle ABC of which side AB = side AC we have to show ( 1 ) that angle ABC = angle ACB . Produce the equal sides to D and E we have to show ( 2 ) that angle DBC is = to angle ECB . We will first endeavour to show that D B C E angle ...
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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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