Class lessons on Euclid1882 |
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Сторінка 145
... rectangles contained by straight lines divided in various ways . An oblong , or rectangle , we know is ' a figure which has all its angles right angles , but not all its sides equal ' ( I. def . 31 ) , and further , since it is one of ...
... rectangles contained by straight lines divided in various ways . An oblong , or rectangle , we know is ' a figure which has all its angles right angles , but not all its sides equal ' ( I. def . 31 ) , and further , since it is one of ...
Сторінка 146
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . ' Let AB and CD be two straight lines , one of which , CD , is divided at points E ...
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . ' Let AB and CD be two straight lines , one of which , CD , is divided at points E ...
Сторінка 147
... rectangle con- tained by AB , CD the sum of the rectangles CK , EL , FM , which were constructed severally equal to the rectangles contained ... rectangle contained by the two straight lines is equal to the rectangles contained by the ...
... rectangle con- tained by AB , CD the sum of the rectangles CK , EL , FM , which were constructed severally equal to the rectangles contained ... rectangle contained by the two straight lines is equal to the rectangles contained by the ...
Сторінка 148
... rectangle contained by the whole line and one of the parts ( rect . AB , BC ) shall be equal to the square on that part ( sq . on BC ) , together with the rectangle contained by the two parts ( rect . AC , CB ) . Ꭺ B To adapt this ...
... rectangle contained by the whole line and one of the parts ( rect . AB , BC ) shall be equal to the square on that part ( sq . on BC ) , together with the rectangle contained by the two parts ( rect . AC , CB ) . Ꭺ B To adapt this ...
Сторінка 149
... rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square on the aforesaid part . ( Rect . AB , BC = sq . on BC and rect . AC , CB . ) Cons . - Describe square ...
... rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts , together with the square on the aforesaid part . ( Rect . AB , BC = sq . on BC and rect . AC , CB . ) Cons . - Describe square ...
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Загальні терміни та фрази
&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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