Class lessons on Euclid1882 |
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Сторінка 10
... sides equal . The perimeter of any figure is the measurement round about it , i.e. the sum of its sides . OF THREE - SIDED FIGURES . Euclid classifies triangles ( 1 ) according to their sides , as equilateral or equal sided , isosceles ...
... sides equal . The perimeter of any figure is the measurement round about it , i.e. the sum of its sides . OF THREE - SIDED FIGURES . Euclid classifies triangles ( 1 ) according to their sides , as equilateral or equal sided , isosceles ...
Сторінка 11
... sides . ' 25. ' An isosceles triangle is that which has two sides equal . ' 26. ' A scalene triangle is that which has three unequal sides . ' 6 27. A right - angled triangle is that which has a right angle . ' 28. ' An obtuse - angled ...
... sides . ' 25. ' An isosceles triangle is that which has two sides equal . ' 26. ' A scalene triangle is that which has three unequal sides . ' 6 27. A right - angled triangle is that which has a right angle . ' 28. ' An obtuse - angled ...
Сторінка 12
... sides equal to one another , but all its sides are not equal nor its angles right angles . ' 34. All other four - sided figures besides these are called trapeziums . ' OF PARALLELS . 35. ' Parallel straight lines are such as are in the ...
... sides equal to one another , but all its sides are not equal nor its angles right angles . ' 34. All other four - sided figures besides these are called trapeziums . ' OF PARALLELS . 35. ' Parallel straight lines are such as are in the ...
Сторінка 17
... sides . The given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved . Draw a ...
... sides . The given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved . Draw a ...
Сторінка 19
... sides of the equilateral triangle ; we know nothing as to the length of the other parts . Looking at DF we have DB = DA , as was said , and also BG the given line ( def . 15 ) , or , adding these parts together , we may say that DG : = a ...
... sides of the equilateral triangle ; we know nothing as to the length of the other parts . Looking at DF we have DB = DA , as was said , and also BG the given line ( def . 15 ) , or , adding these parts together , we may say that DG : = 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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