Class lessons on Euclid1882 |
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Сторінка 8
... angles equal to one another , each of the angles is called a right angle , and the straight line which stands on the other is called a perpendicular to it . ' 11. ' An obtuse angle is that which is greater than a right angle . ' 12. ' An ...
... angles equal to one another , each of the angles is called a right angle , and the straight line which stands on the other is called a perpendicular to it . ' 11. ' An obtuse angle is that which is greater than a right angle . ' 12. ' An ...
Сторінка 9
... angles . The two diameters cutting at the centre will be divided into four radii , on each of these draw a square , the resulting figure will be equal to four times the square of the radius , and we shall see that the circle does not ...
... angles . The two diameters cutting at the centre will be divided into four radii , on each of these draw a square , the resulting figure will be equal to four times the square of the radius , and we shall see that the circle does not ...
Сторінка 10
... angles as sides ; hence these figures may be named either according to their angles or their sides . Thus Euclid speaks of trilateral , three - sided , quadrilateral , four - sided , multilateral , many - sided , and equilateral , equal ...
... angles as sides ; hence these figures may be named either according to their angles or their sides . Thus Euclid speaks of trilateral , three - sided , quadrilateral , four - sided , multilateral , many - sided , and equilateral , equal ...
Сторінка 11
Marianne Nops. acute angles ; consequently a right - angled triangle has one right angle , an obtuse - angled ... equal sides . ' 25. ' An isosceles triangle is that which has two sides equal . ' 26. ' A scalene triangle is that which has ...
Marianne Nops. acute angles ; consequently a right - angled triangle has one right angle , an obtuse - angled ... equal sides . ' 25. ' An isosceles triangle is that which has two sides equal . ' 26. ' A scalene triangle is that which has ...
Сторінка 12
... angles . ' 33. A rhomboid is that which has its opposite 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 ...
... angles . ' 33. A rhomboid is that which has its opposite 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 ...
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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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