Class lessons on Euclid1882 |
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Сторінка 7
... angle ( Lat . angulus , a ... angles formed by two curved lines , or a straight and a curved line . With these we shall not be concerned . The word rectilineal simply means straight - lined or right - lined ( Lat CLASS LESSONS ON EUCLID .
... angle ( Lat . angulus , a ... angles formed by two curved lines , or a straight and a curved line . With these we shall not be concerned . The word rectilineal simply means straight - lined or right - lined ( Lat CLASS LESSONS ON EUCLID .
Сторінка 8
... right ; linea , a line ) . In many modern books on geometry a straight line is termed a ' right line . ' No. 9 gives a general definition of the three kinds of plane angles , right angles , angles greater than a right angle , called ...
... right ; linea , a line ) . In many modern books on geometry a straight line is termed a ' right line . ' No. 9 gives a general definition of the three kinds of plane angles , right angles , angles greater than a right angle , called ...
Сторінка 9
... right angles , formed by the diameters cutting each other , each intercept or cut off a quarter of the circumference of the circle , containing , as you know , 90 ° . A right angle is therefore CLASS LESSONS ON EUCLID . 9.
... right angles , formed by the diameters cutting each other , each intercept or cut off a quarter of the circumference of the circle , containing , as you know , 90 ° . A right angle is therefore CLASS LESSONS ON EUCLID . 9.
Сторінка 10
Marianne Nops. know , 90 ° . A right angle is therefore often spoken of as an angle of 90 ° , and angles as well as circles are measured by degrees according ... angles ; consequently a right - angled triangle has 10 CLASS LESSONS ON EUCLID .
Marianne Nops. know , 90 ° . A right angle is therefore often spoken of as an angle of 90 ° , and angles as well as circles are measured by degrees according ... angles ; consequently a right - angled triangle has 10 CLASS LESSONS ON EUCLID .
Сторінка 11
Marianne Nops. acute angles ; consequently a right - angled triangle has one right angle , an obtuse - angled triangle an obtuse angle , and an acute - angled triangle three acute angles . 6 24. An equilateral triangle is that which has ...
Marianne Nops. acute angles ; consequently a right - angled triangle has one right angle , an obtuse - angled triangle an obtuse angle , and an acute - angled triangle three acute angles . 6 24. An equilateral triangle is that which has ...
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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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