Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 30
... touch at B. Let AC and DE be parallel diameters , A and D being towards the same parts . Then B , D , and A will be in a straight line . Therefore Join BD and AD . If they are not in a straight line let BD produced meet AC at H. Join FG ...
... touch at B. Let AC and DE be parallel diameters , A and D being towards the same parts . Then B , D , and A will be in a straight line . Therefore Join BD and AD . If they are not in a straight line let BD produced meet AC at H. Join FG ...
Página 32
... touch the given circle at D. III . 16 to 19 . 176. In the diagram of III . 17 let FD be produced to meet the outer circle at H ; join EH cutting the inner circle at K ; join AK : then AK will touch the circle BCD . This may be shewn ...
... touch the given circle at D. III . 16 to 19 . 176. In the diagram of III . 17 let FD be produced to meet the outer circle at H ; join EH cutting the inner circle at K ; join AK : then AK will touch the circle BCD . This may be shewn ...
Página 33
... touch the given straight line at A , and touch externally the given circle at B. From O draw a straight line parallel to CA to meet the circumference of the given circle at D , so that OD and CA may be on opposite sides of OC . Then D ...
... touch the given straight line at A , and touch externally the given circle at B. From O draw a straight line parallel to CA to meet the circumference of the given circle at D , so that OD and CA may be on opposite sides of OC . Then D ...
Página 34
... touch a circle : then will AB and CD together be equal to BC and DA together . Let AB touch the circle at P , let BC touch it at Q , let CD touch it at R , and let DA touch it at S. Then AP is equal to AS , BP to BQ , CQ to CR , and DR ...
... touch a circle : then will AB and CD together be equal to BC and DA together . Let AB touch the circle at P , let BC touch it at Q , let CD touch it at R , and let DA touch it at S. Then AP is equal to AS , BP to BQ , CQ to CR , and DR ...
Página 35
... touch AB at E , touch BC at F , and touch DA at L ; let another circle touch BC at G , touch CD at H , and touch DA at K. Also let the two circles touch each other at 0 . Let the straight line MON be drawn touching both circles at O ...
... touch AB at E , touch BC at F , and touch DA at L ; let another circle touch BC at G , touch CD at H , and touch DA at K. Also let the two circles touch each other at 0 . Let the straight line MON be drawn touching both circles at O ...
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Términos y frases comunes
ABCD AC is equal angle ABC angle ACB angle BAC base bisects the angle BOOK Cambridge centre chord circle circle described College common construction Crown 8vo described diameter difference double draw a straight drawn Edition equal to BC equal to half equal to twice Euclid Exercise Fellow figure fixed fore four given given circle given straight line greater half half the angle Hence HISTORY Illustrations intersect Join less Let ABC meet meeting BC middle point parallel to BC parallelogram pass perpendicular plane produced Professor quadrilateral radius rectangle respects right angles round School segment shewn sides Similarly square on BC straight line parallel suppose tangent third touch triangle ABC twice the squares
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