Key to Exercises in EuclidMacmillan and Company, 1880 - 114 páginas |
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Página 39
... chords of two equal arcs in a circle ; let AB and CG join the extremities of these chords towards the same parts : then AB and CG shall be parallel . The angle ABC is equal to the angle BCG by III . 27 : therefore CG is parallel to AB ...
... chords of two equal arcs in a circle ; let AB and CG join the extremities of these chords towards the same parts : then AB and CG shall be parallel . The angle ABC is equal to the angle BCG by III . 27 : therefore CG is parallel to AB ...
Página 40
... chord of the two equal circles . Through A draw a straight line meeting one circle at C , and the other at D ; draw BC and BD : these straight lines shall be equal . For the angle ACB is equal to the angle ADB 40 EXERCISES IN EUCLID .
... chord of the two equal circles . Through A draw a straight line meeting one circle at C , and the other at D ; draw BC and BD : these straight lines shall be equal . For the angle ACB is equal to the angle ADB 40 EXERCISES IN EUCLID .
Página 41
... chord of the larger circle , touching the smaller circle at D. Then BD and DC will subtend equal angles at A. Produce AD to cut the larger circle at F. Join KD and LF . Then A , K , L are in one straight line , by III . 11. The angle ...
... chord of the larger circle , touching the smaller circle at D. Then BD and DC will subtend equal angles at A. Produce AD to cut the larger circle at F. Join KD and LF . Then A , K , L are in one straight line , by III . 11. The angle ...
Página 42
... angles ABC and ABD are both right Therefore BC and BD are in one straight line by I. 14 . line CD passes through B. angles , by III . 31 . That is the straight 239. Draw through A any chord AC of the larger 42 EXERCISES IN EUCLID .
... angles ABC and ABD are both right Therefore BC and BD are in one straight line by I. 14 . line CD passes through B. angles , by III . 31 . That is the straight 239. Draw through A any chord AC of the larger 42 EXERCISES IN EUCLID .
Página 43
Isaac Todhunter. 239. Draw through A any chord AC of the larger circle , and let it intersect the smaller circle at B. Then OBA is a right angle by III . 31 . Therefore OB bisects AC , by III . 3 . 240. Let A , B , C be three given ...
Isaac Todhunter. 239. Draw through A any chord AC of the larger circle , and let it intersect the smaller circle at B. Then OBA is a right angle by III . 31 . Therefore OB bisects AC , by III . 3 . 240. Let A , B , C be three given ...
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Términos y frases comunes
ABCD AC and BD AC is equal angle ABC angle ACB angle BAC angle CAB bisects the angle Cambridge centre chord circle described circumference Crown 8vo describe a circle diameter draw a straight Edition equal to BC equal to four equal to half equal to twice equiangular Euclid Exercise 176 Extra fcap fcap fore given circle given point given straight line greater half a right half the angle Hence Let ABC meeting BC middle point Owens College parallel to BC parallelogram perpendicular plane Professor quadrilateral radius equal rectangle rhombus right angles segment shewn side BC square on BC straight line parallel suppose tangent touch the circle triangle ABC twice the angle twice the rectangle twice the squares
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