A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
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Page 100
... circle described on AC as diameter will pass through the points R , P , because the angles ARC , APC are right angles ; hence angle APR angle ACR = a right angle - angle CAB ; and BPR = a right angle APR = CAB . Simi- larly the circle ...
... circle described on AC as diameter will pass through the points R , P , because the angles ARC , APC are right angles ; hence angle APR angle ACR = a right angle - angle CAB ; and BPR = a right angle APR = CAB . Simi- larly the circle ...
Page 101
... circle , and AD , BF tangents at A , B ; also DF a tan- gent at any point C : and let O be the centre ; join DO , FO ; the angle DOF is a right angle . Join CO . Then since CF - FB , A CO = OB ; and the angles at Cand B being right ...
... circle , and AD , BF tangents at A , B ; also DF a tan- gent at any point C : and let O be the centre ; join DO , FO ; the angle DOF is a right angle . Join CO . Then since CF - FB , A CO = OB ; and the angles at Cand B being right ...
Page 102
... circles . Draw CD parallel to AB , touching the inner circle , and let EF be any other tangent to the inner circle . From O , the centre of the outer circle , draw OH perpendicular to CD , and OL perpendicular to EF , cutting the circle ...
... circles . Draw CD parallel to AB , touching the inner circle , and let EF be any other tangent to the inner circle . From O , the centre of the outer circle , draw OH perpendicular to CD , and OL perpendicular to EF , cutting the circle ...
Page 103
... circle AMN ; and from any point P in AB let PM , PN be drawn . Take O the centre of the circle , and join MO , NO ; and let fall the perpendiculars MF , DG on AB . Then since MN is parallel to AB , the angles AOM , BON are equal , and ...
... circle AMN ; and from any point P in AB let PM , PN be drawn . Take O the centre of the circle , and join MO , NO ; and let fall the perpendiculars MF , DG on AB . Then since MN is parallel to AB , the angles AOM , BON are equal , and ...
Page 104
... circle described on the radius AB of the circle ACE . Draw any line AC meeting the circle ABD in D ; AD is equal to DC . Join DB . Then the angle ADB being in a semicircle is a right angle ; and therefore BD being drawn from the centre ...
... circle described on the radius AB of the circle ACE . Draw any line AC meeting the circle ABD in D ; AD is equal to DC . Join DB . Then the angle ADB being in a semicircle is a right angle ; and therefore BD being drawn from the centre ...
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A Companion to Wrigley's Collection of Examples: Being Illustrations of ... John Thompson Platts,Alfred Wrigley No preview available - 2016 |
Common terms and phrases
a+b+c a²+b² a²b² AB² AC² axis BC² beam bisects centre of gravity chord circle co-ordinates coefficient cos² cos³ cosec curve diameter draw ellipse equal Eucl Hence hyperbola Join latus rectum Let ABC middle point MULTINOMIAL THEOREMS parabola parallel perpendicular plane point of contact r₁ radius required locus right angle roots S₁ S₂ sec² segment sides Similarly sin² sin³ square Taking the moments tan¹ tan² tangent term transformed equation triangle ABC values velocity vertical weight whence X₁ ΙΟ