A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
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Page 100
... 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 described ...
... 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 described ...
Page 102
... described . Draw the lines AED , AFH , AGI ; then will the parts DE , HF , IG be equal . For since AB touches the circle ( Eucl . III . 36 ) , DA : AB :: AB : AE , for the same reason AB : AH :: AF : AB ; B therefore , ex æquo , DA : AH ...
... described . Draw the lines AED , AFH , AGI ; then will the parts DE , HF , IG be equal . For since AB touches the circle ( Eucl . III . 36 ) , DA : AB :: AB : AE , for the same reason AB : AH :: AF : AB ; B therefore , ex æquo , DA : AH ...
Page 104
... 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 B of ...
... 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 B of ...
Page 106
... described from the centre O , at the dis- tance OD , will pass through C , and touch the line AB in C , because OC is perpendicular to AB . F B 75. Let A be the given point in the circumference of the circle whose centre is O ; B the ...
... described from the centre O , at the dis- tance OD , will pass through C , and touch the line AB in C , because OC is perpendicular to AB . F B 75. Let A be the given point in the circumference of the circle whose centre is O ; B the ...
Page 129
... described about F at the distance FD it will represent the globe in plano . H therefore is the lowest point of the sphere ; and C , H , and F are in the same straight line , which , if produced will bisect AB in G. By question , AG ...
... described about F at the distance FD it will represent the globe in plano . H therefore is the lowest point of the sphere ; and C , H , and F are in the same straight line , which , if produced will bisect AB in G. By question , AG ...
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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 a²b³ AB² ABCD AC² angle ABC axis BC² beam centre of gravity chord circle co-ordinates coefficient cos² cos³ cosec² curve diameter draw ellipse equal equilateral Eucl Hence hyperbola Join latus rectum Let ABC middle point MULTINOMIAL THEOREMS parabola parallel perpendicular plane point of contact point of intersection r₁ radius required locus right angle roots S₁ sec² segment sides Similarly sin² sin³ square straight line tan² tangent term transformed equation triangle ABC values vertical weight whence X₁