A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
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Page 125
... — 149 ° 4 ′ 5 ′′ ) = 61 ° 51 ′ 50 ′′ , - and proceeding as in Ex . 1 , we find area of segment ADB = 22′264 , and area of segment ACB = 66.806 , .. area of figure ACBD = 89'07 . 14 . axis OC Let DCE be a semi - AREAS OF PLANE FIGURES . 125.
... — 149 ° 4 ′ 5 ′′ ) = 61 ° 51 ′ 50 ′′ , - and proceeding as in Ex . 1 , we find area of segment ADB = 22′264 , and area of segment ACB = 66.806 , .. area of figure ACBD = 89'07 . 14 . axis OC Let DCE be a semi - AREAS OF PLANE FIGURES . 125.
Page 126
... axis OC Let DCE be a semi - ellipse having its semi - major 17 and semi - minor axis OD = 12 ; and let GCI = C G K F A D E B H be the elliptic segment , whose height ( CK ) = 10 . = Produce DE both ways to A and B , and make OA OB = 0C ...
... axis OC Let DCE be a semi - ellipse having its semi - major 17 and semi - minor axis OD = 12 ; and let GCI = C G K F A D E B H be the elliptic segment , whose height ( CK ) = 10 . = Produce DE both ways to A and B , and make OA OB = 0C ...
Page 191
... axes . Take I AN = 3 and AM = 1 , and join MN , which will be the line required . 5. Dividing the given equa- tion by 2 , we have ac y ö + = 1 . 14 On the rectangular axes X'AX , YAY ' , take AN = 6 , and AM 14 , and join NM , = MN will ...
... axes . Take I AN = 3 and AM = 1 , and join MN , which will be the line required . 5. Dividing the given equa- tion by 2 , we have ac y ö + = 1 . 14 On the rectangular axes X'AX , YAY ' , take AN = 6 , and AM 14 , and join NM , = MN will ...
Page 193
... 2 ) − 9 ( 3y + 2 ) = 0 , - ( 4x − 9 ) ( 3y + 2 ) = 0 ; 2 tan = ; 2 2 the equation to a line parallel to the axis of y , 4 3y + 2 = 0 , y = - 433 25. Solving the equation with regard to y , y3 25 STRAIGHT LINE . 193.
... 2 ) − 9 ( 3y + 2 ) = 0 , - ( 4x − 9 ) ( 3y + 2 ) = 0 ; 2 tan = ; 2 2 the equation to a line parallel to the axis of y , 4 3y + 2 = 0 , y = - 433 25. Solving the equation with regard to y , y3 25 STRAIGHT LINE . 193.
Page 194
... axes inclined at an angle w , being y― mx = 0 , my + x = 0 ; find the angle between them . Let be the angle between the lines , and a , ẞ , their respec- tive inclinations to the axis of x ; then sin a sin ( w- - a ) = m .. ( 1 ) ; and ...
... axes inclined at an angle w , being y― mx = 0 , my + x = 0 ; find the angle between them . Let be the angle between the lines , and a , ẞ , their respec- tive inclinations to the axis of x ; then sin a sin ( w- - a ) = m .. ( 1 ) ; and ...
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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