98b872dc-d860-474f-9902-59d22d555d0e 13 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

X_Y axes systems ... shifted, ∠

vertical x y f x y atan :

horizontal x y q y x atan :

composite 'shift' shift 0.5 :

composite centered x y axes x y / - :

x y shifted x shift + y shift - / - :

f q 2 1 sys axes shifted axes 2 1 sys

X 0.5 : ∠ 0.75 : 12 mat

r 0.5 :

x y circle x 2^y 2^+ r - :

f X + q 2 1 sys ∠ f * X + ∠ - ( q * X - 2 1 sys

∠ 1 :

∠ f * ∠ - ( q * circle 3 1 sys

parallel shift f X + q X - 21 sys

x 0 circle x 0.5 1 solve 0.7071

x 0.5 circle x 0.25 1 solve 0.5

42 atan ° 63.4349

0.5 0.5 i * + arg ° 45

24 atan ° 26.5651

0.5 0.5 i * + 0.5 0.5 i * + atan ° 45

42 atan 24 atan 21 mat sum ° 90.0000000000002

Classroom demo ... highlight solutions

a 5 :

datum 5 :

x y cardiode x 2^y 2^+ a x * - (2^a 2^x 2^y 2^+ (* - :

X x datum cardiode x 511 solve : 7.7184

x y track x X - y datum - / - :

cardiode track axes 3 1 sys

X X : Y datum : 12 mat 7.7184 512 mat

jmG: 20230615