Geometry: An Interactive Journey to Mastery

Solutions

E௘ͽ 7KH¿UVWJQRPRQKDVDFRPPRQIDFWRURIWKHVHFRQGDFRPPRQIDFWRURIWKHWKLUGDFRPPRQ

factor of 3, and the fourth a common factor of 4.

11

12 2 2 21

13 23 33 32 31

14 24 34 44 43 42 41

112 121 3 12321 4 1234321.

u

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F௘ͽ 7KHWZRVXPVFRPHIURPWKHVDPHGLDJUDPVRWKH\DUHWKHVDPH%HFDXVH

(^)
22 2
3333

112 121 3 12321 4 1234321

1122 33 44

1234,

uu  u  u 

uu u u



 ZHKDYHHVWDEOLVKHGWKHVWDWHGIRUPXODLQWKHTXHVWLRQ

G௘ͽ 7KHVDPHDUJXPHQWZRUNVIRUDQn × nWDEOH6XPPLQJDOOWKHHQWULHVE\URZVJLYHV 12  " n^2.

6XPPLQJE\JQRPRQVJLYHV 1233 " n^3 .7KHVHPXVWEHWKHVDPH

Lesson 35

1. A íi and B = 5 + 6i. The point we seek is

(^35)
(^35)
5523
5523110 5 6
(^135538).

PA AB

ABA

AB

ii

i



 



  



JJJK

Thus, P §· ̈ ̧©¹13 38 55 ,.