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āĻ¸ā§āĻŦāĻžāĻ—āĻ¤āĻŽ
āĻ—āĻŖāĻŋāĻ¤ āĻŖāĻŋāĻŖāĻŋāĻŸāĻžāĻ˛āĻ•ā§āĻ˛āĻžāĻ¸ā§‡ā§‡āĻŦāĻžāĻ‡āĻ¸ā§‡
āĻŽ ā§‹āĻšā§‹āĻŽā§āĻŽāĻĻ āĻ°āĻĢāĻŋāĻ•ā§āĻ˛āĻ‡āĻ¸āĻ˛ā§‹
āĻĒā§āĻ°āĻ­ā§‹āĻˇāĻ•
āĻ—āĻĢāĻŋāĻ¤ āĻĢāĻŋāĻ­ā§‹āĻ—
āĻŽ āĻŸā§āĻ°ā§‹āĻĒāĻĢāĻ˛āĻŸāĻ¨āĻ¸ā§āĻ•ā§ āĻ˛āĻ…ā§āĻ¯ā§‹āĻ¨ā§āĻĄ āĻ•āĻŸā§āĻ˛āĻœ
āĻŽā§‡āĻĢāĻŋāĻŋāĻƒāĻ…ā§ā§
āĻĢāĻŋāĻˇā§ŸāĻŋāĻƒ āĻ—āĻĢāĻŋāĻ¤
āĻ…ā§āĻ§ā§āĻ¯ā§‹ā§ŸāĻŋāĻƒāĻ…ā§ā§
āĻ•ā§āĻ˛ā§‹āĻ¸āĻŋāĻƒ01
āĻĒāĻĢāĻ°āĻĢāĻŋāĻĢāĻ¤
āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ†ā§ŸāĻ¤ āĻ°āĻŽā§āĻŦāĻ¸
āĻŋāĻ—āĻ— āĻ°ā§‹āĻĢāĻĒāĻĢāĻœā§Ÿā§‹ āĻ˜ā§āĻĢāĻŋ
āĻĒāĻžāĻ  āĻ˜ āĻžāĻˇāĻŋāĻžāĻžāĻƒ
āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ¸āĻ‚āĻ•ā§āĻ°ā§‹āĻ¨ā§āĻ¤āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯
A
CD
B
āĻŖāĻŋāĻ–āĻ¨āĻĢāĻ˛āĻžāĻƒ
īƒ˜ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ°āĻ§ā§ āĻ—ā§‹āĻŋāĻĢāĻ˛ āĻ¯ā§‹āĻŋā§‹āĻ‡ āĻ“ āĻ¯ā§āĻĢāĻŋ ā§‚āĻ˛āĻ• āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤
īƒ˜ āĻĒā§āĻ°āĻĻāĻ¤ā§āĻ¤āĻ‰āĻĒā§‹āĻ¤ā§āĻ¤ āĻšāĻŸā§āĻ¤āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ†āĻāĻ•āĻŸā§āĻ¤āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤
īƒ˜ āĻĢāĻŋāĻ­ā§ āĻœāĻ¸ā§‚āĻŸā§āĻŋāĻ° āĻ¸ā§‹āĻšā§‹āĻŸā§āĻ¯āĻ¯ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻŽā§‡āĻŸā§āĻŋāĻ° āĻŽā§‡āĻŋāĻŋāĻ˛ āĻĒāĻĢāĻ° ā§‹āĻĒ āĻ•āĻ°āĻŸā§āĻ¤ āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤
āĻāĻ‡ āĻĒāĻžāĻ  āĻ˜āĻŋāĻ¸āĻˇ āĻŖāĻŋāĻ•ā§āĻˇāĻžāĻ°ā§āĻĨā§€āĻ°āĻž ...
āĻĒā§‹āĻ āĻĻā§‹āĻ¨āĻŋāĻƒ-āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§āĻ“ ā§¨
āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§: āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ°āĻŋā§‹āĻ°āĻŸāĻŋāĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§āĻŋā§‹āĻ° āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤
A
C
D
B
āĻĢāĻŋāĻŸā§ā§‡āĻˇāĻĢāĻ¨āĻŋāĻ—āĻŋāĻ¨: āĻŸā§āĻ¨ āĻ•āĻĢāĻ°, ABCDāĻāĻ•āĻŸāĻŋ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻāĻŋāĻ‚ ACāĻāĻ° āĻāĻ•āĻŸāĻŋ āĻ•āĻŋāĻ—āĨ¤
āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻšāĻŸā§āĻŋ āĻŽāĻ¯ , āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤
āĻ…ā§āĻ™ā§āĻ•āĻ¨:AāĻ“ B āĻŽāĻ¯ā§‹āĻ— āĻ•āĻĢāĻ°āĨ¤ ACāĻ•āĻŋāĻ—āĻŸāĻŋ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœāĻŸāĻŋāĻŸā§āĻ• āĻ“ āĻĻā§āĻ‡āĻŸāĻŋāĻĢāĻŋāĻ­ā§ āĻŸā§āĻœ
āĻĢāĻŋāĻ­āĻŋ āĻ•āĻŸā§āĻ°āĻŸā§ā§‡āĨ¤
4ī€Ŋīƒī€Ģīƒī€Ģīƒī€Ģīƒ DCBA
ABCī„ ADCī„
A
CD
B
[ āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻŽāĻ¯ā§‹āĻ—āĻŋāĻ˛]
[ āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻŽāĻ¯ā§‹āĻ—āĻŋāĻ˛]
āĻĒā§āĻ° ā§‹āĻŋāĻŋāĻƒ
2ī€Ŋīƒī€Ģīƒī€Ģīƒ BACBBAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ
2ī€Ŋīƒī€Ģīƒī€Ģīƒ DACDDAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ
ī€Ģīƒī€Ģīƒī€Ģīƒ BACBBAC
)22( ī€Ģī€Ŋīƒī€Ģīƒī€Ģīƒ DACDDAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ
ABACDAC īƒī€Ŋīƒī€Ģīƒ āĻāĻŋāĻ‚
CACBACD īƒī€Ŋīƒī€Ģīƒ
āĻ¸ā§āĻ¤āĻ°ā§‹āĻ‚, 4ī€Ŋīƒī€Ģīƒī€Ģīƒī€Ģīƒ DCBA āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ
[āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ° āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻ¸ āĻĢā§2 āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ]
[āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ° āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻ¸ āĻĢā§2 āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ]
[ (ā§§)āĻ“ (ā§¨)āĻŽā§‡āĻŸā§āĻ•]
[ (ā§Š)āĻŽā§‡āĻŸā§āĻ•]
āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§¨: āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŋā§‹āĻšā§ āĻ“āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹ āĻĒāĻ°āĻ¸ā§āĻĒāĻ° āĻ¸ ā§‹āĻ¨āĨ¤
A
CD
B
āĻĢāĻŋāĻŸā§ā§‡āĻˇāĻĢāĻ¨āĻŋāĻ—āĻŋāĻ¨: āĻŸā§āĻ¨ āĻ•āĻĢāĻ°, ABCDāĻāĻ•āĻŸāĻŋ āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻāĻŋāĻ‚ ACāĻ“ BD
āĻ¤ā§‹āĻ° āĻĻā§āĻ‡āĻŸāĻŋ āĻ•āĻŋāĻ—āĨ¤
āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻšāĻŸā§āĻŋ āĻŽāĻ¯,
(āĻ•) ABāĻŋā§‹āĻšā§ = CD āĻŋā§‹āĻšā§, ADāĻŋā§‹āĻšā§ = BC āĻŋā§‹āĻšā§
(āĻ–) ADCABCBCDBAD īƒī€Ŋīƒīƒī€Ŋīƒ ,
āĻĒā§āĻ° ā§‹āĻŋ:āĻĢāĻŋāĻ¸ā§āĻ¤ā§‹āĻĢāĻ°āĻ¤āĻ†āĻŸā§āĻ˛ā§‹āĻŋāĻ¨ā§‹ āĻ•āĻŸā§āĻ° āĻĒā§āĻ° ā§‹āĻŋ āĻ…ā§āĻ‚ā§‡ āĻŽāĻŋā§‹āĻŸā§āĻĄāĻ— āĻŽāĻĻāĻ–ā§‹āĻŸā§āĻ¨ā§‹āĻšāĻŸā§āĻŋāĨ¤
āĻĻāĻ˛ā§€ā§Ÿ āĻ•ā§‹āĻœāĻŋāĻƒ
īļā§§āĨ¤ āĻāĻ•āĻŸāĻŋāĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ…ā§āĻ‚āĻ•āĻ¨ āĻ•āĻ°āĻāĻŋāĻ‚ āĻāĻ° āĻĢāĻŋāĻĢāĻŋāĻ¤āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹āĻ° āĻĒāĻĢāĻ° ā§‹āĻĒ
āĻĢāĻ¨āĻŋāĻ—ā§Ÿ āĻ•āĻ°āĨ¤
īļā§¨āĨ¤ āĻāĻ•āĻŸāĻŋ āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ…ā§āĻ‚āĻ•āĻ¨ āĻ•āĻ° āĻāĻŋāĻ‚ āĻāĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŽāĻ•ā§‹āĻŋāĻĻā§āĻŦāĻŸā§ā§ŸāĻ° āĻĒāĻĢāĻ° ā§‹āĻĒ
āĻĢāĻ¨āĻŋāĻ—ā§Ÿ āĻ•āĻ°āĨ¤
āĻŽā§‚āĻ˛āĻ¯āĻžā§ŸāĻ¨āĻžāĻƒ
(āĻ•) āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ° āĻŋā§‹āĻ° āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻ•āĻ¤ āĻĢāĻĄāĻĢāĻŋ?
(āĻ–) āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ°āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻ•ā§Ÿ āĻ¸ āĻŸā§āĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ ā§‹āĻ¨?
(āĻ—) āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ•ā§‹āĻŸā§āĻ• āĻŋāĻŸā§āĻ˛? āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŋāĻĻā§āĻŦāĻŸā§ā§ŸāĻ°
āĻ¸ āĻĢā§ āĻ•āĻ¤?
āĻŦāĻžāĻŖāĻŋāĻ°ā§‡āĻžāĻŋāĻžāĻƒ
āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§: āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ° āĻŋā§‹āĻ°āĻŸāĻŋ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻŋā§‹āĻ° āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤
āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§¨: āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŋā§‹āĻšā§ āĻ“ āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹ āĻĒāĻ°āĻ¸ā§āĻĒāĻ°
āĻ¸ ā§‹āĻ¨āĨ¤
āĻĒā§‹āĻ  āĻ¸ ā§‹āĻĢāĻŋ
ā§‡āĻŦāĻžāĻ‡āĻ¸ā§‡ āĻ§āĻ¨āĻ¯āĻŦāĻžāĻĻ

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Class 01(geometry)

  • 2. āĻŽ ā§‹āĻšā§‹āĻŽā§āĻŽāĻĻ āĻ°āĻĢāĻŋāĻ•ā§āĻ˛āĻ‡āĻ¸āĻ˛ā§‹ āĻĒā§āĻ°āĻ­ā§‹āĻˇāĻ• āĻ—āĻĢāĻŋāĻ¤ āĻĢāĻŋāĻ­ā§‹āĻ— āĻŽ āĻŸā§āĻ°ā§‹āĻĒāĻĢāĻ˛āĻŸāĻ¨āĻ¸ā§āĻ•ā§ āĻ˛āĻ…ā§āĻ¯ā§‹āĻ¨ā§āĻĄ āĻ•āĻŸā§āĻ˛āĻœ āĻŽā§‡āĻĢāĻŋāĻŋāĻƒāĻ…ā§ā§ āĻĢāĻŋāĻˇā§ŸāĻŋāĻƒ āĻ—āĻĢāĻŋāĻ¤ āĻ…ā§āĻ§ā§āĻ¯ā§‹ā§ŸāĻŋāĻƒāĻ…ā§ā§ āĻ•ā§āĻ˛ā§‹āĻ¸āĻŋāĻƒ01 āĻĒāĻĢāĻ°āĻĢāĻŋāĻĢāĻ¤
  • 3.
  • 4.
  • 5. āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ†ā§ŸāĻ¤ āĻ°āĻŽā§āĻŦāĻ¸ āĻŋāĻ—āĻ— āĻ°ā§‹āĻĢāĻĒāĻĢāĻœā§Ÿā§‹ āĻ˜ā§āĻĢāĻŋ
  • 6. āĻĒāĻžāĻ  āĻ˜ āĻžāĻˇāĻŋāĻžāĻžāĻƒ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ¸āĻ‚āĻ•ā§āĻ°ā§‹āĻ¨ā§āĻ¤āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯ A CD B
  • 7. āĻŖāĻŋāĻ–āĻ¨āĻĢāĻ˛āĻžāĻƒ īƒ˜ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ°āĻ§ā§ āĻ—ā§‹āĻŋāĻĢāĻ˛ āĻ¯ā§‹āĻŋā§‹āĻ‡ āĻ“ āĻ¯ā§āĻĢāĻŋ ā§‚āĻ˛āĻ• āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤ īƒ˜ āĻĒā§āĻ°āĻĻāĻ¤ā§āĻ¤āĻ‰āĻĒā§‹āĻ¤ā§āĻ¤ āĻšāĻŸā§āĻ¤āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ†āĻāĻ•āĻŸā§āĻ¤āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤ īƒ˜ āĻĢāĻŋāĻ­ā§ āĻœāĻ¸ā§‚āĻŸā§āĻŋāĻ° āĻ¸ā§‹āĻšā§‹āĻŸā§āĻ¯āĻ¯ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻŽā§‡āĻŸā§āĻŋāĻ° āĻŽā§‡āĻŋāĻŋāĻ˛ āĻĒāĻĢāĻ° ā§‹āĻĒ āĻ•āĻ°āĻŸā§āĻ¤ āĻĒā§‹āĻ°āĻŸā§āĻŋāĨ¤ āĻāĻ‡ āĻĒāĻžāĻ  āĻ˜āĻŋāĻ¸āĻˇ āĻŖāĻŋāĻ•ā§āĻˇāĻžāĻ°ā§āĻĨā§€āĻ°āĻž ...
  • 8. āĻĒā§‹āĻ āĻĻā§‹āĻ¨āĻŋāĻƒ-āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§āĻ“ ā§¨ āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§: āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ°āĻŋā§‹āĻ°āĻŸāĻŋāĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§āĻŋā§‹āĻ° āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤ A C D B āĻĢāĻŋāĻŸā§ā§‡āĻˇāĻĢāĻ¨āĻŋāĻ—āĻŋāĻ¨: āĻŸā§āĻ¨ āĻ•āĻĢāĻ°, ABCDāĻāĻ•āĻŸāĻŋ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻāĻŋāĻ‚ ACāĻāĻ° āĻāĻ•āĻŸāĻŋ āĻ•āĻŋāĻ—āĨ¤ āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻšāĻŸā§āĻŋ āĻŽāĻ¯ , āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤ āĻ…ā§āĻ™ā§āĻ•āĻ¨:AāĻ“ B āĻŽāĻ¯ā§‹āĻ— āĻ•āĻĢāĻ°āĨ¤ ACāĻ•āĻŋāĻ—āĻŸāĻŋ āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœāĻŸāĻŋāĻŸā§āĻ• āĻ“ āĻĻā§āĻ‡āĻŸāĻŋāĻĢāĻŋāĻ­ā§ āĻŸā§āĻœ āĻĢāĻŋāĻ­āĻŋ āĻ•āĻŸā§āĻ°āĻŸā§ā§‡āĨ¤ 4ī€Ŋīƒī€Ģīƒī€Ģīƒī€Ģīƒ DCBA ABCī„ ADCī„
  • 9. A CD B [ āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻŽāĻ¯ā§‹āĻ—āĻŋāĻ˛] [ āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻŽāĻ¯ā§‹āĻ—āĻŋāĻ˛] āĻĒā§āĻ° ā§‹āĻŋāĻŋāĻƒ 2ī€Ŋīƒī€Ģīƒī€Ģīƒ BACBBAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ 2ī€Ŋīƒī€Ģīƒī€Ģīƒ DACDDAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ ī€Ģīƒī€Ģīƒī€Ģīƒ BACBBAC )22( ī€Ģī€Ŋīƒī€Ģīƒī€Ģīƒ DACDDAC āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ ABACDAC īƒī€Ŋīƒī€Ģīƒ āĻāĻŋāĻ‚ CACBACD īƒī€Ŋīƒī€Ģīƒ āĻ¸ā§āĻ¤āĻ°ā§‹āĻ‚, 4ī€Ŋīƒī€Ģīƒī€Ģīƒī€Ģīƒ DCBA āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ [āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ° āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻ¸ āĻĢā§2 āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ] [āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ° āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ°āĻ¸ āĻĢā§2 āĻ¸ āĻŸā§āĻ•ā§‹āĻŋ] [ (ā§§)āĻ“ (ā§¨)āĻŽā§‡āĻŸā§āĻ•] [ (ā§Š)āĻŽā§‡āĻŸā§āĻ•]
  • 10. āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§¨: āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŋā§‹āĻšā§ āĻ“āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹ āĻĒāĻ°āĻ¸ā§āĻĒāĻ° āĻ¸ ā§‹āĻ¨āĨ¤ A CD B āĻĢāĻŋāĻŸā§ā§‡āĻˇāĻĢāĻ¨āĻŋāĻ—āĻŋāĻ¨: āĻŸā§āĻ¨ āĻ•āĻĢāĻ°, ABCDāĻāĻ•āĻŸāĻŋ āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻāĻŋāĻ‚ ACāĻ“ BD āĻ¤ā§‹āĻ° āĻĻā§āĻ‡āĻŸāĻŋ āĻ•āĻŋāĻ—āĨ¤ āĻĒā§āĻ° ā§‹āĻŋ āĻ•āĻ°āĻŸā§āĻ¤ āĻšāĻŸā§āĻŋ āĻŽāĻ¯, (āĻ•) ABāĻŋā§‹āĻšā§ = CD āĻŋā§‹āĻšā§, ADāĻŋā§‹āĻšā§ = BC āĻŋā§‹āĻšā§ (āĻ–) ADCABCBCDBAD īƒī€Ŋīƒīƒī€Ŋīƒ , āĻĒā§āĻ° ā§‹āĻŋ:āĻĢāĻŋāĻ¸ā§āĻ¤ā§‹āĻĢāĻ°āĻ¤āĻ†āĻŸā§āĻ˛ā§‹āĻŋāĻ¨ā§‹ āĻ•āĻŸā§āĻ° āĻĒā§āĻ° ā§‹āĻŋ āĻ…ā§āĻ‚ā§‡ āĻŽāĻŋā§‹āĻŸā§āĻĄāĻ— āĻŽāĻĻāĻ–ā§‹āĻŸā§āĻ¨ā§‹āĻšāĻŸā§āĻŋāĨ¤
  • 11. āĻĻāĻ˛ā§€ā§Ÿ āĻ•ā§‹āĻœāĻŋāĻƒ īļā§§āĨ¤ āĻāĻ•āĻŸāĻŋāĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻœ āĻ…ā§āĻ‚āĻ•āĻ¨ āĻ•āĻ°āĻāĻŋāĻ‚ āĻāĻ° āĻĢāĻŋāĻĢāĻŋāĻ¤āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹āĻ° āĻĒāĻĢāĻ° ā§‹āĻĒ āĻĢāĻ¨āĻŋāĻ—ā§Ÿ āĻ•āĻ°āĨ¤ īļā§¨āĨ¤ āĻāĻ•āĻŸāĻŋ āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ…ā§āĻ‚āĻ•āĻ¨ āĻ•āĻ° āĻāĻŋāĻ‚ āĻāĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŽāĻ•ā§‹āĻŋāĻĻā§āĻŦāĻŸā§ā§ŸāĻ° āĻĒāĻĢāĻ° ā§‹āĻĒ āĻĢāĻ¨āĻŋāĻ—ā§Ÿ āĻ•āĻ°āĨ¤
  • 12. āĻŽā§‚āĻ˛āĻ¯āĻžā§ŸāĻ¨āĻžāĻƒ (āĻ•) āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ° āĻŋā§‹āĻ° āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻ•āĻ¤ āĻĢāĻĄāĻĢāĻŋ? (āĻ–) āĻĢāĻŋāĻ­ā§ āĻŸā§āĻœāĻ°āĻĢāĻ¤āĻ¨ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻ•ā§Ÿ āĻ¸ āĻŸā§āĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ ā§‹āĻ¨? (āĻ—) āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻ• āĻ•ā§‹āĻŸā§āĻ• āĻŋāĻŸā§āĻ˛? āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻ¸āĻĢāĻŋāĻĢāĻšāĻ¤ āĻŽāĻ•ā§‹āĻŋāĻĻā§āĻŦāĻŸā§ā§ŸāĻ° āĻ¸ āĻĢā§ āĻ•āĻ¤?
  • 13. āĻŦāĻžāĻŖāĻŋāĻ°ā§‡āĻžāĻŋāĻžāĻƒ āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§§: āĻŋāĻ¤ā§ āĻ­ā§āĻ— āĻŸā§āĻœāĻ° āĻŋā§‹āĻ°āĻŸāĻŋ āĻŽāĻ•ā§‹āĻŸā§āĻŋāĻ° āĻ¸ āĻĢā§ āĻŋā§‹āĻ° āĻ¸ āĻŸā§āĻ•ā§‹āĻŋāĨ¤ āĻ‰āĻĒāĻĒā§‹āĻĻāĻ¯-ā§¨: āĻ¸ā§‹ ā§‹āĻ¨ā§āĻ¤āĻĢāĻ°āĻŸā§āĻ•āĻ° āĻĢāĻŋāĻĒāĻ°ā§€āĻ¤ āĻŋā§‹āĻšā§ āĻ“ āĻŽāĻ•ā§‹āĻŋāĻ—ā§āĻŸā§āĻ˛ā§‹ āĻĒāĻ°āĻ¸ā§āĻĒāĻ° āĻ¸ ā§‹āĻ¨āĨ¤