Labari game da Daidaito na ruwan tabarau masu bambanta (concave)
Kafin a samar da lissafin ruwan tabarau mai siffar concave, da farko an fahimci ƙa'idodin alamun ruwan tabarau mai siffar concave.
Dokokin alamar ruwan tabarau mai lanƙwasa
Ga ƙa'idodin alamun ruwan tabarau mai lanƙwasa.
– Nisa tsakanin abu (yi)
Idan abin yana gefen ruwan tabarau daidai yake da alkiblar hasken, to nisan abin yana da kyau.
– Nisa ta hoton (di)
Idan hasken ya wuce hoton, to nisan hoton yana da kyau (ainihin hoto). Idan hoton bai wuce ta hasken ba, nisan hoton yana da kyau (asali hoton).
– Tsawon mai da hankali (f)
Idan aka wuce wurin da ruwan tabarau ke haskakawa ta cikin hasken haske, tsawon ruwan tabarau yana da kyau. Akasin haka, idan hasken bai wuce wurin da ruwan tabarau ke haskakawa ba, tsawon ruwan tabarau yana da kyau. Haske ba ya wuce wurin da ruwan tabarau ke haskakawa, don haka tsawon wurin da ruwan tabarau ke haskakawa yana da kyau.
– Tsayin abin (ho)
Idan abu yana sama da babban axis, tsayin abu an sanya masa alama mai kyau (abu yana tsaye). Akasin haka, idan abu yana ƙasa da babban axis, tsayin abu mara kyau ne (abu an juya shi).
– Tsayin hoton (hi)
Idan hoton yana sama da babban ginshiƙi, tsayin hoton yana da kyau (hoton yana tsaye). Idan hoton yana ƙasa da babban ginshiƙi, tsayin hoton yana da kyau (hoton yana juyawa).
- Girman hoto (m)
Idan girman hoto > 1, to girman hoton ya fi girman abu. Idan girman hoton = 1, to girman hoton yayi daidai da girman abu. Idan girman hoton < 1, girman hoton ya fi girman abu.
Daidaiton ruwan tabarau mai siffar concave
Bisa ga hoton da ke ƙasa, an zana haske guda biyu zuwa ga ruwan tabarau mai siffar ƙwallo, kuma ruwan tabarau mai siffar ƙwallo yana karkatar da hasken.
s = yi = nisan abu, s' = di = nisan hoton, h = P P' = tsayin abu, h' = Q Q' = tsayin hoton, F 1 da F 2 = wurin da aka fi mayar da hankali a kan ruwan tabarau mai lanƙwasa.
Alwatika na P'AP yayi kama da alwatika na Q'AQ. Saboda haka:
Alwatika na BF 2 A yayi kama da alwatika na Q'F 2 Q, inda nisan AB = tsayin abu (h) da nisan F 2 A = tsayin mai da hankali (f) na ruwan tabarau mai lanƙwasa. Saboda haka:
Dangane da ƙa'idodin alamun ruwan tabarau mai lanƙwasa, ana iya canza wannan lissafin zuwa kamar lissafin madubi mai lanƙwasa,
idan an ba da nisa na hoton (di) alama mara kyau saboda hasken bai wuce hoton ba
kuma ana ba wa tsawon mai da hankali (f) alama mara kyau saboda hasken ba ya wuce wurin mai da hankali na ruwan tabarau mai da hankali (idan aka kwatanta da siffar siffar hoton da ke sama). A cewar wannan bayanin, daidaiton ruwan tabarau mai da hankali yana canzawa zuwa:
do = nisan abu, di = nisan hoton, f = tsawon mai da hankali
Girman hoto (m)
Ka lura da siffar siffar hoton da ke sama. Alwatikan P'AP da Q'AQ iri ɗaya ne don mu iya gano alaƙar da ke tsakanin nisan abu da nisan hoton tare da tsayin abu da tsayin hoton:
An sake rubuta wannan lissafi kamar haka a ƙasa ta hanyar ƙara m:
m = girman hoton
ho = tsayin abu (tabbatacce idan yana sama da babban ginshiƙi ko kuma abin yana tsaye)
hi = tsayin hoton (tabbatacce idan yana sama da babban ginshiƙi ko kuma hoton yana tsaye)
do = nisan abu (positive idan hasken ya ratsa ta cikin abu)
di = nisan hoton (tabbatacce idan hasken ya ratsa hoton ko kuma hoton gaskiya ne)
