Whakaoti mō h (complex solution)
h\in \mathrm{C}
Whakaoti mō r (complex solution)
r\in \mathrm{C}
Whakaoti mō h
h\in \mathrm{R}
Whakaoti mō r
r\in \mathrm{R}
Tohaina
Kua tāruatia ki te papatopenga
2\pi rh+2\pi r^{2}=2\pi rh+2\pi r^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2\pi r ki te h+r.
2\pi rh+2\pi r^{2}-2\pi rh=2\pi r^{2}
Tangohia te 2\pi rh mai i ngā taha e rua.
2\pi r^{2}=2\pi r^{2}
Pahekotia te 2\pi rh me -2\pi rh, ka 0.
r^{2}=r^{2}
Me whakakore te 2\pi ki ngā taha e rua.
\text{true}
Whakaraupapatia anō ngā kīanga tau.
h\in \mathrm{C}
He pono tēnei mō tētahi h ahakoa.
2\pi rh+2\pi r^{2}=2\pi rh+2\pi r^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2\pi r ki te h+r.
2\pi rh+2\pi r^{2}-2\pi rh=2\pi r^{2}
Tangohia te 2\pi rh mai i ngā taha e rua.
2\pi r^{2}=2\pi r^{2}
Pahekotia te 2\pi rh me -2\pi rh, ka 0.
2\pi r^{2}-2\pi r^{2}=0
Tangohia te 2\pi r^{2} mai i ngā taha e rua.
0=0
Pahekotia te 2\pi r^{2} me -2\pi r^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
r\in \mathrm{C}
He pono tēnei mō tētahi r ahakoa.
2\pi rh+2\pi r^{2}=2\pi rh+2\pi r^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2\pi r ki te h+r.
2\pi rh+2\pi r^{2}-2\pi rh=2\pi r^{2}
Tangohia te 2\pi rh mai i ngā taha e rua.
2\pi r^{2}=2\pi r^{2}
Pahekotia te 2\pi rh me -2\pi rh, ka 0.
r^{2}=r^{2}
Me whakakore te 2\pi ki ngā taha e rua.
\text{true}
Whakaraupapatia anō ngā kīanga tau.
h\in \mathrm{R}
He pono tēnei mō tētahi h ahakoa.
2\pi rh+2\pi r^{2}=2\pi rh+2\pi r^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te 2\pi r ki te h+r.
2\pi rh+2\pi r^{2}-2\pi rh=2\pi r^{2}
Tangohia te 2\pi rh mai i ngā taha e rua.
2\pi r^{2}=2\pi r^{2}
Pahekotia te 2\pi rh me -2\pi rh, ka 0.
2\pi r^{2}-2\pi r^{2}=0
Tangohia te 2\pi r^{2} mai i ngā taha e rua.
0=0
Pahekotia te 2\pi r^{2} me -2\pi r^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
r\in \mathrm{R}
He pono tēnei mō tētahi r ahakoa.
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