 Solution

ID: past-exam-of-the-geometry-course-of-the-university-of-oxford/2011/5/c/solution

Compose the preceding transformations, applying

σ_{λ}

first and then

τ_{1/ λ}

. With the square-root convention already specified,

υ_{λ} [x : y : z] = [z - x / λ : i y / (λ s) : z], s^{2} = λ .

[0 : 1 : 0]

and carries

C_{λ}

C_{1 - 1/ λ}

. It is important to retain the sign of the chosen lift on the

y

coordinate when computing its order later.

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