Orientation preserving homeomorphism between half disk and waxing moon-shaped surface

I need to prove that the connected sum of two orientable (top.) manifolds is orientable. To do so, I need to find an atlas for the connected sum, and to find it, I need to provide an explicit orientation preserving homeomorphism between half closed disk and waxing moon-shaped surface (see figure)

enter image description here
enter image description here

Obviously they are homeo, but I cannot find an explicit homeo between the two, I find some problems even in finding a kind of parametrisation of the waxing-moon surface.

I tried with cartesian and polar coordinate, but once I found two separate parametrisations for the arcs, I do not know how to combine them in an unique parametrisation

Can somebody provide any hints?

addendum the upper arc of the waxing moon is a circular arc

enter image description here
enter image description here

Leave a comment

Please note, comments need to be approved before they are published.

  • Comments
  • DISQUS
    1 out of ...

    You May Also Like

    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024

    1

    13

    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024
    Ulike Air 10&Ulike Coupons in November 2024

    Ulike Air 10&Ulike Coupons in November 2024

    $319.00
    $399.00

    1343 reviews

    96% Hair Reduction in 2 Weeks

    90-Day 100% Money Back Guarantee

    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X

    1

    3

    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X
    Ulike X

    Ulike X

    $349.00
    $429.00

    292 reviews

    94% Hair Reduction fo Man in 2 Weeks

    90-Day 100% Money Back Guarantee

    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.

    1

    31

    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.
    Ulike Sapphire Air3 IPL Hair Removal Handset.

    Ulike Sapphire Air3 IPL Hair Removal Handset

    $239.00
    $329.00

    6352 reviews

    90% Hair Reduction in 4 Weeks

    90-Day 100% Money Back Guarantee

    Is Ulike IPL right for you?

    Is Ulike IPL right for you?

    Oct 31, 2024
    by
    LeeJim

    The best IPL hair removal device in 2024

    Top IPL Hair Removal Devices of 2024

    Oct 21, 2024
    by
    Brandy Williams

    Explore the top IPL hair removal devices in 2024 with insights and expert reviews to choose the best option for you.