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(As before, the puzzle only makes sense/has a unique answer as a whole, but "easy ins" have been strategically placed.). Please explain every line rather than just the final 3 answers.

I and no other
Hesitate briefly
As I study the arc's end
Or the curve's beginning
For you are
Desolate and unwatered, unstarted,
Hot and small, yet a place of commerce.

It is half love,
But a dash
Unlucky, reversing and cutting short
You and I,
Trapped on this place of beauty.

The sea has no beginning
For it is noble
Like art, without a
Path, half lost,
Covering this rocky place.

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1 Answer 1

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These paragraphs clue:

the three 'adjacent' planets: MERCURY, VENUS and EARTH.

In each instance the last line is a definition of sorts and the other lines each represent two consecutive characters from the name (either by definition or cryptic clue-style wordplay), which when overlapped together spell out the names we seek.

Riddle 1:

I and no other

ME

Hesitate briefly

ER...

As I study the arc's end

(-a)RC

Or the curve's beginning

CU(-rve)

For you are

UR

Desolate and unwatered, unstarted,

(-d)RY

Hot and small, yet a place of commerce.

MERCURY is a hot but small planet. There are also various companies that go by the name of 'Mercury' (including one actually called 'Mercury Commerce'...).

Riddle 2:

It is half love,

(-lo)VE

But a dash

EN (the 'en dash' in punctuation)

Unlucky, reversing and cutting short

NU from UN(-lucky)<

You and I,

US

Trapped on this place of beauty.

The planet VENUS is named after the Roman goddess of love and beauty.

Riddle 3:

The sea has no beginning

(-s)EA

For it is noble

Ar, the Periodic Table symbol for the noble gas, argon.

Like art, without a

(-a)RT

Path, half lost,

(-pa)TH

Covering this rocky place.

EARTH is a rocky planet!

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