Special sort querstion

Hello everyone,

the following query
SELECT id, start_lat, start_lng, end_lat, end_lng
FROM strecken
WHERE ST_Intersects(strecke, geomfromtext('POLYGON((
52.5204252 13.3169317,
52.5407887 13.3169317,
52.5407887 13.3534097,
52.5204252 13.3534097,
52.5204252 13.3169317
))')) ORDER BY id;
produces by coincidence the following desired result:

id    start_lat    start_lng    end_lat    end_lng
18074   52.5212087   13.3181119    52.5226187   13.3183479
18075   52.5226187   13.3183479    52.5237154   13.3189702
18076   52.5237154   13.3189702    52.5244204   13.3201289
18077   52.5244204   13.3201289    52.5248120   13.3217812
18095   52.5195701   13.3381855    52.5204710   13.3390224
18096   52.5204710   13.3390224    52.5213653   13.3393443
18097   52.5213653   13.3393443    52.5219529   13.3395588
18098   52.5219529   13.3395588    52.5223511   13.3400846
20293   52.5408279   13.3338833    52.5404625   13.3350205
20294   52.5404625   13.3350205    52.5395881   13.3385825
20295   52.5395881   13.3385825    52.5387398   13.3447623

Its desired because every single row end_lat and end_lng has the same 
value as the next row's start_lat and start_lng field (except last one).
I would like to achieve the same result without using id column inside 
"order by" clause. Is that possible? How would that query look like?