To clear up some things, I have made a partial answer here.
While it is old, you shouldn't discount the observations made by scientists from the 1800's. Many great scientists from this period laid the foundations for science as we know it now. These include names such as Charles Darwin, Alfred Wallace, Robert Koch, Gregor Mendel, and Louis Pasteur, to name a few well known biologists, whom no-one would think to doubt. Scientists in the 1800s were certainly exact in their measurements, observations and records, and I don't doubt that the observations that they made were exactly what they claimed they were.
To this end, I had a look at Goltz's 1869 book1 (PDF here) in the original German, and put it through Google translate ('cause I don't read German well enough to follow at this level) at the relevant point. Fortunately the PDF linked is text-selectable, so I was able to copy this directly and edit some minor misinterpretations from the paste. Google translate is pretty good for German and German has not changed significantly since the 1800's I believe.
Here's the bits I copied from pages 127 and 128 (you can see the errors at line-ends and in special characters, and where some bits can't be recognized as they are in the spine end of the text):
Von drei gleichzeitig gefangenen, gleich grossen und reiz-
:en Fröschen schneide ich zweien mit der glühenden Platin-
linge des galvanokaustischen Apparats die Köpfe ab. Dem
tten sonst unversehrten blende ich die Augen, um unnütze will-
1 liehe Bewegungen desselben möglichst auszuschliessen. Darauf
ce ich den zuletzt geköpften Frosch in ein weites blechernes
iäss, dessen Boden mit mehreren Schichten Leinwand bekleidet
und bringe ihn sogleich in die hockende Stellung, welche
hirnte Frösche immer annehmen und dann nicht wieder von
')St verlassen. Das Gefäss fülle ich jetzt so weit mit Wasser,
'S nur ein kleiner Theil des Thieres daraus hervorragt. Zu
1 Enthaupteten setze ich dann den geblendeten Frosch, wel-
r sich alsbald ebenfalls in hockender Stellung niederlässt und
iangslos verharrt. Den zweiten Geköpften behalte ich in der
le des Gefässes unter Augen. Jetzt fange ich an das Gefäss 128 Ueber den Sitz der Seele dea Frosches und
zu erhitzen, die steigende Temperatur des Wassers an einem :
dasselbe eingesenkten Thermometer ablesend. Die Zimmertempi
ratur beträgt 17i”C.
Hat das Wasser aber erst die Temperatur von 25“ erlangt, li
verändert sich die Scene. Dem behirnten Frosch beginnt es uj
behaglich zu werden. Er verändert den Ort, steckt den Kot
weit zum Wasser hinaus, und fängt an, schneller zu athmen. j
höher die Temperatur steigt, desto ängstlicher werden seine B<
wegungen. Verzweiflungsvoll schwimmt das gequälte Thier ij
Behälter umher, bald den Kopf weit hinausstreckend und imm<
geschwinder nach Kühlung jappend, bald auf den Grund d<
Gefässes tauchend, um dort der Pein zu entrinnen. Die Hita
nähert sich gegen 38“. Das Thier macht verzweifelte Sprüng«
um aus dem Behälter zu entkommen. Es klimmt an den glatte
Wänden empor und muss in das heisse Wasser zurück gestosse
werden. Die immer geschwinder auf- und niederfliegenden Atb
mungsmuskeln erlahmen, die Athmung setzt aus. Immer wild^
werden die Schmerzensäusserungen, und endlich bei einer Teib
peratur von etwa 42“ verendet das gequälte Thier unter tetan^
sehen Krämpfen.
And the translation:
I cut off the heads of two of three frogs of the same size and attractiveness that were caught at the same time with the glowing platinum pieces of the galvanocaustic apparatus. To the
I blind the eyes of those who are otherwise undamaged in order to exclude useless voluntary movements as far as possible. Then I put the last decapitated frog in a wide tin vase, the floor of which was covered with several layers of canvas
and immediately bring him into the squatting position, which
brain frogs always accept and then not from again
')St leave. I fill the vessel with water now,
'S only a small part of the animal protrudes from it. to
I then place the blinded frog on the decapitated one, which soon also settles down in a crouching position and
fearless. I'll keep the second decapitated man in the
le of the vessel under the eyes. Now I start the container, the water has reached a temperature of about 25", both frogs sit still in the warm bath. On the decapitated one sees the movements of the thighs, so common in decapitated people: he might pull one thigh up a little more or straighten a zoe, movements such as those used outside of the bath
Lingering second decapitated also shows, which are therefore not dependent on the increasing temperature, and which incidentally will soon stopBut once the water has reached the temperature of 25", the scene changes. The brained frog begins to get uncomfortable. He changes the place, sticks the feces
far out to the water, and begins to breathe faster. j
the higher the temperature rises, the more anxious his movements become. The tormented animal ij swims in despair
container around, soon stretching out the head far and imm
Quickly yapping for coolness, soon to the bottom d
vessel to escape from the torment there. the hita
approaching around 38". The animal makes desperate leaps
to escape from the container. It climbs to the smooth
walls and has to be thrown back into the hot water
will. The respiratory muscles, which fly up and down faster and faster, become slack and breathing stops. Always wild
the expressions of pain become manifest, and finally at a body temperature of about 42" the tormented animal dies with tetanic convulsions.
You can see the bits, which the translator can't cope with - these are bits which didn't transcribe well, due to being in the spine of the book and not scanned properly. I also can't read these or even make a guess at what the proper word would be in many cases, though I have fixed those that I could. However, I think that the general text is largely fine to read and easy to interpret.
Basically, what Goltz did was attempt to study the nervous system and physiology of frogs. He did this by comparing decapitated or decerebrated frogs with intact ones (apart from blinded eyes, to exclude visual stimuli). He placed both of these in room temperature water and then heated it. When heated, the decapitated frogs did not show any reflex action and would sit still until dead unless stimulated by a different stimulus, which was some mild acetic acid applied to the back of the frog (bottom of page 128, not translated here). On the other hand, intact frogs would violently try to escape and would have to be placed back into the heated container, up to about 42 C, at which point they died.
Edited to add:
On page 130, there is a passage:
Behälter einen solchen, welchem ich das Gehirn mit einem qu
Schnitt dicht vor den Sehhügeln abgetrennt hatte. Zu ihm s*
ich einen geköpften Frosch, welchem ich die Hinterbeine i
oben geschilderten Weise verschränkt hatte. Beide Frösche bli!
ganz regungslos sitzen, bis die Temperatur des Wassers 32|'*
reicht hatte. Da machte der hirnbesitzende Frosch mit dem
eine Bewegung nach oben und fing an schneller zu athmen.
35“ machte er mit dem Körper eine kleine Wendung und sp
dann plötzlich mit einem kräftigen Satz aus dem Behälter hii
In’s Wasser zurückgebracht, machte er alsbald einen zweiten Sp>
aus dem Geföss. Ausserhalb desselben wiederholte er die Hi
bewegungen nie, sondern verharrte nach dem einen Satz, mit
ehern er das Bad verlassen hatte, in Ruhe. Nachdem er, i:
wieder in’s Bad zurückgebracht, im Ganzen sechs Sprünge g'
hatte, und das Wasser inzwischen allmälig eine Hitze von
erlangt hatte, starb er unter tetanischen Krämpfen. Während
ser Scenen hatte der Geköpfte mit verschränkten Füssen ruhi
gesessen. Bei 37?“ machte er die zuckenden Bewegungen, dij
aussahen, als wenn er die verschränkten Füsse auseinander bri
wollte. Bald wieder beruhigt, blieb er regungslos sitzen. Ui
Zeit, als der Behirnte in Krämpfe verfiel, begann bei dem ^
köpften die Wärmestarre der Muskeln. Ohne dass die v
schränkten Füsse sich lösten, wurden die Schenkel |
allmälig etwas nach hinten gestreckt, und das ganze Thier
hart und steif.
Translated:
Lately I have completed this experiment in the following way-
changes; Instead of the blinded frog, I put one in the container, which I pierced the brain with a qu
cut just before the brow mounds. To him a decapitated frog, whose hind legs i
entangled in the manner described above. Both frogs bli!
sit completely motionless until the temperature of the water is 32
had enough. Then the brain-possessing frog did that
a movement upwards and began to breathe faster.
35” he made a small turn with his body and sp
then suddenly with a powerful leap out of the container
Brought back into the water, he immediately made a second spat from the vessel. Outside of this he never repeated the hi movements, but after one set he stayed with
as soon as he had left the bath, in peace. After he had had six jumps in all when he was brought back into the bath, and the water was gradually getting hotter
he died from tetanic convulsions. While
The decapitated man had these scenes with crossed feet
sat. At 37?” he made the twitching movements that looked like he was breaking his crossed feet apart
wanted to. Soon calmed down, he sat motionless. wow
Time when the crippled went into convulsions began at the
beheaded the thermal rigidity of the muscles. Without the v
when feet broke loose, the thighs were gradually stretched back a little, and the whole animal
hard and stiff.
This is using frogs with their hind limbs crossed (and pinned?; see image page 103), so that they can no-longer swim properly and jump. The frog still gets out and is returned to water that is gradually getting hotter. Eventually it does not attempt to escape again. Note that the intact frog still tries to make movements and escape, just can't in the long run. I can only speculate on why it doesn't continue to try to escape, perhaps the water is too hot for proper function at this point, or perhaps it has learned that it can't escape, so gives up, which is a pretty sad conclusion to come to.
So, TL:DR - frogs try to escape when the water is too hot for them!
- Goltz F. 1869. Beitrāge zur lehre von de function der nervencentrum des frosches. Berlin.