Report on the local Land Survey.

First Section.

This survey is, as is proper, founded upon trigonometric observations combined with astronomical ones.

The method employed in this context is similar to that described by Mr. Justice Councillor and Professor Bugge in Copenhagen, in his work published in the Danish language in the year 1779, of which a German translation appeared last year under the following title:

Mr. Thomas Bugge, Royal Danish Justice Councillor, Professor of Mathematics and Astronomy at the University of Copenhagen and of the Royal Navy; member of the Academies of Sciences in Stockholm, Copenhagen, Mannheim, and Drontheim: Description of the Surveying Method employed in the Danish Geographical Maps. With copper engravings. Dresden 1787.

The editor of this translation is Mr. Friedrich Ludwig Aster, Electoral Saxon Engineer Major; the translator is Mr. Johan Friedrich Marcus.

The procedure described by Mr. Bugge corresponds to that outlined by Mr. Cassini de Thury in his Description Géographique de la France, Paris 1783.

The procedure adopted as a model in Denmark gave me occasion to enter into correspondence with the aforementioned Mr. Justice Councillor Bugge, and further occasion for the Royal Land Surveyor Mr. Caspar Wessel to be assigned to us for a time, upon the request of His Serene Highness the late Bishop and Duke Friedrich August to His Majesty the King of Denmark. Mr. Wessel was already most favorably known to us from the early maps of Denmark prepared by him, which were published under the supervision of the Royal Society of Sciences, and who, during the years 1782 to 1785, proved himself here to be an excellent man through his masterly and exemplary execution of his duties.

By means of the astronomical observations conducted in the temporary observatory erected for his service upon the local rampart, Mr. Wessel determined the latitude (pole height) of the observatory, drew and defined its meridian line by means of two points on the ground located approximately a quarter of a mile apart, determined the inclination of the sides of the triangle system closest to the observatory in relation to this meridian, and established the longitude of the observatory by observing the lunar eclipse of the 10th to 11th September 1783. Since the winter nights in our Oldenburg, situated too near the sea, are seldom clear enough — and even when they appear otherwise bright, a fog bank of 30 degrees or more often lies along the horizon — few of the observations which Mr. Wessel laboriously attempted to carry out, such as the occultations of fixed stars by the moon, could be successfully completed.

The meridian line, drawn immovably on the ground, now serves us — by means of a beautifully and precisely constructed horizontal sundial — as a regulator for our city clocks, should we choose to make use of it.

Since the late Duke Friedrich August, in addition to commissioning a map of the land, had also ordered the preparation of a special chart of the Weser river, with both banks included, and as we, in order to properly capture the width of the river’s mouth, had already extended the triangulation from Bremen along the Weser — with permission from the Royal and Electoral Government in Stade, and in such a way that the points were taken alternately from one bank to the other — down to the land of Wursten below Bremerlehe: it was further decided that this triangulation should be continued down to the headland near Ritzebüttel, and from there up the Elbe to Freyburg and Hammelwörden, opposite Glückstadt.

At the same time, upon requisition by our Duke, the Royal Danish authorities ordered and carried out the continuation of the triangulation that had been drawn from Copenhagen through the islands to Jutland and thence southward — which had, at that time, reached as far as Husum — to extend it further to the Elbe near Glückstadt. For this, Mr. Skanke, a colleague of Mr. Wessel, was employed. As proof of the reliability of the operations of these two gentlemen, the exact agreement of their determinations of the distances between the places where they met — one coming from the south, the other from the north, each proceeding through a long chain of triangles, each guided solely by the sequence of their calculations — can serve. I shall only repeat the example given at the bottom of page 166 in the German translation of Mr. Bugge’s treatise, namely, the distance between Marne and St. Margareten, which according to Mr. Skanke measures 55,732.4 feet, and according to Mr. Wessel 55,771 feet, so that the excess of the latter measurement amounts to not quite 1/1000 of the former.

This connection of our triangulation system with the Danish one now enables us to have before us a chain of triangles extending from Copenhagen, across the islands of Zealand and Funen to Jutland, then through the Danish peninsula to the Elbe, from there along the Elbe to the promontory that juts out between the mouths of the Elbe and the Weser at Ritzebüttel, from there along the Weser to Bremen, and finally from there to Wildeshausen and to the border of the Prince-Bishopric of Münster. And since the geographical latitude and longitude of Copenhagen are without doubt precisely determined, and we now know for each point within this chain of triangles the exact geometric distance from Copenhagen to the west and south, the geographical latitude and longitude of each of these points can thus also be derived.

By this means, astronomical determinations — particularly of longitude — made at locations where no permanently staffed observatory exists, and which therefore cannot be regarded as fully reliable, can be verified and corrected. For instance, the longitude of Oldenburg, which Mr. Wessel had determined from the aforementioned lunar eclipse observation in September 1783 to be 23° 14′ 11″ in time, corresponding to 5° 48′ 13″ east of Paris, turns out — according to the derivation from Copenhagen — to be 5° 53′ 41″.

If this example, set by our sovereign authority and, to my knowledge, the first of its kind in Germany, were to inspire imitation, and if several such triangulation chains were drawn from places furnished with well-equipped and well-staffed observatories — for instance, from Berlin to Holstein for connection with the Danish triangulation system, from Berlin to Göttingen, from Göttingen to the Oldenburg border for combination with the Oldenburg system, from Göttingen to Mannheim, and so forth — then a long-expressed wish of eminent mathematicians would be fulfilled, and the best possible foundation for the geography of Germany would be laid.

This extension of our triangulation system also serves to provide precise determinations of locations whose position is crucial for navigation — the mouths of the Elbe and Weser, those gateways to Germany, the Bremer beacon north of Budjadingen, Neuwerk with Skaarhörne off the aforementioned headland, and many others — all have now received accurate positions. To this end, another expansion toward the west was undertaken in the past year, as our present governing state administrator graciously ordered that the bay known as the Jahde, entering between Budjadingen, Jever, and East Frisia, together with the island of Wangerooge, upon which stands a lighthouse maintained from here, should likewise be charted, in the same manner as the chart of the Weser. Thus, as a foundation for this work, a triangulation chain had to be drawn along the Jever coast to Carolinensiel in East Frisia, including Wangerooge, which was executed by one of our geodesists, Mr. Behrens, with an accuracy confirmed by several rigorous trials, including agreement with Mr. Wessel’s operations.

Now that Mr. Wessel’s preliminary work is being employed by the Hamburg authorities — not only for surveying the district of Ritzebüttel but also the coast and shore of the Lower Elbe and its mouth — and from our side the coastline from the East Frisian border, including Wangerooge, along the Jever shore, around the Jahde Bay and Budjadingen, extending into the Duchy of Bremen and to Ritzebüttel: from this will arise a correction of the utmost importance for navigation along the German coastline bordering the North Sea. The island of Helgoland may also be included, as it has been observed from Wangerooge; and if one considers the triangle HWN, formed by the three islands Helgoland, Wangerooge, and Neuwerk, then we from the Oldenburg side can contribute the angle HWN, being 69° 29′ 31″, and the side WN measuring 140,962 feet, and the skilled Hamburg surveyor Mr. Reinke will hopefully supply the remaining data.

These corrections are then incidental results of our local land survey, and of the mild and magnanimous disposition of our sovereign authority.

I hereby conclude this first section of the present report on our land survey with the following table of the latitude and longitude of certain places, which also appears on page 166 of the German translation of Mr. Bugge’s book, but which, in regard to the names, is to be amended in accordance with the following; to which I also add Wangerooge.

Names of the Places Longitude from the Island of Ferri Latitude.
Observatorium zu Paris 20. 00. 00. --
Observat. zu Copenhagen 30. 14. 51. 55. 41. 04.
Observat. zu Oldenburg 25. 53. 41. 53. 08. 40.
Bremen. Ansgarii Kirche 26. 28. 55. 53. 05. 11.
Bardewischer Kirche 26. 15. 16. --
Wildeshausen. Die Kirche 26. 07. 00. 52. 54. 26.
Delmenhorst. Die Kirche 26. 18. 34. 53. 03. 29.
Brake. Die Mühle 26. 09. 34. 53. 20. 16.
Stickhausen in Ostfriesland. Der Turm 25. 19. 27. 53. 13. 33.
Jever. Der Schlossthurm 25. 35. 00. 53. 34. 45.
Langwarden. Die Kirche 25. 59. 15. 53. 36. 39.
Varel. Der größte Kirchthurm 25. 48. 59. 53. 24. 17.
Bremer Bake 25. 55. 24. 53. 43. 08.
Bremerlehe. Die Kirche 26. 16. 18. 53. 34. 26.
Neuwerk. Der runde Thurm 26. 10. 30. 53. 55. 19.
Ritzebüttel. Das Schloß 26. 22. 37. 53. 51. 50.
Glückstadt. Der höchste Thurm 27. 06. 08. 53. 47. 42.
Marne. Die Kirche 26. 41. 23. 53. 57. 36.
Wangerooge. Der Feuerthurm 25. 32. 20. 53. 48. 03.

Info: Ferri is longitude 0, with the Paris Observatory at 20° 00' 00". See Wikipedia here.

Third Section.

A national land survey must, as has been said, be founded upon trigonometric observations. Just as it is impossible to compose a faithful portrait from images of individual parts of the human face, so too can no precise and accurate map of a country of any considerable size be constructed from charts of small districts or field maps. The procedure must begin and proceed from the whole to the parts, from the larger to the smaller, down to the finest desired detail.

When, through trigonometric operations, the positions of points carefully selected and distributed across the expanse of the entire territory have been determined — in relation to the cardinal directions and to one another, as well as their mutual distances — the whole then acquires its proper form, and the arrangement of the parts results from reference to these reliable points. The triangulated network spread across the land is like the skeleton of the human body; the filling out of this network by means of geodetic work corresponds to the clothing of the skeleton with flesh and skin. The work of the geodesists — however many there may be, and however usefully employed — whether they proceed from the interior toward the borders, or from the borders inward, will fit together; and their maps of the various surveyed parts of the country will, where they meet, coincide correctly, without overlapping or leaving gaps between them.

The angle measurements in the trigonometric operations — both those of Mr. Wessel and of Mr. Behrens — were conducted using an "astronomical?" instrument (a detailed description of which may be found in Mr. Bugge’s treatise) with a diameter of two "Rhenish?" feet. A skilled observer can measure an angle with this instrument to within ¼ of a minute, or even 8–10 seconds; and it was rare for the correction of all three angles in a triangle to exceed 30 seconds. The measure of one angle is the result of eight distinct observations, and since the instrument's circle bears a double division of the limb, the result is in fact the mean of 16 readings.

We later found that it is also possible, by means of the mensula, to determine an angle fairly accurately from the half-chord with respect to a given radius, provided that the mensula apparatus is equipped with a diopter rule and a telescope that can be affixed to diopters cut for this purpose; and if the station point on the mensula is positioned such that the sight lines enclosing the angle may be extended as far as possible, and the radius made as long as possible. Even in that case, the correction for all three angles has seldom exceeded 30 seconds. The reason for undertaking this experiment will be explained in the third section.

As the entire country is a vast plain, and although it does not contain many true natural forests, it is nonetheless dotted with many planted groves around villages and individual houses, which greatly obstruct the view, it has not been possible to construct large triangles. The trigonometrist would certainly prefer larger triangles; yet here, necessity has indeed been turned into virtue, for the greater number of trigonometric points resulting from the small meshes of the triangulation network provide the geodesist with a correspondingly large number of control points — so that a mensula sheet, at a scale of 1 inch to 2000 feet, will always encompass two or more trigonometric points.

Since it is necessary in each triangle that all three angles be measured, all trigonometric points must be so chosen that one may take station there and erect the geodetic instrument. It is thus evident that buildings, churches, mills, and other such objects are not suitable for this purpose; rather, all these trigonometric points are, in a sense, ideal points, marked by numbered stakes.

To ensure the preservation of these ideal points for use in geodetic work, the following provisions have been made. First, the stakes themselves are of a durable nature and driven in such a way that they cannot easily be lost. Secondly, those located on private grounds are entrusted to the property owners, while those situated on communal lands are placed under the care of local sub-bailiffs. Thirdly, each point has been charted in relation to the nearest immovable objects, and its distance from them measured, so that even if the stake should be lost, the point can still be recovered. As triangulation chains run along the entirety of our national border — and since some of the points have, with the consent of neighbouring territories, been established on their land — such neighbours may, should they so desire, make use of these points for their own geodetic operations, as has indeed been done by the Hamburg authorities with regard to the triangulation line running along the Elbe from Landwürsten upwards, so long as the stakes remain in place.

From every trigonometric station, the entire horizon has been surveyed for notable secondary features — churches, mills, isolated houses, and the like — and for each of these, the angle formed between the line of sight to it and the adopted baseline was measured; so that, when one and the same object could be seen from multiple stations, its position could be derived through the intersection of the sight lines.

The baseline that forms the foundation of the entire triangulation system was laid in the region of the Osen Hills, on the northern side of Sandkrug, and extended eastward beyond it. Its length is 17,619.694 Rhenish feet. It was measured using rods with all conceivable care, including with the 50-foot measuring rod, which yielded 17,636 feet.

When a triangulation chain turns in a circular path and thus closes upon the same line from which it originally set out — the baseline — this return in itself serves as a test and verification. But when the chain proceeds in a straight line and ends abruptly, it becomes necessary to measure a line at the end in order to see how closely the computed and measured distances agree. Thus, Mr. Wessel measured such a verification line in the chain running along the Elbe near Hohensand in the land of Hadeln and found its length to be 7,490.2255 feet, while the computed distance was 7,489.48 feet — a difference of only 0.7455 feet. Similarly, Mr. Behrens, in the triangulation chain running through the Jever district toward Wangerooge, in which a line from Wessel’s system had been taken as a baseline without further remeasurement, measured a verification line on the shore opposite Wangerooge, near Friderikensiel, in the 25th triangle from the base, and found it to be 8,615.34 feet, while the computed value was 8,613.7 — thus, a difference of 1.64 feet. These checks, together with that indicated in the first section and others that could be presented, sufficiently prove the precision and reliability of our operations.

Imagine the meridian of the central point of the observatory mentioned in the first section — where now the pedestal for the sundial stands — extended north and south (more precisely, the tangent of this meridian at that point). Imagine further a perpendicular line running east–west to that meridian (the tangent of the parallel circle corresponding to the observatory’s latitude) at the same point. These are the two reference lines against which all trigonometric main points and secondary features are set in relation. Since, as noted in the first section, the inclination of the side of the triangle nearest the meridian is known — and thus also its inclination to the aforementioned perpendicular — and since all sides and angles in the triangulation system are interconnected and known, each side may be regarded as the hypotenuse of a right-angled triangle whose legs are parallel to the meridian and the perpendicular. Since the angles are known, these legs can be calculated from the hypotenuse — that is, for each main point and for each secondary feature, the perpendicular distance from the observatory’s meridian east or west, and from the perpendicular to the meridian north or south, can be determined. Taking two such points, comparing their respective distances to the main lines, treating those differences as legs, and calculating the hypotenuse — that hypotenuse will give the direct linear distance between the two chosen locations.

Let us take, for example, Oldenburg – that is, the point where the sundial stands upon the rampart – as well as Rastede and Varel.Rastede lies 2,980 Rhenish feet west of Oldenburg and 38,498 feet to the north; Varel lies 16,120 feet west and 92,568 feet north of Oldenburg; and Varel lies 13,140 feet west and 54,070 feet north of Rastede.

Consequently, the straight-line distance between Oldenburg and Rastede is 38,613 feet, between Oldenburg and Varel 93,961 feet, and between Rastede and Varel 55,644 feet. The sum of the distances from Oldenburg to Rastede and from Rastede to Varel exceeds the direct distance from Oldenburg to Varel by 296 feet.

The castle tower in Oldenburg lies 348.5 feet east of the observatory and 428.9 feet north; accordingly, Rastede lies 3,328.5 feet west and 38,099.1 feet north of the castle tower – making the direct distance between the castle tower in Oldenburg and the church tower in Rastede 38,214.4 feet.

The following table provides the distances of the listed churches, some of the mills, and certain other objects within the territory, as well as some locations outside the territory, from the meridian of the observatory in Oldenburg (either east or west) and from the perpendicular to that meridian (either north or south). From these figures, both the direct distance of each location from the observatory in Oldenburg and their mutual distances can be calculated.

It is noted that Altenhuntorf, Bardenfleth, and Hude are absent because they were not visible from any of the triangulation stations.

Distances from the meridian of the observatory in Oldenburg and from the perpendicular to said meridian, for the named locations.

Location from the meridian east or west from the perpendicular line north or south
Kirker
Abbehausen 47322 O. 143419 N.
Altensch 87170 O. 3340 N.
Altenhuntorf nicht observiert - - -
Apen 86871 W. 29555 N.
Atens 54743 O. 127036 N.
Bardenfleth nicht observiert - - -
Bardewisch 76386 O. 1504 N.
Berne 56034 O. 16576 N.
Blankenburg 18209 O. 5353 N.
Blexen 68600 O. 139806 N.
Bockhorn 41927 O. 10999 N.
Burhave 33062 O. 155862 N.
Dedesdorf 61213 O. 109058 N.
Delmenhorst 86287 O. 30988 S.
Dötlingen 34801 O. 71556 S.
Edewecht (s. Edewechter Mühle) - - -
Elsfleth (s. Elsflether Zollhaus) - - S.
Eckwarden 12343 O. 148738 N.
Esenshamm 49634 O. 115200 N.
Ganderkesee 70467 O. 37069 S.
Golzwarden 53442 O. 76156 N.
Großenmeer 20633 O. 45326 N.
Hammelwarden 58232 O. 59916 N.
Hasbergen 97238 O. 20956 S.
Hatten 28946 O. 42080 S.
Holle 33334 O. 7844 N.
Hude nicht observiert - - -
Jahde 5471 O. 72309 N.
Langwarden 20502 O. 165585 N.
Neuenbrok 28900 O. 39766 N.
Neuenhuntorf 44715 O. 16724 N.
Oldenbrok 40136 O. 56859 N.
Osternburg 1471 O. 2239 S.
Rastede 2980 W. 38498 N.
Röthenkirchen 50356 O. 93620 N.
Schinemoor 83458 O. 15403 S.
Schwey 29332 O. 93169 N.
Schweyburg (s. Schweyburger Mühle) - - -
Seefeld 32351 O. 112188 N.
Stollhamm 31585 O. 133611 N.
Strückhausen 37919 O. 69324 N.
Stuhr 114394 O. 38592 S.
Tossens 12332 O. 152769 N.
Varel 15120 O. 92568 N.
Waddens 42870 O. 145583 N.
Wardenburg 5377 O. 25305 N.
Warfleth 67381 W. 16142 S.
Westerstede 60793 O. 43305 N.
Wiefelstede 21125 O. 42762 N.
Zetel 51018 O. 101886 N.
Zwischenahn 44635 W. 18420 N.


Other domestic objects:

Location from the meridian east or west from the perpendicular line north or south
Schloßth. in Oldenburg 34815 O. 42899 N.
Stau-Mühle 14775 O. 1515 N.
Begräbniß-Kirche 915 O. 4202 N.
Heil. Geistthor 334 W. 2251 S.
Dingstede 49941 O. 31340 N.
Falkenburg 54797 O. 31802 N.
Iprumb, die Station auf dem Siel 19528 O. 4368 N.
Huntlosen 14304 O. 51925 S.
Holzkamp 77431 O. 45876 S.
Huntebrück 48709 O. 21967 N.
Elsflether Mühle 43321 O. 39127 N.
— Zollhaus 53138 O. 35072 N.
Mönchhofer Mühle 37077 O. 28859 N.
Braker Mühle 56695 O. 68501 N.
Jahder Vorwerksmühle 8656 O. 60874 N.
Oldenbrocker Mühle 39786 O. 42977 N.
Treuenfelde 37240 O. 63897 N.
ôvelgönner Landgerichtshaus 44765 O. 71524 N.
Vareler Siel 6901 W. 96161 N.
Schweyburger Mühle 11482 O. 93133 N.
Schweyer Mühle 51482 O. 96570 N.
Wurp Mühle 43629 O. 94748 N.
Schweyerfeld 37446 O. 93899 N.
Hoben Mühle 35789 O. 126541 N.
Ellwürder Mühle 61046 O. 119564 N.
Mörsinger Mühle 45610 O. 125276 N.
Ruhwarder Mühle 15286 O. 199424 N.
Blexer Mühle 59492 O. 138663 N.
Bremer Bake 7071 O. 204035 N.
Edewechler Mühle 54407 W. 73491 S.
Backeler Mühle 16690 W. 33731 N.
Holtgast 107025 W. 27617 N.
Wildenhof Station v.397 19889 W. 6097 S.
Vareler Gericht 24844 W. 73608 N.
Neuenburger Schloß 15797 W. 86637 N.
Steinhauser Mühle 405701 W. 1101391 N.


Foreign objects:

Location from the meridian east or west from the perpendicular line north or south
Bremer Ansgarii Kirche 125604 O. 20813 S.
Waartturm 100642 O. 21136 S.
Kirchhuchting 112160 O. 30682 S.
Brinkum 122462 O. 31945 S.
Vegesak Haven Haus 87491 O. 23054 S.
Wohrlohen 93120 O. 3095 S.
Neuenkirchen 64870 O. 6752 S.
Wersede 66097 O. 7896 S.
Sandstede 66097 O. 7896 S.
Stotel 18897 O. 11361 S.
Gesendorf 80229 O. 15965 S.
Bremerlehe 64693 O. 19431 S.
Imsum 64693 O. 19431 S.
Bremen 62829 O. 181765 N.
Böjenbüttel 66775 O. 199313 N.
Misselwarden 64248 O. 190793 N.
Capel 75278 O. 209739 N.
Spieke 77574 O. 217781 N.
Hamburgischer Gränzpfahl am Lande Wursten 77795 O. 240006 N.
Ritzebüttler Schloß 102710 O. 257495 N.
Kugelbake 103931 O. 267505 N.
Neuwert Bleiche 60242 O. 275968 N.
Schaarhörner Bake 42117 O. 279898 N.
Cuxhavener Bake 104861 O. 280000 N.
Altenbruch 118101 O. 283261 N.
Otterndorf 146164 O. 290000 N.
Hohesand 146504 O. 293000 N.
Belum 164851 O. 294000 N.
Niehuß 173531 O. 246731 N.
Ballje 193148 O. 246731 N.
Krummendiek 209913 O. 246731 N.
Freyburg 231434 O. 246731 N.
Hammelvörden 231434 O. 246731 N.
Brunsbüttel 187656 O. 269349 N.
Marne 163160 O. 289778 N.
St. Margrethen 219519 O. 268977 N.
Brockdorf 324992 O. 257132 N.
Glückstadt der höchste Th. 253779 O. 187121 N.
Wildeshausen 47298 W. 8099 N.S.
Oldenoit 72793 W. 3692 N.S.
Stickhausen 121494 W. 29974 N.
Remels Posthaus 98111 W. 6081 N.
Fredeburg 78196 W. 11283 N.
Neustadt Gödens Lutherische Kirche 47048 W. 121493 N.
Gödens Schloßturm 52214 W. 121493 N.
Sande 42984 W. 140928 N.
Marienhausen 49095 W. 140928 N.
Nienede 25193 W. 143928 N.
Heppens 16177 W. 143928 N.
Jever Schloßturm 56045 W. 147081 N.
Kniphausen 33494 W. 147081 N.
Fedderwarden 33594 W. 162021 N.
Sengwarden 34947 W. 162021 N.
Wangerooge Feuerthurm 74243 W. 133730 N.


Continuation to follow.