FURTHER NOTES ON FIGURES OF REFERENCE

Abstract

Major Hotine (E.S.R., No. II, pp. 264–8) still finds the location of a reference spheroid to offer insuperable difficulties. I confess that my difficulty is to see his! In my previous article (E.S.R., No. 8) at the foot of page 76, I used the word “coincidence” in error for “parallelism”. This harmonizes the article and I am glad that Major Hotine has directed attention to the error.     

THE COLOURS QUESTION

Abstract

The foundation of my former paper was nothing more substantial than a recollection of reading or hearing long ago that the property of the four colours existed in practice but had never yielded to strict theoretical analysis. I am therefore most grateful to Col. G. S. C. Cooke and Mr. G. W. Ross Jackson for their letters to the Editor (vol. iii, no. 15, pp. 52–5) citing the relative authorities, as they enable me to locate and acknowledge my debt to Mr. W. W. Rouse Ball, whose book was certainly in my hands in the Oxford Union Library some forty years ago. I wish I could remember his demonstration of the problem, but my subconscious faculties seem, from what Col. Cooke says, to have evolved a tolerable imitation of it, and until I have an opportunity of seeing the book again or of consulting any of the other authorities, I shall rest content in the assurance that, wherever my arguments may differ in substance from those of Mr. Rouse Ball, my errors will be so flagrant as to deceive none but myself, though my serenity in this connexion is somewhat shaken by the fate that seems to have attended the first welcome efforts to unmask a few of them.     

THE STEREOGRAPHIC SOLUTION OF THE SPHERICAL TRIANGLE

Abstract

In the course of his stimulating and suggestive paper in your recent issue, No. ro, pp. 226–38, Mr. A. J. Potter writes on p. 233 “but there is no simple construction by which X can then be found”, and again on p. 237 “a direct construction, if there be such”. This cheerful challenge invites the construction of a circle centred on a given line, passing through a given point thereon, and touching a given circle, and I have found the lure of Mr. Potter's gauntlet as irresistible as its recovery has proved delicate. In order to shoulder responsibility and by no means to claim highly improbable originality, let me confess that the problem is new to me and the two constructions I offer are my own; I venture to hope that Mr. Potter may consider one or other of them not unworthy of his epithet “simple”, though I freely admit the aptitude of his empiric procedure to its purpose. The proofs are not long, but for fear of overshooting my welcome I offer them to anyone for the asking; and for the same reason my diagrams are small and therefore mere.     

THE APPLICATION OF A RED FILTER TO SURVEYING INSTRUMENTS

Abstract

I regret that my note on this subject (vol. ii, no. 7,PP· 32-3) should have apparently provoked so little comment or interest. I feel that the silence may be either that accorded to my Impetuous Inrush or that produced by alarm at the possible complications to be overcome before theory can be reconciled with practice. If the latter, then my original title is perhaps in some measure responsible. It is really very simple; let two facts suffice.     

FIGURES AND FANCIES

Abstract

I may say at once that this article has nothing to do with either the Gaiety chorus or the “Old Firm”: it is merely a statement of what seem to me the fancies in Dr. de Graaff Hunter's paper “Figures of Reference for the Earth”, E.S.R., No. 8,pp. 73–8. Many readers of the Review will share my gratitude to Dr. Hunter for his lucid presentation of the theory underlying the usual geodetic processes. I disagree with only one of his points, and its implications, but unfortunately that point is fundamental.     

THE STATE OF NORTH BORNEO

Abstract

In 1924, when my application for a position in the Survey Department of North Borneo had been accepted, a surprisingly large number of my friends thought that my destination was somewhere in Africa or South or Central America. Of course everyone had heard of the “wild man of Borneo.” To be quite candid, my own knowledge was limited to the position of the island. As this. country seems to be so little known, a brief outline of its history and of the development of the Survey Department may be of interest.     

OBSERVING WITH THE ZEISS AND WILD THEODOLITES

Abstract

RELATIVE to discussions on the Wild theodolite in the E.S.R. the following contribution considers some properties common to that instrument and the Zeiss II; perhaps to the Tavistock also, with which, however, the writer has had no experience on precise triangulation.     

The Bulger Case: A Spatial Story

Abstract

This paper contributes to debates in the emerging field of cinematic cartography () by exploring the ways in which strategies of digital cinemapping can function as tools of critical spatial practice and urban wayfinding. More specifically, the paper considers the scope for digital video technologies to reshape, contest and ‘ground’ spaces of urban representation and the ‘spatial stories’ these bring into play. Basing my analysis on the mediation of the events surrounding the abduction and murder of the 2-year-old boy James Bulger in 1993, I examine the case as a constellation of spatial narratives within which I weave my own spatial story in the form of a video mapping of the abduction route (in Bootle near Liverpool) and the responses and issues this further mediation has provoked. Methodological reflections on the map-making process are discussed alongside narratives generated by the video on YouTube. The paper argues that, by adopting practices of wayfinding, and by being critically attentive to the ways in which film and video-making practices are also spatial practices, moving image cartographies can provide insights into lived and embedded spaces of memory, and the hidden or muted spatial stories to which they play host.     

THE EAST AFRICAN ARC

Abstract

It was suggested some time ago in the Review (E.S.R., vol. ii, no. 9, p. 182) that observing procedure in a ruling triangulation should be made the subject of a discussion at the forthcoming Empire Survey Conference. I hope it will be. We shall perhaps learn why India finds thirty measures necessary, as no doubt they are necessary in India, whereas South Africa and Southern Rhodesia are able to secure much the same degree of accuracy from the same instrument with only eight; why Canada, again with the same instrument, prefers the golden mean of sixteen; why some of us still prefer the measurement of angles to directions vvhile others would insist entirely on the measurement of directions from a “close” R.O. It is only by pooling the experiences gained in diverse circumstances that we can avoid being overborne by our own successes or failures, encountered possibly in very exceptional circumstances which may not recur.     

MAP REPRODUCTION IN THE TROPICS

Abstract

The useful paper on “Map Printing in Ceylon” which was written by Mr. W. S. Maddams of the Ceylon Survey Department for the 1935 Conference of Empire Survey Officers has been read with interest in the Gold Coast. The writer of the present note was not present at the Conference but has read the report of the discussion on that paper. It appears to him that Mr. Maddams makes certain generalizations, based on his own, experience in Ceylon, regarding map reproduction in the Tropics and, however true these statements may be as regards Ceylon, they certainly do not apply to the Gold Coast and probably not to some other tropical countries. As it is possible that another Colony, when starting a map-printing establishment of its own, might be led, on the strength of the paper read at the Conference, to believe that less expensive (though less elaborate) methods than those used in Ceylon are not possible in a tropical country, the following notes on the methods used and found successful in the Gold Coast may be of some value. They are not intended to be a criticism of Mr. Maddams' paper but only to supplement it with a record of experience obtained in another part of the world.     

THE TRANSVERSE MERCATOR PROJECTION: A CRITICAL EXAMINATION

Abstract

In January 1938 the writer decided against holding up for more years some work on the Transverse Mercator Projection (E.S.R., 27, 275). The extension to the spheroid was not then complete, nor is the present paper to be regarded as a logical continuance. It is first proposed to show the results of “transplanting” orthomorphically upon the spheroid a spherical configuration forming a graticule.     

THE PRIMARY TRIANGULATION OF SARAWAK

Abstract

Historical.—When my predecessor, Mr N. A. Middlemas, was seconded from the Survey Department of Malaya in 1925, the survey framework of the State was technically negligible.     

FURTHER NOTES ON RANGE-FINDING WITH A THEODOLITE

Abstract

Since writing the article which appeared in E.S.R., no. 36, p. 364, the writer has used this method to obtain thousands of spot heights with differences of elevation varying up to 7,500 feet in a single shot. The results of this experience and the modifications introduced in the method may be of some iilterest.     

GEODETIC BEACONS

Abstract

Mr. Clendinning's article on “Signal Lamps” (E.S.R., vol. ii, pp. 15–18) raises a point of major importance in geodetic triangulation. I entirely agree with him that the sole use of heliographs—heliostats to the purist—is in most parts of the world out of date. I also think, and indeed am prepared to state categorically, that the use of acetylene lamps is out of date and was out of date many years ago. The Americans, who are always worth listening to on the economics of surveys, would not otherwise have replaced all their acetylene gear by electric beacons. The answer, in my experience, and for reasons which I shall endeavour to make clear, is generally, but not necessarily always, to provide both helio and electric lighting; but first I should like to summarize the conditions in which luminous signals should be used at all.     

SOME EFFECTS OF PULLEY ECCENTRICITY IN BASE MEASURING APPARATUS

Abstract

The comprehensive paper on the suspension of tapes by M. Hotine in the January, 1939, issue of the Empire Survey Review (v, 31, 2) did not contain any reference to this question, as was pointed out by A. J. Morley in a letter published on page 261 in the same volume (v, 34, 261). A brief analysis has been made by F. Yates of the theoretical effects of pulley eccentricity and misalignment (“Gold Coast Survey Department Records” VoL III, 1931, page 43) but I have not seen any further reference to the subject and have recently experienced the effects of such a defect in our own apparatus, so the followingnotes nlay be of interest. Before proceeding to details I will describe briefly those parts of the apparatus which are considered here and give a short summary of the whole paper.     

DIRECT USE OF AIR PHOTOS FOR CADASTRAL PURPOSES IN ZANZIBAR

Abstract

Since a number of factors have combined to separate the second part of this paper from the first appearing in the E.S.R., issue No. 63, Volume IX, pp. 1–14, and written by Sir Ernest Dawson, I feel that some emphasis, already given, may reasonably be reproduced. To quote from Sir Ernest's paragraph on the Main Problem :—“The crux of the matter which I had been invited to solve, was the definition and record in a simple, sure and economical way, of the increasing number of unstable small holdings in their tangled setting throughout the Protectorate.”     

A FIFTY-YEARS RETROSPECT

Abstract

The International Population Union.—In 1927, as President of the Geographical Association, it was my duty to deliver an address to the Association. I chose as my subject “Population and Migration” with special reference to the English-speaking peoples. One result of the publication of this in Geography, the journal of the Association, was that I was invited to attend the World Population Conference, which was held at Geneva in August-September 1927. The Conference was a very interesting affair. It was organized, and largely paid for, by Mrs. Margaret Sanger. About twenty-four countries were represented. The late Sir Bernard Mallet presided, and in one of his speeches, winding up the Conference, he truly said that we might “congratulate ourselves on having shown the world that population questions, which bristle with controversy, political, moral, and religious, can be discussed by sensible people without animosity or unseemly wrangling”.     

THE TRANSVERSE MERCATOR PROJECTION OF THE SPHEROID

Abstract

In January 1940, in a paper entitled “The Transverse Mercator Projection: A Critical Examination” (E.S.R., v, 35, 285), the late Captain G. T. McCaw obtained expressions for the co-ordinates of a point on the Transverse Mercator projection of the spheroid which appeared to cast suspicion on the results originally derived by Gauss. McCaw considered, in fact, that his expressions gave the true measures of the co-ordinates, and that the Gauss method contained some invalidity. He requested readers to report any flaw that might be discovered in his work, but apparently no such flaw had been detected at the time of his death. It can be shown, however, that the invalidities are in McCaw's methods, and there seems no reason for doubting the results derived by the Gauss method.     

SOME NOTES ON ASTRONOMY AS APPLIED TO SURVEYING

Abstract

Astronomy is not a subject that is taught much from text-books, and the excellent but rather out-of-date books such as Chauvenet and Ball do not contain many of the more modern methods. The writer, as a one-time professional astronomer, has been able to pick up various ideas about the sort of astronomy useful to surveyors, with which some surveyors may not be familiar and which might be useful to them. The whole of these notes are not entirely his own work, many of the details having been first suggested by the late Dr. L. J. Comrie, F.R.S.