The Survey of the Coast has excited the admiration of the whole

civilized world for its thoroughness and accuracy, and has not been

excelled by the most advanced nations. It has justly been claimed to be

a scientific work, as well as a practical one, for science has guided

those who have conducted it and led them through the fields of their

labors on the only sure basis to produce knowledge. And the great

knowledge that has been acquired by its scientific prosecution, is

beyond comparison with the little that would have resulted had it been

conducted on the less thorough methods of Nautical Surveying that have

been so earnestly advocated. We cannot compute the value of what has

been learned in dollars and cents; that it has saved to the Nation many

times over, all that it has cost, does not admit of a doubt. Its

educational influence has been widespread, extending beyond the seas,

and coming back to us with cheering words of encouragement and praise.

Practical men utilizing the results of the great work in the business

affairs of life, use no stinted phrases in the encomiums they bestow

upon it; Military men compelled to rely upon it in the perils of

warfare, have not found it wanting, and have given only praise for the

great help it was to them; Scientific men, ever watchful of that which

is true, have approved it the world over, and cite it as an example of

the great profit that may come to a people, free to utilize Science in

the conduct of practical work. Our institutions of learning have

adopted its publications in text-books. Our merchants venture millions

of dollars daily on the veracity of its statements, and our mariners

risk their lives on the truthfulness of the Surveys. It has added to

the prosperity of the nation in peace--to her glory in war; and when

history shall record its awards to our people, there will be no page of

the galaxy with more honor than that which bears tribute to the genius

of American Science, in the work of the Coast Survey. From ignorance

most profound we have been raised to knowledge almost perfect; and well

may the commercial communities by their associations and exchanges bear

the testimony to its value that they do, and have done in times past;

as might the whole people for the wise legislation that established the

work, that has defended it, and we may hope will perpetuate it for its

inestimable benefits to them all.

THE SURVEY AND MAP OF MASSACHUSETTS.

BY HENRY GANNETT.

The Geological Survey is engaged in making a map of the United States.

This work was commenced as an adjunct to the geological work, and was

rendered necessary by the fact that, except in limited areas, no maps

of the country on any but the smallest scales were in existence. While

these maps are thus primarily made to aid in the geologic work and in

the delineation of geologic results, they are being made of such a

character as to meet all requirements which topographic maps on their

scales should subserve.

The work is being carried on in various parts of the country and is

being prosecuted on a considerable scale, the annual output being

between 50,000 and 60,000 sq. miles of surveyed area. Commenced in

1882, the work has been extended over more than 300,000 sq. miles at

the present time. Of this work the survey of Massachusetts forms a

part.

In some of its features this survey was an experiment. It was the joint

work of the State and the United States, and, so far as I know, was the

first example of such joint work. In the summer of 1883 the U. S.

Geological Survey commenced topographic work within the State, the

scale adopted being very nearly 2 miles to an inch. Only a beginning

was made during the season, and in the following winter the Governor of

the State recommended to the legislature that if practicable advantage

be taken of the opportunity, and an arrangement for coöperation be made

between the State and the Geological Survey, by which a map upon a

larger scale and with a greater degree of detail might be obtained as a

result of this survey. Accordingly, after some correspondence with the

Director of the U. S. Geological Survey, the legislature authorized the

appointment of a commission, with power to make an arrangement with the

Director of the Geological Survey looking toward the result above

indicated, and appropriated $40,000, being half the estimated cost of

the survey upon the larger scale, $10,000 of which was to be available

the first year and $15,000 in each of the two subsequent years. The

following is the text of the bill, which is in many respects a model

legislative document:

COMMONWEALTH OF MASSACHUSETTS.

_Resolve_ to Provide for a Topographical Survey and Map of the

Commonwealth. (Chapter 72, 1884.)

_Resolved_, That the governor, with the advice and consent of the

council, be and is hereby authorized to appoint a Commission to consist

of three citizens of the Commonwealth, qualified by education and

experience in topographical science, to confer with the director or

representative of the United States Geological Survey, and to accept

its coöperation with this Commonwealth in the preparation and

completion of a contour topographical survey and map of this

Commonwealth hereby authorized to be made. Said Commission shall serve

without pay, but all their necessary expenses shall be approved by the

governor and council, and paid out of the treasury. This Commission

shall have power to arrange with the Director or representative of the

United States Geological Survey concerning this survey and map, its

scale, method, execution, form and all details of the work in behalf of

the Commonwealth, and may accept or reject the plans of the work

presented by the United States Geological Survey. Said Commission may

expend in the prosecution of this work a sum equal to that which shall

be expended therein by the United States Geological Survey, but not

exceeding ten thousand dollars, during the year ending on the first day

of June, eighteen hundred and eighty-five, and not to exceed the sum of

fifteen thousand dollars in any one year thereafter, and the total cost

to the Commonwealth of the survey shall not exceed forty thousand

dollars.

In pursuance of this resolution Gov. Robinson appointed the following

gentlemen as commissioners on the part of the State: Gen. Francis A.

Walker, President of the Massachusetts Institute of Technology, Mr.

Henry L. Whiting, Assistant U. S. Coast and Geodetic Survey and Prof.

N. S. Shaler of Harvard College. The Director of the Geological Survey,

upon being notified of this action, laid before the commissioners a

proposition for a joint survey in the following terms:

1. It is proposed to make a topographic map of the State of

Massachusetts, the expense of which shall be borne conjointly by the

Geological Survey and the State of Massachusetts.

2. The Borden triangulation and the Coast and Geodetic Survey

triangulation will be utilized as far as possible, and additional

triangulation will be made to such extent as may be necessary.

3. The topographic work of the Coast and Geodetic Survey will be

utilized as far as it extends.

4. The survey will be executed in a manner sufficiently elaborate to

construct a topographic map on a scale of 1:62,500.

5. The topographic reliefs will be represented by contour lines with

vertical intervals varying from ten to fifty feet, as such intervals

are adapted to local topography.

6. As sheets are completed from time to time copies of the same will be

transmitted to the commission.

7. When the work is completed and engraved for the Geological Survey,

the Commission, or other State authorities, may have, at the expense of

the State, transfers from the copper plates, thus saving the State the

cost of final engraving.

8. The survey will be prosecuted at the expense of the Geological

Survey for the months of July, August and September. During the last

half of the month of September the Commission shall examine the work

executed up to that time, and if the results, methods and rates of

expenditure are satisfactory to the Commission, the expenses of the

work for the month of October shall be borne by the State of

Massachusetts, for the month of November by the Geological Survey, and

the work thereafter shall continue to be paid alternately by months, by

the Geological Survey, and the State of Massachusetts severally. But as

the larger expense incident to the beginning of the work is imposed on

the Geological Survey, at the close of the work the State of

Massachusetts shall pay such additional amount as may be necessary to

equalize the expenditures; provided that the total expenditure of the

State of Massachusetts shall not exceed forty thousand dollars

($40,000); and if the completion of the survey of the State of

Massachusetts and the preparation of the necessary maps on the plan

adopted by the survey shall exceed in amount eighty thousand dollars

($80,000), then such excess shall be wholly paid by the Geological

Survey.

The commissioners suggested some minor amendments to this proposition,

which were accepted, and under these provisions work was commenced and

carried forward continuously to its completion. The field work of the

state was finished with the close of the season last fall, and the

drawing of the maps is now substantially done. The work was done in the

field with such accuracy and such degree of detail as to warrant the

publication of the map upon a scale of one inch to a mile, or, what is

practically the same thing, 1:62,500. The relief of the surface is

represented by the contour lines, or lines of equal elevation above

sea, traced at vertical intervals of 20 feet. These contour lines,

which are becoming a common feature of modern maps, add an additional

element. They express quantitatively the third dimension of the

country, viz: the elevation. An inspection of such a map not only shows

the horizontal location of points, but their vertical location as well.

It gives the elevations of all parts of the country represented, above

the sea.

The map represents all streams of magnitude sufficient to find place on

the scale, and all bodies of water, as lakes, swamps, marshes, etc. In

the matter of culture, in which definition is included all the works of

man, it seemed desirable to represent only such as are of a relatively

permanent nature, and to exclude temporary works, for the very apparent

reason that if temporary works were included, the map would be not only

a constant subject for revision, but even in the interval between the

survey and the publication, the culture might change to a large extent,

and the published map be correspondingly incorrect from the outset. In

searching for a criterion which could be consistently followed in

distinguishing between culture which should and should not be

represented, it was found that by limiting the representation to that

which may be denominated public culture, that is, that which has

relation to communities, as distinguished from individuals, a

consistent line could be drawn. Adopting this criterion, the map

contains all towns, cities, villages, post offices,--in short, all

settlements of any magnitude, all railroads and all roads, with the

exception of such as are merely private ways, all public canals,

tunnels, bridges, ferries and dams. There were excluded under this

ruling isolated houses, private roads, fences and the various kinds of

crops, etc. Forest areas are shown. Subsequently, however, in response

to the urgent wish of the commissioners, the survey consented to locate

the houses upon the maps, although in the engraving these have been

omitted. The omission of all private culture leaves the maps very

simple and easy to interpret. For convenience the field work was done

upon a larger scale than that upon which the maps were to be published,

viz: a scale of 1:30,000, or a little more than double the publication

scale. The map of the state as planned is comprised in 52 atlas sheets,

each of which comprises 15 minutes of latitude by 15 minutes of

longitude and an area of about 225 square miles. These sheets upon the

scale of publication are about 17½ inches by 13 in dimensions. In two

or three cases along the coast it seemed to be in the interest of

economy to vary from this arrangement slightly, in order to avoid the

multiplication of sheets. Many of the sheets upon the borders of the

state project over into other states, and, in cases where the area

lying without the state was small, the survey was extended beyond the

limits of the state, in order to complete the sheets.

Every map is a sketch, which is corrected by the geometric location of

a greater or less number of points. Assuming entire accuracy in the

location of the points, that is, assuming that the errors of location

of the points are not perceptible upon the map, the measure of accuracy

of the map consists in the number of these geometric locations per unit

of surface, per square inch, if you will, of the map. The greater the

number of these locations the greater the accuracy of the map, but

however numerous they may be the map itself is a sketch, the points

located being simply mathematical points. Whatever method be employed

for making these geometric locations, the sketching is substantially

the same everywhere. The methods of making these locations must differ

with the character of the country, as regards the amount and form of

its relief, the prevalence of forests and other circumstances. There

are two general methods of making the geometric locations used in

surveying; one, by triangulation; the other by the measurement of a

single direction and a distance, which is the method employed in

traverse surveying. In practice, the two methods are often combined

with one another. Both methods have been employed in Massachusetts. The

fundamental basis of the work was the triangulation which had been

carried over the state by the U. S. Coast and Geodetic Survey. By this

survey points were located at wide intervals over the state. Besides

this there was executed between 1830 and 1840, at the expense of the

state, a triangulation known as the "Borden Survey." This located a

much larger number of points, but less precisely. The Coast and

Geodetic Survey kindly undertook the adjustment of this triangulation

to an agreement with its own work, and, as many of the lines were

common to the two pieces of work, the locations made by the Borden

Survey were by this adjustment greatly strengthened. Even after this

work was done, however, there remained considerable areas which were

destitute of located points, and it became necessary to supplement it.

This was done in part by the Coast and Geodetic Survey and in part by

the Geological Survey. By these several agencies upwards of 500 points

were made available for the use of the topographers. These are in the

main well distributed, furnishing upon each sheet a sufficiency, while

upon many the number is greatly in excess of the requirements.

The work of location has been done in different parts of the state by

different methods as seemed most applicable to the differing conditions

of relief, forest covering and culture. Throughout most of the western

part of the state the work was done entirely with the plane table,

using the method of intersections as the means of location. Each plane

table sheet comprised one-half of an atlas sheet, cut along a parallel

of latitude. The plane tabler, starting with three or more locations

upon his sheet, furnished by the triangulation, expanded over the sheet

a graphic triangulation, locating thereby a considerable number of

points, before commencing detailed work. This was done as rapidly as

possible consistent with a high degree of precision. The reason for

covering the sheet with the graphic triangulation beforehand lay in the

necessity for locating a considerable number of points before the sheet

had opportunity to become distorted by alternations of moisture and

drying. This done, the plane tabler went on with his usual routine of

work, locating minor points and sketching the topography in contours.

The map was as far as possible completed upon the stations, with the

country in view. Elevations were determined as the work progressed,

with the vertical circle of the alidade, and minor differences of

elevation between points whose height was known were measured by

aneroid barometer.

In this work several different forms of plane table have been employed.

It was commenced with the large heavy movement designed I believe by

the Coast and Geodetic Survey. This, however, was found unnecessarily

heavy and cumbersome, and it was discovered that the requisite degree

of stability could be obtained with much less weight. For this plane

table movement there was soon substituted another form in use in the

Coast and Geodetic Survey, which is very much lighter. This was soon

improved by taking off the slow motion in azimuth, which was found to

be unnecessary, and the addition of more powerful clamps, for the

purposing of rendering it more stable. A still more stable form,

however, coupled with even less weight, was designed by Mr. W. D.

Johnson, of the U. S. G. S. and was immediately adopted. This is

substantially a modification of the ball and socket movement. It

consists of two cups of large size fitting closely to one another and

working within one another in such a way as to allow of the adjustment

in level, and the clamping of the level adjustment independently of the

azimuth movement, clamps for both level and azimuth adjustments being

underneath the instrument. This form is extremely stable, admits of

quick adjustment and leveling, and it has been from the time of its

invention in general use in this state and elsewhere in the Survey.

In the undulating, forest-covered, region in the southeastern part of

the state it was found impracticable to use economically the method of

intersections, and resort was had to the traverse method for making

locations. In this method, as is well known, one station is located

from another by the measurement of a distance and direction, the line

of stations being connected at each end either upon stations in the

triangulation or upon other lines, while from the stations in these

traverse lines, points off the lines are located by intersections, if

practicable, or by distance and direction measurement. For this kind of

work the plane table, at least such a plane table as is generally in

use is an inconvenient instrument. The plane table with the telescopic

alidade is too cumbersome an instrument to be carried about and set up

as frequently as is necessary in this work. Therefore for this purpose

theodolites, fitted with stadia wires and stadia rods, have been used.

Distances are measured by the angles subtended by the stadia wires upon

the rod, whose divisions are of known length, while the directions are

measured by the compass attached to the theodolite, and differences of

elevation by spirit level and vertical angles. With this instrument

lines were run along all the roads and along the principal streams in

this part of the state and from these lines the country lying between

them was located and sketched.

In the northeastern and in much of the middle portion of the state a

mixed method of work was employed, the plane table being used for

carrying on the intersection work wherever it could be done, while by

traversing the roads, their details, which could not be obtained by the

plane table in this region, were reached. These traverses were platted

in the office and the maps drawn from notes and sketches made in the

field.

The degree of accuracy of the map depends upon the accuracy of the

locations, their number and the uniformity of their distribution. Of

their accuracy it is only necessary to state that their errors are not

sufficiently large to be appreciable upon the scale of the map, for

instance the scale being one inch to a mile, an error of 50 feet in the

location of a point would be upon the map but one hundredth of an

inch,--a barely appreciable quantity, and it is of course easy to make

the locations within this limit. Of the number of locations per unit of

map surface I shall give statistics drawn from the full experience of

the Survey in this state. The area surveyed by the method of

intersections exclusively comprises 3,500 square miles, or about

two-fifths of the state. In this area 3,123 stations were occupied with

the plane table, or slightly less than one to a square mile, or,

measured upon the map, one to a square inch. Besides these, 17,846

points were located in this area by intersections, making, with the

occupied stations, a total of 20,969 locations within the area, or 6.2

horizontal locations per square inch. In the same area the heights of

34,893 points were measured, being 10 per square inch. I am expressing

these figures in terms of inches of the final map, because it is the

map with which we are concerned.

The area surveyed by the traverse method is 2500 sq. miles. In this

area 5615 miles of traverse lines were run, being 2.2 linear inches per

square inch of the map. In running these lines 46,524 stations were

made with the theodolite, being 8.3 per linear mile of traverse and

18.6 per sq. inch of map. The number of measurements of height was

92,561, being 37 to the square inch.

The area surveyed by the mixed method comprised 3000 sq. miles. In this

900 stations were made with the plane table, and from them 3718 points

were located by intersection, making altogether 4618 points located

with the plane table. In addition to this, 6767 miles of traverse were

run, being 2.2 linear miles per square mile of area. In these traverses

31,708 instrumental stations were made, or 4.7 per linear mile and 10.6

per sq. mile. The sum of the plane table stations, locations, and the

traverse stations, which makes up the total of horizontal locations in

this area, is 36,326, being a total of 12.1 points per sq. inch of map.

The number of measurements of height in this area is 67,119, being 22.4

per sq. inch. It will be seen that the number of horizontal locations

and of height measurements in the area traversed is much greater than

in that surveyed by the intersection method, and it might be inferred

that the former work is better controlled than the latter. I do not

judge, however, that this is the case, owing to the fact that traverse

stations are not of as much value for purposes of location as those by

intersection. The latter are selected points. The former are not

selected points, but on the contrary, a large proportion of them are

located simply for carrying forward the line and are of no further

service, and very few of them are such as would be fitted for the

purpose of controlling areas.

Within the area surveyed by traverse nearly every mile of road has been

run. With the exception of those in the cities, nearly every house and

every church in the commonwealth has been located, either by

intersection with the plane table or by traverse.

The organization of the surveying parties has been of the simplest

character. Plane table work has been carried on by one man with an

assistant, the latter doing little more than attend the plane tabler

and assist him in carrying the instruments. Each of these little plane

table parties was furnished with a horse and buggy for transportation.

The organization for traverse work has been equally simple, consisting

of a traverse man and a rodman. As a horse and buggy would be an

impediment in this work, this feature of the outfit has been omitted.

In the mixed work the traverse men have been under the immediate

control of the plane tabler, so that their movements have been directed

by him in detail. The average output per working day of the plane

tabler has been for the whole survey 3.1 sq. miles, and of the traverse

man 2.8 sq. miles, and, as the expenses of the former have been

slightly greater than those of the latter, the cost per square mile of

the two methods of work has been substantially the same.

The average cost per square mile of the survey of the State has been a

trifle less than $13. This includes the salaries of all men engaged

upon the work during the field season, their traveling, subsistence and

all other expenses, the salaries of the men engaged in drawing the maps

in the office, the cost of supervision and of disbursement,--in short

all expenses of whatever character, incurred in the production of the

map.

PROCEEDINGS OF THE NATIONAL GEOGRAPHIC SOCIETY.

ABSTRACT OF MINUTES.

_First Regular Meeting, Feb. 17, 1888_.--Held in the Law Lecture room

of Columbian University, the president, Mr. Hubbard, in the chair.

The president delivered an inaugural address.

Major J. W. Powell lectured on the Physiography of the United States.

The National Geographic Magazine, Vol. I., No. 1, October, 1888 · 第 8 / 9 段