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Precise Leveling in the United States 1903-1907

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fullscreen: Precise Leveling in the United States 1903-1907

Monograph

Persistent identifier:: 883838079

Author:: Hayford, John Fillmore; Pike, L.

Title:: Precise Leveling in the United States 1903-1907

Sub title:: with a readjustment of the level net and resulting elevations

Scope:: 280 Seiten, 1 Karte

DOI:: 10.14463/GBV:883838079

Year of publication:: 1909

Place of publication:: Washington

Publisher of the original:: Government Printing Office

Identifier (digital):: 883838079

Illustration:: 1 Karte

Language:: English

Usage licence:: Public Domain Mark 1.0

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2017

Document type:: Monograph

Collection:: Earth sciences

Chapter

Title:: GRAFTON TO CHICAGO, ILL.

Document type:: Monograph

Structure type:: Chapter

Contents

Table of contents

Precise Leveling in the United States 1903-1907
Cover
ColorChart
Title page
Title page
CONTENTS.
GENERAL STATEMENT.
THE NEW COAST AND GEODETIC SURVEY LEVEL LINES.
INSTRUCTIONS FOR PRECISE LEVELING.
STATISTICS OF LINES.
SPEED, COST, AND ACCURACY OF RECENT PRECISE LEVELING.
RED DESERT, WYO., TO OWYHEE, IDAHO.
HOLLAND TO NEW BRAUNFELS, TEX.
OWYHEE, IDAHO, TO SEATTLE, WASH.
ST. CLOUD, MINN., TO WATERTOWN, S. DAK.
WATERTOWN, S. DAK., TO SIOUX CITY, IOWA.
BALTIMORE, MD.
CHICAGO JUNCTION TO DESHLER, OHIO.
EVANSVILLE TO STEPHEN, MINN.
SMITHVILLE TO GALVESTON, TEX.
GREENWICH TO SULLIVAN, OHIO; ELLWOOD CITY TO MONACA, PA.; AND ALLIANCE TO STRUTHERS, OHIO.
UNITED STATES ENGINEER LINES.
FORT ADAMS TO VICKSBURG, MISS.
BARBIN TO ACME, I.A.
ARCHIBALD TO COLUMBIA, LA.
CAMDEN, ARK., TO SHREVEPORT, LA.
GRAFTON TO CHICAGO, ILL.
AITKIN TO GRAND RAPIDS, MINN.
UNITED STATES GEOLOGICAL SURVEY LINES.
PEKIN TO CHAMPAIGN, ILL.
OLNEY TO CHAMPAIGN, ILL.
CHILLICOTHE TO COLUMBUS, OHIO.
PORTSMOUTH TO CHILLICOTHE, OHIO.
VALLEY CROSSING TO UHRICHSVILLE, OHIO.
BALTIMORE AND OHIO RAILROAD LINES.
WASHINGTON, D. C., TO BALTIMORE, MD.
RELAY TO WASHINGTON JUNCTION, MD.
FOLEY, PA., TO CHICAGO JUNCTION, OHIO.
WARWICK, OHIO, TO BEN WOOD, W. VA.
CUMBERLAND, MD., TO BENWOOD, W. VA.
ZANESVILLE TO MARIETTA, OHIO.
MONACA, PA., TO LIMA, OHIO.
CONDENSED STATEMENT OF DIRECT RESULTS OF OBSERVATION.
Map
THE CIRCUIT CLOSURES.
THE LEVEL NET ADJUSTMENT OF 1907.
ASSIGNMENT OF WEIGHTS.
ADOPTED ELEVATIONS OF JUNCTION POINTS.
CORRECTIONS APPLIED IN THE 1907 ADJUSTMENT.
ELEVATIONS.
DESCRIPTIONS OF BENCH MARKS.
GENERAL NOTES DESCRIBING DIFFERENT FORMS AND MARKINGS OF BENCH MARKS CONNECTED WITH THE LEVEL NET.
DESCRIPTIONS OF ADDITIONAL PERMANENT BENCH MARKS ON ENGINEER LINES IN LOUISIANA, MISSISSIPPI, AND ARKANSAS.
DESCRIPTIONS OF BENCH MARKS BETWEEN DELHI AND TENSAS RIVER, LOUISIANA, 1899.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN BARBIN AND ACME, LA., NEAR THE MOUTH OF THE BLACK RIVER, 1899.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN GILBERT AND NEW LIGHT, LA., 1899.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN ARCHIBALD AND COLUMBIA, LA., 1899.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN CAMDEN, ARK., AND SHREVEPORT, LA.
DESCRIPTIONS OF STONE-LINE BENCH MARKS, NEW ORLEANS TO BATON ROUGE, LA.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN FORT ADAMS AND VICKSBURG, MISS., 1905-6.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN AITKIN AND GRAND RAPIDS, MINN., 1902.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN ST. CLOUD, MINN., AND WATERTOWN, S. DAK., 1904.
DESCRIPTIONS OF PERMANENT BENCH MARKS FROM WATERTOWN, S. DAK., TO SIOUX CITY, IOWA, 1905.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN EVANSVILLE AND STEPHEN, MINN., 1905.
DESCRIPTIONS OF PERMANENT BENCH MARKS FROM SMITHVILLE TO GALVESTON, TEX., 1905-1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN GRAFTON AND CHICAGO, ILL., 1902-4.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN PEKIN AND CHAMPAIGN, ILL., ESTABLISHED BY THE UNITED STATES GEOLOGICAL SURVEY, 1905.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN OLNEY AND CHAMPAIGN, ILL., ESTABLISHED BY THE UNITED STATES GEOLOGICAL SURVEY, 1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN CHILLICOTHE AND PORTSMOUTH, OHIO, ESTABLISHED BY THE UNITED STATES GEOLOGICAL SURVEY, 1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN CHILLICOTHE AND COLUMBUS, OHIO, ESTABLISHED BY THE UNITED STATES GEOLOGICAL SURVEY, 1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS FROM VALLEY CROSSING TO UHRICHSVILLE AND STATION 15 P. O., OHIO, ESTABLISHED BY THE UNITED STATES GEOLOGICAL SURVEY, 1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN WASHINGTON, D. C., AND BALTIMORE, MD., 1903.
DESCRIPTIONS OF PERMANENT BENCH MARKS IN BALTIMORE, MD., 1905.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN RELAY AND WASHINGTON JUNCTION, MD., 1903.
DESCRIPTIONS OP PERMANENT BENCH MARKS BETWEEN FOLEY, PA., AND STRUTHERS, OHIO, 1903.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN ELLWOOD CITY AND MONACA, PA., 1906.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN EAST AKRON JUNCTION AND SULLIVAN, OHIO, 1903.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN GREENWICH AND CHICAGO JUNCTION, OHIO, 1903.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN CHICAGO JUNCTION AND DESHLER, OHIO, 1905.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN WARWICK AND UHRICHSVILLE, OHIO, 1903.
DESCRIPTIONS OF PERMANENT BENCH MARKS BETWEEN CUMBERLAND, MD., AND BENWOOD, W. VA., 1904.
DESCRIPTIONS OF MISCELLANEOUS ADDITIONAL BENCH MARKS.
CORRECTIONS TO DESCRIPTIONS AND ELEVATIONS OF BENCH MARKS PUBLISHED IN APPENDIX 8, REPORT FOR 1899.
CORRECTIONS TO DESCRIPTIONS AND ELEVATIONS OF BENCH MARKS PUBLISHED IN APPENDIX 3, REPORT FOR 1903.
CORRECTIONS TO DESCRIPTIONS AND ELEVATIONS PUBLISHED IN APPENDIX 4 OF THE COAST AND GEODETIC SURVEY REPORT FOR 1905.
PRECISE LEVELING IN THE UNITED STATES, 1903-1907.
Cover

Full text

Berücksichtigt man immer nur die betreffenden Schaffungen, 
= o -f- 3x 2 -(- 6x J -f- 3J 2 und 
= 3x 2 4- 6xö + 3d 2 + 0, 
dx- 
Aber auch die sämtlichen fortgelassenen Glieder der voll 
ständigen Differentiale kann man bei beiden Differentiationen genau 
ebenso wieder finden, nur an anderen Orten, wenn man nur statt 
dx 2 setzt dö oder umgekehrt; und das ist auch natürlich da 
4 3x 2 S 4 3xd 2 4 6* = J 3 4 3xö 2 4 3x 2 d 4 * 3 . 
Es besteht nur eine Verschiedenheit in der Reihenfolge der 
Handlung. Freilich ergeben sich bei der Bildung gemischter Diffe 
rentiale gemischte Glieder, welche bei der Bildung einzelner Diffe 
rentialquotienten fortfallen, aber es bezeichnen auch die einzelnen 
Differentialquotienten etwas Unvollständiges, und es sollte in der 
Taylorschen Reihe in jedem Gliede nur eine bestimmte Potenz 
verkommen. Nach dieser Vorschrift müssen auch die gemischten 
Differentiale der einzelnen Glieder entsprechend beschränkt werden. 
Abschnitt 21. 
Die Taylorsche Reihe bei Vermehrung von x 
um endliches h. 
Es fragt sich nun, was die Aufstellung einer entsprechenden 
Reihe zu bedeuten hat, wenn man x nicht um eine unendlichkleine 
Grösse <5, sondern um eine sinnlichvorstellbare h vermehrt, also 
der Form nach hinschreibt 
f[x + h) = f{x) 4 h • L 4 h 2 • A/4 k 3 • A^4 . . . 
Man stellt hiermit das Verlangen den Wert irgendeiner, noch 
nicht näher untersuchten Funktion, für irgendeinen endlichen vor 
gestellten Wert der unabhängig Veränderlichen, also x -\- h zu ver 
gleichen mit dem Werte derselben Funktion für einen um die endliche 
Grösse h vorhergehenden Wert der Unabhängigen, jenen auszudrücken

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