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Problems in illustration of the principles of plane coordinate geometry

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Public Domain Mark 1.0. You can find more information here.

Bibliographic data

fullscreen: Problems in illustration of the principles of plane coordinate geometry

Multivolume work

Persistent identifier:
192853029X
Title:
Müller-Pouillet's Lehrbuch der Physik und Meteorologie
Sub title:
in vier Bänden : mit über 3000 Abbildungen und Tafeln, zum Teil in Farbendruck
Type of content:
Lehrbuch
Edition title:
Zehnte umgearbeitete und vermehrte Auflage
Year of publication:
1905
Place of publication:
Braunschweig
Hannover
Publisher of the original:
Druck und Verlag von Friedrich Vieweg und Sohn
Identifier (digital):
192853029X
Original title:
Eléments de physique expérimentale et de météorologie
Language:
German
Additional Notes:
Bände 1-4 erschienen ab 1905
Contributor:
Lummer, Otto
Wassmuth, A.
Pernter, Josef Maria
Drucker, Carl
Kaufmann, Walter
Nippoldt, Alfred
Editor:
Pfaundler von Hadermur, Leopold
Founder of work:
Müller, Johann Heinrich Jacob
Pouillet, Claude Servais Mathias
Publisher of the digital copy:
Technische Informationsbibliothek (TIB)
Document type:
Multivolume work

Volume

Persistent identifier:
1928784747
Author:
Lummer, Otto
Title:
Die Lehre von der strahlenden Energie (Optik)
Scope:
XXII, 880 Seiten, VIII teilweise gefaltete Tafeln
Notes on the digital copy:
Unvollständige Vorlage: Seiten 383-384 fehlen
Edition title:
Zehnte umgearbeitete und vermehrte Auflage
DOI:
10.14463/KXP:1928784747
Year of publication:
1907
Place of publication:
Braunschweig
Publisher of the original:
Druck und Verlag von Friedrich Vieweg und Sohn
Identifier (digital):
1928784747
Illustration:
Illustrationen, Diagramme
Signature of the source:
a 3947(2,1),10
Language:
German
Usage licence:
Public Domain Mark 1.0
Founder of work:
Müller, Johann Heinrich Jacob
Pouillet, Claude Servais Mathias
Publisher of the digital copy:
Technische Informationsbibliothek (TIB)
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2025
Document type:
Volume
Collection:
Physics

Table of contents

Title:
INHALTSVERZEICHNIS ZUM ZWEITEN BANDE.
Document type:
Multivolume work
Structure type:
Table of contents

Contents

Table of contents

  • Problems in illustration of the principles of plane coordinate geometry
  • Cover
  • ColorChart
  • Title page
  • PREFACE.
  • CONTENTS.
  • ERRATA.
  • STRAIGHT LINE.
  • SECTION I. Elementary Problems. Rectangular Axes.
  • SECTION II. Elementary Problems. Oblique Axes.
  • SECTION III. Polar Equation.
  • SECTION IV. Rectilinear Loci.
  • SECTION V. Transversals. Explicit Parameters.
  • SECTION VI. Transversals. Implicit Parameters.
  • SECTION VII. Rectilinear Areas.
  • CIRCLE.
  • SECTION I. Referred to two Perpendicular Diameters. Tangents.
  • SECTION II. Referred to two Perpendicular Diameters. Chords.
  • SECTION III. Referred to two Perpendicular Diameters. Points.
  • SECTION IV. Referred to any Rectangular Axes.
  • SECTION V. Referred to two Tangents as Axes of Coordinates.
  • SECTION VI. Referred to any Oblique Axes.
  • SECTION VII. Polar Coordinates.
  • SECTION VIII. Polar Equations to Tangents and Chords.
  • SECTION IX. Poles and Polars.
  • SECTION X. Radical Axes, Centres of Similitude, Ac.
  • SECTION XI. Inscribed and Circumscribed Polygons.
  • SECTION XII. Circular Loci.
  • PARABOLA.
  • SECTION I. Referred to the Axis and its Tangent. Ordinates.
  • SECTION II. Referred to the Axis and its Tangent. Tangents.
  • SECTION III. Referred to the Axis and its Tangent. Magical Equation to the Tangent.
  • SECTION IV. Referred to the Axis and its Tangent. Normals.
  • SECTION V. Referred to the Axis and its Tangent. Chords.
  • SECTION VI. Referred to the Axis and its Tangent. Focal Properties.
  • SECTION VII. Referred to a Tangent and its diameter as Axes.
  • SECTION VIII. Referred to two Tangents as Axes.
  • SECTION IX. Referred to any Rectangular Axes whatever. Reduction.
  • SECTION X. Polar Equation. Focus the Pole.
  • SECTION XI. Polar Equation. Vertex the Pole.
  • SECTION XII. Polar Equation. Pole a point in the Axis.
  • SECTION XIII. Polar Equation. Pole anywhere.
  • SECTION XIV. Linear Equation.
  • SECTION XV. Polar Equation to the Tangent.
  • SECTION XVI. Poles and Polars.
  • SECTION XVII. Intersection of Parabolas.
  • SECTION XVIII. Parabolic Loci.
  • SECTION XIX. Parabolic Envelops.
  • SECTION XX. Miscellaneous Problems.
  • ELLIPSE.
  • SECTION I. Referred to its Axes. Ordinates.
  • SECTION II. Referred to its Axes. Tangents.
  • SECTION III. Referred to its Axes. Magical Equation to the Tangent.
  • SECTION IV. Referred to its Axes. Normals.
  • SECTION V. Referred to its Axes. Chords.
  • SECTION VI. Referred to its Axes. Focal Properties.
  • SECTION VII. Referred to its Axes. Conjugate Diameters.
  • SECTION VIII. Referred to Axes parallel to the Axes of the Curve.
  • SECTION IX. Polar Equation. Centre the Pole.
  • SECTION X. Polar Equation. Focus the Pole.
  • SECTION XI. Polar Equation. End of the Axis Major the Pole.
  • SECTION XII. Polar Equation. End of the Axis Minor the Pole.
  • SECTION XIII. Polar Equation. Point in the Axis the Pole.
  • SECTION XIV. Polar Equation. Pole anywhere.
  • SECTION XV. Referred to Conjugate Diameters.
  • SECTION XVI. Deferred to any two Diameters.
  • SECTION XVII. Referred to any Rectangular Axes whatever. Reduction.
  • SECTION XVIII. Linear Equation.
  • SECTION XIX. Intersections of Ellipses.
  • SECTION XX. Polar Equation to the Tangent.
  • SECTION XXI. Polar Equation to a Chord.
  • SECTION XXII. Polar Equation to the Normal.
  • SECTION XXIII. Poles and Polars.
  • SECTION XXIV. Inscribed and Circumscribed Polygons.
  • SECTION XXV. Elliptic Loci.
  • SECTION XXVI. Elliptic Envelops.
  • SECTION XXVII. Miscellaneous Problems.
  • HYPERBOLA.
  • SECTION I. Referred to its Axes. Ordinates.
  • SECTION II. Referred to its Axes. Tangents.
  • SECTION III. Referred to its Axes. Magical Equation to the Tangent.
  • SECTION IV. Referred to its Axes. Focal Properties.
  • SECTION V. Referred to its Axes. Conjugate Diameters. Conjugate Hyperbola.
  • SECTION VI. Referred to its Axes. Asymptotes.
  • SECTION VII. Referred to its Transverse Axis and the Tangent at its Vertex.
  • SECTION VIII. Referred to Conjugate Diameters. Asymptotes.
  • SECTION IX. Referred to Conjugate Diameters. Conjugate Hyperbola.
  • SECTION X. Referred to any two Diameters. Conjugate Hyperbola.
  • SECTION XI. Referred to its Asymptotes.
  • SECTION XII. Referred to any Rectangular Axes.
  • SECTION XIII. Referred to any Rectangular Axes. Reduction.
  • SECTION XIV. Polar Equation. Centre the Pole.
  • SECTION XV. Polar Equation. Focus the Pole.
  • SECTION XVI. Polar Equation. Point in the Axis the Pole.
  • SECTION XVII. Polar Equation. Pole Anywhere.
  • SECTION XVIII. Poles and Polars.
  • SECTION XIX. Hyperbolic Loci.
  • SECTION XX. Miscellaneous Problems.
  • LINES OF THE SECOND ORDER.
  • SECTION I. Referred to a Principal Diameter and its Tangent. Normals.
  • SECTION II. Referred to a Principal Diameter and its Tangent. Chords.
  • SECTION III. Referred to a Principal Diameter and its Tangent. Focal Properties.
  • SECTION IV. Referred to any two Oblique Diameters.
  • SECTION V. Referred to two Tangents as Axes.
  • SECTION VI. Referred to a Tangent and Normal.
  • SECTION VII. Referred to any Axes whatever. Centres.
  • SECTION VIII. Referred to any Axes whatever. Tangents.
  • SECTION IX. Referred to any Axes whatever. Chords.
  • SECTION X. Referred to any Axes whatever. Directrix.
  • SECTION XI. Referred to any Axes whatever. Conjoint Lines and Circles.
  • SECTION XII. Passing through given Points.
  • SECTION XIII. Passing through given Points and touching given straight lines.
  • SECTION XIV. Determination of their Equations from given Conditions.
  • SECTION XV. Poles and Polars.
  • SECTION XVI. Polar Equations.
  • SECTION XVII. Linear Equation.
  • SECTION XVIII. Polar Equation to the Tangent.
  • SECTION XIX. Polar Equation to the Chord of a Conic Section.
  • SECTION XX. Inscribed Polygons.
  • SECTION XXI. Circumscribed Polygons.
  • SECTION XXII. Problems relating to several Curves.
  • SECTION XXIII. Intersections of Conic Sections. Common Chords.
  • SECTION XXIV. Double Contact.
  • SECTION XXV. Conical Loci.
  • SECTION XXVI. Envelopes.
  • SECTION XXVII. Similar Curves.
  • SECTION XXVIII. Miscellaneous Problems.
  • APPENDIX.
  • Cover

Full text

International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXVIII-4/W15 
5th International 3D Geolnfo Conference, November 3-4, 2010, Berlin, Germany 
163 
AN OPTIMIZED WORKFLOW FOR PROCESSING AIRBORNE LASERSCAN DATA IN 
A GIS-BASED ENVIRONMENT 
C. Stal, Ph. De Maeyer, A. De Wulf, T. Nuttens, A. Vanclooster, N. Van De Weghe 
Department of Geography, Ghent University, Krijgslaan 281, B-9000 Ghent, Belgium - (Cornelis.Stal, 
Philippe.DeMaeyer, Alain.DeWulf, Timothy.Nuttens, Ann.Vanclooster, Nico.VanDeWeghe)@UGent.be 
Commission IV, WG IV/8 
KEY WORDS: automation, DTM, GIS, LiDAR, modelling, processing 
ABSTRACT: 
This article will discuss a technique to convert raw or filtered laserscan-data to rasterized terrain or elevation models, by using 
ESRI’s ArcGIS and Python. This programming language is supported since ArcGIS 9 and makes it possible to use the ArcGIS geo 
processor’ (Rodman & Jackson, 2006). For these digital terrain models, filtered airborne laserscanning-data (ALS-data) are used, 
processed with automated tools from the 3D Analyst Tools. These tools will be programmed in such a way, a minimum intervention 
of the user is required. This procedure may look very comprehensive, but accessible as well. This is done to make it as transparent as 
possible and to allow only the direct ESRI's ArcGIS tools to be black boxes. The proposed procedure itself will make it possible to 
gain the scientist full control on the process, by using regular software and without thorough knowledge of programming. Executing 
the proposed procedure will result in a set of separate TIN’s, rasters, and a mosaic of rasters. 
1. INTRODUCTION 
One of the most important tools in geo-science are height maps 
and derived products. In different geographic subdomains, such 
as archaeology (Devereux, Amable, & Crow, 2008; Gallagher 
& Josephs, 2008), landscape science (Werbrouck, Van 
Eetvelde, Antrop, & De Maeyer, 2009) or hydrography (Cobby, 
Mason, & Davenport, 2001), these maps are widely used for a 
big variety of applications. With the introduction of LiDAR 
(Light Detecting and Ranging) and multibeam, scientists are 
able to dispose high-resolution datasets in a very short time and 
at a relatively low cost. But without further manipulations of the 
data, most of the geo-scientist will not be able to gather the 
information they need. That is why different transformations are 
required to obtain the desired products. The biggest bottlenecks 
in this process of transforming datasets in proper height maps 
are loading the points and interpolate them to a predefined 
raster. The first step is constrained by the amount of internal 
memory of the computer. The market offers several programs 
that overcome this problem, by using a direct link between the 
data file and the program. Without this intermediate step of 
stocking the data in a temporally database, the maximum size of 
a dataset can be exponential in comparison to regular GIS 
software. On one hand, commercial programs that are able to 
process huge point sets are expensive. On the other hand, open 
source software is rare, still in development stage or unfriendly 
to use for many geo-scientists. Consequently, it would be 
reasonable to use the GIS-software a geo-scientist normally has 
Figure 1: Overview of the study area with the used grid
	        

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