An Elementary Treatise on Analytic Geometry, Embracing Plane Geometry and an Introduction to Geometry of Three Dimensions

Cover
D. Van Nostrand, 1880 - 287 Seiten
 

Was andere dazu sagen - Rezension schreiben

Es wurden keine Rezensionen gefunden.

Inhalt

Conjugate Diameters in the Hyperbola 1
171
ART PAGE 172 Equations of a Right Line 244 172 Equations of a Right Line
172
Tangent Parallel to a Conjugate Diameter 112
174
Length of Central Perpendicular on Tangent 1783
175
Equation of Hyperbola referred to Conjugate Diameters
176
124
178
Focal Chords
179
Intersection of Tangents at Right Angles
180
Rectangle of Focal Perpendiculars 129 Polar Equation of Hyperbola
181
Polar Equation referred to the Centre
182
Properties peculiar to Hyperbola
184
Equation of Hyperbola referred to Asymptotes 85
187
Intercepts of Secant between Hyperbola and Asymptotes
191
Examples
192
CHAPTER VIII
196
First Transformation
197
Second Transformation
199
Relations between Coefficients of Transformation
203
Properties of Transformation
204
Noncentral Locus
205
Examples
207
The Witch of Agnesi
224
Spirals
230
PART II
237
CHAPTER III
255
Traces of a Plane
256
The Equation of the First Degree
257
Equations in Terms of Intercepts 0
258
Length of Perpendicular from a Given Point
260
Angle between Two Planes
261
Angle between a Line and a Plane
263
Examples
264
SURFACES OF REVOLUTION 185 Definition Meridian Sections and Planes
268
Equation of a Right Circular Cone 188 Equation of a Cylinder
269
Equation of a Sphere
270
Equation of a Paraboloid of Revolution 27
271
The Prolate Spheroid Note
274
The Oblate Spheroid 1 Hyperboloids of Revolution 1
275
Hyperboloid of Revolution of One Nappe
276
Sections of a Cone
278
Tangent Plane to an Ellipsoid
281
Urheberrecht

Häufige Begriffe und Wortgruppen

Beliebte Passagen

Seite 2 - The Geology of Pennsylvania. A Government survey, with a general view of the Geology of the United States, Essays on the Coal Formation and its Fossils, and a description of the Coal Fields of North America and Great Britain.
Seite 17 - A Practical Treatise on the Examination of Milk and its Derivatives, Cream, Butter and Cheese.
Seite 13 - AXON, WEA The Mechanic's Friend. A Collection of Receipts and Practical Suggestions relating to Aquaria, Bronzing, Cements, Drawing, Dyes, Electricity, Gilding, Glass-working, Glues, Horology, Lacquers, Locomotives, Magnetism, Metal-working...
Seite 12 - CLEVENGER (SR). A Treatise on the Method of Government Surveying as prescribed by the US Congress and Commissioner of the General Land Office, with complete Mathematical, Astronomical and Practical Instructions for the use of the United States Surveyors in the field.
Seite 21 - SHUNK, WF The Field Engineer. A Handy Book of practice in the Survey, Location and Track-work of Railroads, containing a large collection of Rules and Tables, original and selected, applicable to both the Standard and Narrow Gauge, and prepared with special reference to the wants of the young. Engineer.
Seite 19 - ... Solids, Tables of Squares and Cubes, Square and Cube Roots, Circumference and Areas of Circles, the Mechanical Powers. Centres of Gravity, Gravitation of Bodies, Pendulums, Specific Gravity of Bodies, Strength, Weight, and Crush of Materials...
Seite 1 - Lowell Hydraulic Experiments. Being a selection from experiments on Hydraulic Motors, on the Flow of Water over Weirs, in open Canals of uniform rectangular section, and through submerged Orifices and diverging Tubes. Made at Lowell, Mass.
Seite 20 - SCHUMANN, F. A Manual of Heating and Ventilation in its Practical Application, for the use of Engineers and Architects. Embracing a Series of Tables and Formulae for Dimensions of Heating, Flow and Return Pipes for Steam and Hot-water Boilers, Flues, etc.
Seite 5 - A. TREATISE ON THE RICHARDS STEAM-ENGINE INDICATOR, — and the Development and Application of Force in the Steam-Engine. By CHARLES T. PORTER.
Seite 13 - Rules of Geometry are familiarly explained; the Practical Problems are arranged from the most simple to the more complex, and in their description technicalities are avoided as much as possible.

Bibliografische Informationen