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Index
Transcriber’s Note
The Elements of Perspective
Contents
Preface
Introduction
I. The Sight-Point
II. The Sight-Line
III. The Station-Line
IV. The Station-Point
PROBLEM I
To fix the position of a given point
PROBLEM II
To draw a right line between two given points
Corollary I
Corollary II
Corollary III
PROBLEM III
To find the vanishing-point of a given horizontal line
Corollary I
Corollary II
Corollary III
Corollary IV
PROBLEM IV
To find the dividing-points of a given horizontal line
PROBLEM V
To draw a horizontal line, given in position and magnitude, by means of its sight-magnitude and dividing-points
Corollary I
Corollary II
PROBLEM VI
To draw any triangle, given in position and magnitude, in a horizontal plane
PROBLEM VII
To draw any rectilinear quadrilateral figure, given in position and magnitude, in a horizontal plane
Corollary
PROBLEM VIII
To draw a square, given in position and magnitude, in a horizontal plane
Corollary I
Corollary II
Corollary III
PROBLEM IX
To draw a square pillar, given in position and magnitude, its base and top being in horizontal planes
Corollary
PROBLEM X
To draw a pyramid, given in position and magnitude, on a square base in a horizontal plane
PROBLEM XI
To draw any curve in a horizontal or vertical plane
Corollary
PROBLEM XII
To divide a circle drawn in perspective into any given number of equal parts
Corollary
PROBLEM XIII
To draw a square, given in magnitude, within a larger square given in position and magnitude; the sides of the two squares being parallel
Corollary
PROBLEM XIV
To draw a truncated circular cone, given in position and magnitude, the truncations being in horizontal planes, and the axis of the cone vertical
Corollary I
Corollary II
Corollary III
PROBLEM XV
To draw an inclined line, given in position and magnitude
Observation.
PROBLEM XVI
To find the vanishing-point of a given inclined line
PROBLEM XVII
To find the dividing-points of a given inclined line
PROBLEM XVIII
To find the sight-line of an inclined plane in which two lines are given in position
PROBLEM XIX
To find the vanishing-point of steepest lines in an inclined plane whose sight-line is given
PROBLEM XX
To find the vanishing-point of lines perpendicular to the surface of a given inclined plane
APPENDIX
I. Practice and observations on the preceding problems
Problem I
Problem IX
Problem X
Problem XI
Problem XIV
Problem XVI
Problem XVIII
II. Demonstrations which could not conveniently be included in the text
I. The second corollary, Problem II
II. The third corollary, Problem III
III. Analysis of Problem XV
Transcriber’s Note
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