The Elements of Perspective / arranged for the use of schools and intended to be read in connection with the first three books of Euclid

[p v ] CONTENTS. PAGE

John Ruskin Preface	ix
Introduction	1
PROBLEM I.
To fix the Position of a given Point	10
PROBLEM II.
To draw a Right Line between two given Points	13
PROBLEM III.
To find the Vanishing-Point of a given Horizontal Line	17
PROBLEM IV.
To find the Dividing-Points of a given Horizontal Line	23
PROBLEM V.
To draw a Horizontal Line, given in Position and Magnitude, by means of its Sight-Magnitude and Dividing-Points	24
PROBLEM VI.
To draw any Triangle, given in Position and Magnitude, in a Horizontal Plane	27
PROBLEM VII.
To draw any Rectilinear Quadrilateral Figure, given in Position and Magnitude, in a Horizontal Plane	29
PROBLEM VIII.
To draw a Square, given in Position and Magnitude, in a Horizontal Plane	31
[pvi] PROBLEM IX.
To draw a Square Pillar, given in Position and Magnitude, its Base and Top being in Horizontal Planes	34
PROBLEM X.
To draw a Pyramid, given in Position and Magnitude, on a Square Base in a Horizontal Plane	36
PROBLEM XI.
To draw any Curve in a Horizontal or Vertical Plane	38
PROBLEM XII.
To divide a Circle drawn in Perspective into any given Number of Equal Parts	42
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	45
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	47
PROBLEM XV.
To draw an Inclined Line, given in Position and Magnitude	50
PROBLEM XVI.
To find the Vanishing-Point of a given Inclined Line	53
PROBLEM XVII.
To find the Dividing-Points of a given Inclined Line	55
PROBLEM XVIII.
To find the Sight-Line of an Inclined Plane in which Two Lines are given in Position	57
[p vii] PROBLEM XIX.
To find the Vanishing-Point of Steepest Lines in an Inclined Plane whose Sight-Line is given	59
PROBLEM XX.
To find the Vanishing-Point of Lines perpendicular to the Surface of a given Inclined Plane	61
APPENDIX.
I.
Practice and Observations on the preceding Problems	69
II.
Demonstrations which could not conveniently be included in the Text	99

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