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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 |