An Essay on Perspective

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1724 edition. Excerpt: ...of C E. t. _._. Method. IU. 71. For inclined Lines not meeting the Geometrical Plane. 3-7 Let A and B be the Seats of the Extremities of the given Line. Let X reprefent a Plane paffing through the given Line perpendicular to the Geometrical Plane. Likewife let M N in this Plane, reprefent the Line whofe Perfpe&ive is requir'd;, and let CN and P M be perpendicular to the Geometrical Plane: Whence PC reprefents A B, and confequently is equal thereto....-Operation. Find the Point I, the Perfpeftive of a Point, above the Points, the Height of C N. and draw the Line B S, from the Point 5, to the Station Point /, cutting the Bafe Line in j and from the Point J, draw a Line to the accidental Point Fs, which cut by a Perpendicular to the Bafe Line, raifed at the Point E j and then IT will be the Appearance fought. Method IV.. 72. For inclined Lines parallel to the perfpeSlvs pj-The The Operation of Prob. VII. muft be ufeX here, but with this Difference ( fee Fig. of the fad Prob. ) that whereas a I in the faid Problem is perpendicular to the Bafe Line, here it muft make an Angle with the Bafe Line, equal to the. Angle of Inclination of the given Lines. For the Demonftration of this, fee n. 7, and 10, Prob. XIV. 73. To throw a Body into Perfpetlive, laving vrne one or all of its Sides inclined to the Geometri fal Plane. The Appearances of the Lines forming the Angles of the propofed Body muft be found: And this may be eafily done by Prob. 10. which takes in all the Cafes. And in this Manner the Appearance of a Pyramid, an inclined Prifm, &c. may be found. But neverthelefs, it happens fometimes, that the Operations of the pre-."-' cedent Problem may be abbreviated as when the Extremity of feveral Lines are found in one and the fame Line, ...show more

Product details

• Paperback | 32 pages
• 189 x 246 x 2mm | 77g
• Miami Fl, United States
• English
• black & white illustrations
• 1236532988
• 9781236532985