By W. Abbott C.M.G., O.B.E., Ph.D., B.Sc., M.I..Mech.E., M.R.I. (auth.)
HIS e-book is meant to supply A direction IN functional Geometry for engineering scholars who've already obtained a few guide in straight forward aircraft geometry, graph plotting, and the use T of vectors. It additionally covers the necessities of Secondary tuition students taking functional Geometry on the complex point. The grouping followed, during which airplane Geometry is handled partially I, and good or Descriptive Geometry partially II, is synthetic, and it's the goal that the 2 components might be learn at the same time. The logical therapy of the topic provides many problems and the series of the later chapters in either components is inevitably a compromise; for example, definite of the easier inter sections and advancements may possibly with virtue be taken at an previous degree than that indicated. partly I substantial area has been dedicated to Engineering images, relatively to the functions of graphical integration. using graphical tools of computation is absolutely justified in such a lot engineering difficulties of a realistic nature-especially the place analytical tools may end up hard -the effects received being as exact because the info warrant.
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Additional info for Practical Geometry and Engineering Graphics: A Textbook for Engineering and Other Students
Example text
These pairs intersect in the points P, Q and R respectively. Pascal's Theorem states that P, Q and R lie in a straight line. The hexagon can be taken as abfedca ; and then another straight line such as PQR results. A useful construction, used in Problem 54b on the next page, is that for a conic required to pass through a given point and to touch two tangents at given points. This construction will be approached by considering first the construction for extra points on (a) a conic defined by five points; and (b) a conic defined by a tangent point and three points.
A useful construction, used in Problem 54b on the next page, is that for a conic required to pass through a given point and to touch two tangents at given points. This construction will be approached by considering first the construction for extra points on (a) a conic defined by five points; and (b) a conic defined by a tangent point and three points. (a) Extra points on a conic defined by five points. Suppose the five points a c d e f (fig. I) to be given, but not b. We wish to obtain points such as b.
31 R PROBLEM 44 TO CONSTRUCT AN ELLIPSE B BY THE TRAMM EL METHOD. DR SHORT TRAMMEL . I kJ c I I R LONe i TRAMMEL fp B D A c PROBLEM TO CONSTRUCT AN APPROXIMATE §l TRAMMEL FOR LARGE ELLIPSES . ELLIPSE USING ARCS OF CIRCLES . 32 CONIC SECTIONS-THE ELLIPSE Chap. 3 Conjugate Diameters. jugate, because PQ is pari to tangents at Rand S, or because RS is pari to tangents at P and Q. It may be proved that PO + SCI = VCI + BO. Two diams. are conjugate if they are so situated that each is pari to the tangents at the extremities of the other ; in fig.