Intermediate Geometry; Experimental, Theoretical, Practical

Intermediate Geometry; Experimental, Theoretical, Practical

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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. 1908 edition. Excerpt: ...9. What is the locus of the middle points of the radii of a circle? 10. A point C is 1" from a line AB. D is a variable point on AB. CD is produced to P so that DP = 1." Find 12 points on the locus of P. 11. Draw a circle of 3" radius. Take a point A on its circumference. Through A draw 12 chords. Plot the locus of the middle points of the chords. What is the locus? Find its radius. 12. Draw a circle of 3" radius. Draw 10 parallel chorda. Plot the locus of their middle points. 13. Draw a circle of 2" radius. Take a point P 4" from the centre. From P draw 10 lines to meet the circumference of the circle. Plot the locus of the middle points of these lines. 14. Points P, Q are taken on two fixed straight lines OX, OY (not at right angles to each other), so that PQ is of constant length. Plot the locua of the middle point of PQ. 15. Draw a line AB 4" long. Through A draw 12 lines. Through B draw lines perpendicular to these lines. What is the locus of the vertices of the resulting 12 right-angled triangles? Find its radius. 16. AB is a fixed line 6 cm. long. Find the locus of a point P which moves so that AP + BP = 8 cm. Definition: If a point moves so as to satisfy certain conditions, the path traced out by the point is called its Locus. In order to prove that a particular line (or lines) is the required locus of a point, it is necessary to prove--(1) That any point which satisfies the given condition is on the line. (2) That every point on the line satisfies the given condition. Propositions On Loci 1. Find the locua of a point which is equidistant from two given points A and B. Const, and Proof: Join AB; bisect AB in C. Then C is a point on the required locus. (1) Let P be a point on the locus. Join AP, BP, PC....
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Product details

  • Paperback | 62 pages
  • 189 x 246 x 3mm | 127g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236606159
  • 9781236606150