Items related to The first six books of the Elements of Euclid, and...
Synopsis
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. 1885 Excerpt: ...the perpendicular from the right angle of the hypotenuse, and the circle described about the rightangled triangle. Questions for Examination on Book III. 1. What is the subject-matter of Book III.? 2. Define equal circles. 3. What is the difference between a chord and a secant? 4. When does a secant become a tangent? 5. What is the difference between a segment of a circle and a sector p 6. What is meant by an angle in a segment? 7. If an arc of a circle be one-sixth of the whole circumference, what is the magnitude of the angle in it? 8. What are linear segments? 9. What is meant by an angle standing on a segment? 10. What are concyclic points? 11. What is a cyclic quadrilateral? 12. How many intersections can a line and a circle have? 13. What does the line become when the points of intersection become consecutive? 14. How many points of intersection can two circles have? 15. What is the reason that if two circles touch they cannot have any other common point? 16. Give one enunciation that will include Propositions xi., xii. of Book III. 17. What Proposition is this a limiting case of? 18. Explain the extended meaning of the word angle. 19. What is Euclid's limit of an angle? 20. State the relations between Propositions xvi., xviii., xix. 21. What Propositions are these limiting cases of? 22. How many common tangents can two circles have? 23. What is the magnitude of the rectangle of the segments of a chord drawn through a point 3-65 metres distant from the centre of a circle whose radius is 4-25 metres? 24. The radii of two circles are 425 and 1 '75 feet respectively, and the distance between their centres 6'5 feet; find the lengths of their direct and their transverse common tangents. 25. If a point be h feet outside the circumference of a circle whose d...
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- PublisherRareBooksClub.com
- Publication date2012
- ISBN 10 1130482669
- ISBN 13 9781130482669
- BindingPaperback
- LanguageEnglish
- Number of pages74
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