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Titre : | Thirteen Books of Euclid's Elements Vol. 2 |
Auteurs : | Euclid |
Type de document : | document électronique |
Editeur : | [S.l.] : Forgotten Books, 2012 |
Résumé : |
Equal circles are those the diameters of which are equal, or the radii of which are equal. 2. ,A straight line is said to touch a circle which, meeting the circle and being produced, does not cut the circle. 3. Circles are said to touch one another which, meeting one another, donot cut one another. 4. In a circle straight lines are said to be equally distant from the centre when the perpendiculars drawn to them from the centre are equal. 5. And that straight line is said to be at a greater distance on which the greater perpendicular falls. 6. A segment of a circle is the figure contained by a straight line and a circumference of a circle. 7. An angle of a segment is that contained by a straight line and a circumference of a circle. 8. An angle in a segment is the angle which, when a point is taken on the circumference of the segment and straight lines are joined from it to the extremities of the straight line which is the base of the segment, is contained by the straight lines so joined. 9. A nd, when the straight lines containing the angle cut off a circumference, the angle is said to stand upon that circumference. H. E. II. (Typographical errors above are due to OCR software and don't occur in the book.) **About the Publisher** Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology. Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org ** |