The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 29
Corollary . A quadrilateral which has two of its opposite sides equal and parallel , is a parallelogram . - See the following definition : - DEFINITION XXXVI . A parallelogram is a four - sided figure of which the opposite sides are ...
Corollary . A quadrilateral which has two of its opposite sides equal and parallel , is a parallelogram . - See the following definition : - DEFINITION XXXVI . A parallelogram is a four - sided figure of which the opposite sides are ...
Σελίδα 91
Corollary 2. - The angle A is one - tenth of four right angles , the arc B D is one - tenth of the circumference , and the chord BD is the side of a regular decagon inscribed in the circle B D E. Corollary 3.
Corollary 2. - The angle A is one - tenth of four right angles , the arc B D is one - tenth of the circumference , and the chord BD is the side of a regular decagon inscribed in the circle B D E. Corollary 3.
Σελίδα 141
Q. E. D. COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of ...
Q. E. D. COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Συγγραφέας | Euclid |
| Έκδοση | 82 |
| Εκδότης | Cassell, Petter, and Galpin, 1859 |
| Μέγεθος | 212 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |