The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 140
Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the same ratio that the polygons have ; and the polygons have to one another the duplicate ratio of that which their ...
Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the same ratio that the polygons have ; and the polygons have to one another the duplicate ratio of that which their ...
Σελίδα 141
Wherefore , similar polygons , & c . 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 ...
Wherefore , similar polygons , & c . 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 ...
Σελίδα 193
its vertex the point D. The pyramid may be divided into two equal and similar triangular pyramids similar to the whole pyramid , and two equal prisms which are together greater than half of the whole pyramid .
its vertex the point D. The pyramid may be divided into two equal and similar triangular pyramids similar to the whole pyramid , and two equal prisms which are together greater than half of the whole pyramid .
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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 |