The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 83
I. ONE rectilineal figure is said to be inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain ...
I. ONE rectilineal figure is said to be inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain ...
Σελίδα 141
Therefore , universally , similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . COROLLARY 2. - If to A B and FG , two of the homologous sides of the polygon , a third proportional M be taken ...
Therefore , universally , similar rectilineal figures are to one another in the duplicate ratio of their homologous sides . COROLLARY 2. - If to A B and FG , two of the homologous sides of the polygon , a third proportional M be taken ...
Σελίδα 145
Upon G H describe the rectilineal figure K G H similar and similarly situated to the figure ABC ( VI . 18 ) . Because BC is to GH , as G H is to CF ; and if three straight lines be proportionals , as the first is to the third , so is ...
Upon G H describe the rectilineal figure K G H similar and similarly situated to the figure ABC ( VI . 18 ) . Because BC is to GH , as G H is to CF ; and if three straight lines be proportionals , as the first is to the third , so is ...
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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 |