The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 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 ...
Seite 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 ...
Seite 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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