The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 190
LEMMA I. If from the greater of two unequal magnitudes of the same kind , there be taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the ...
LEMMA I. If from the greater of two unequal magnitudes of the same kind , there be taken more than its half , and from the remainder more than its half ; and so on : there will at length remain a magnitude less than the least of the ...
Σελίδα 200
E H FC , CG , GD , DH , and HA and each of the triangles AEB , BFC , CG D , and D H A is greater than the half of the segment of the circle which contains it ( XII . 2 ) . Erect prisms upon each of these triangles , of the same altitude ...
E H FC , CG , GD , DH , and HA and each of the triangles AEB , BFC , CG D , and D H A is greater than the half of the segment of the circle which contains it ( XII . 2 ) . Erect prisms upon each of these triangles , of the same altitude ...
Σελίδα 201
Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus bisecting each of the arcs and joining the points of bisection ...
Each of these pyramids is greater than the half of the segment of the cone which contains it , as was before demonstrated of the prisms and segments of the cylinder and thus bisecting each of the arcs and joining the points of bisection ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 |