The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 209
In the greater of two spheres which have the same centre , to inscribe a polyhedron the superficies or faces of which shall ... Let there be two spheres having the same centre A. It is required to inscribe in the greater sphere a solid ...
In the greater of two spheres which have the same centre , to inscribe a polyhedron the superficies or faces of which shall ... Let there be two spheres having the same centre A. It is required to inscribe in the greater sphere a solid ...
Σελίδα 211
XV . , Book III . , that A Z is greater than A G. But A Z is per- pendicular to the plane K BOS , and is , therefore , the shortest of all the straight lines that can be drawn from A , the centre of the sphere , to that plane .
XV . , Book III . , that A Z is greater than A G. But A Z is per- pendicular to the plane K BOS , and is , therefore , the shortest of all the straight lines that can be drawn from A , the centre of the sphere , to that plane .
Σελίδα 212
Every face of a polyhedron inscribed in a sphere is inscribable in a circle . PROP . XVIII . THEOREM . Spheres have to one another the triplicate ratio of that which their diameters have . Let A B C and D E F be two spheres , of which ...
Every face of a polyhedron inscribed in a sphere is inscribable in a circle . PROP . XVIII . THEOREM . Spheres have to one another the triplicate ratio of that which their diameters have . Let A B C and D E F be two spheres , of which ...
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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 |