The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Σελίδα 29
Because the angle EGB is equal to the angle GHD , and the angle EGB equal ( I. 15. ) to the angle AGH , 1 . The angle AGH is equal to the angle GHD , and they are alternate angles ; therefore ( I. 27. ) 2 . AB is parallel to CD .
Because the angle EGB is equal to the angle GHD , and the angle EGB equal ( I. 15. ) to the angle AGH , 1 . The angle AGH is equal to the angle GHD , and they are alternate angles ; therefore ( I. 27. ) 2 . AB is parallel to CD .
Σελίδα 30
but those straight lines which , with another straight line falling upon them , make the interior angles on the same side less than two right ... The angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but ( I. 15. ) ...
but those straight lines which , with another straight line falling upon them , make the interior angles on the same side less than two right ... The angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but ( I. 15. ) ...
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AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Συγγραφείς | EUCLID., Samuel A. GOOD |
| Έκδοση | 2 |
| Εκδότης | Charles Henry Law, 1854 |
| Πρωτότυπο από | Η Βρετανική βιβλιοθήκη |
| Ψηφιοποιήθηκε στις | 10 Δεκ. 2013 |
| Μέγεθος | 120 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |