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 19
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where ... If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where ... If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles .
Σελίδα 20
Let ABC be any triangle ; any two of its angles together are less than two right angles . A C B D Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ( I. 16. ) 1 . ACD is greater than the interior and opposite ...
Let ABC be any triangle ; any two of its angles together are less than two right angles . A C B D Produce BC to D ; and because ACD is the exterior angle of the triangle ABC , ( I. 16. ) 1 . ACD is greater than the interior and opposite ...
Σελίδα 23
Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( I. 16. ) 1 . The exterior angle BDC of the triangle CDE is greater than CED . For the same reason , 2 . The exterior angle CEB of the ...
Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( I. 16. ) 1 . The exterior angle BDC of the triangle CDE is greater than CED . For the same reason , 2 . The exterior angle CEB of the ...
Σελίδα 27
The two AB , BC , are equal to the two DE , EF , each to each ; and the angle ABC is equal ( Hyp . ) ... The angle BHA is equal to the angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite ...
The two AB , BC , are equal to the two DE , EF , each to each ; and the angle ABC is equal ( Hyp . ) ... The angle BHA is equal to the angle BCA , that is , the exterior angle BHA of the triangle AHC is equal to its interior and opposite ...
Σελίδα 28
If a straight line , falling upon two other straight lines , make the alternate angles equal to one another , these two straight lines shall be parallel , Let the ... GEF is a triangle , and its exterior angle AEF is greater ( I. 16. ) ...
If a straight line , falling upon two other straight lines , make the alternate angles equal to one another , these two straight lines shall be parallel , Let the ... GEF is a triangle , and its exterior angle AEF is greater ( I. 16. ) ...
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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 |