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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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 9
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the base BC shall be equal to the base EF ; and the triangle ÅBC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal ...
Σελίδα 13
The angle BAC is equal to the angle EDF . D G А F B For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the point F , because BC ' is equal to ...
The angle BAC is equal to the angle EDF . D G А F B For if the triangle ABC be applied to DEF , so that the point B be on E , and the straight line BC upon EF ; 1 . The point C shall coincide with the point F , because BC ' is equal to ...
Σελίδα 14
The angle DAF is equal to the angle EAF ; wherefore 4 . The angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. -PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts ...
The angle DAF is equal to the angle EAF ; wherefore 4 . The angle BAC is bisected by the straight line AF . Which was to be done . PROP . X. -PROBLEM . To bisect a given finite straight line , that is , to divide it into two equal parts ...
Σελίδα 19
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they ... BC be produced to D , the exterior angle ACD is greater than either of the interior opposite angles CBA , BAČ .
From this it is manifest , that , if two straight lines cut one another , the angles they make at the point where they ... BC be produced to D , the exterior angle ACD is greater than either of the interior opposite angles CBA , BAČ .
Σελίδα 20
BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . - THEOREM . The greater side of every triangle is opposite to the greater angle .
BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q.E.D. PROP . XVIII . - THEOREM . The greater side of every triangle is opposite to the greater angle .
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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 |