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 EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 70
EUCLID., Samuel A. GOOD. Let the two circles ABC , CDE , touch one another internally in the point C ; they have not ... circle ABC , ( I. Def . 15. ) 1. CF is equal to FB ; also , because F is the centre of the circle CDE , 2 . CF is ...
EUCLID., Samuel A. GOOD. Let the two circles ABC , CDE , touch one another internally in the point C ; they have not ... circle ABC , ( I. Def . 15. ) 1. CF is equal to FB ; also , because F is the centre of the circle CDE , 2 . CF is ...
Σελίδα 71
... circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those ... ABC be a circle , and D any point BOOK III . - PROP . VII . VIII . 71.
... circle , and straight lines be drawn from it to the circumference , whereof one passes through the centre ; of those ... ABC be a circle , and D any point BOOK III . - PROP . VII . VIII . 71.
Σελίδα 72
... circle ABC , and join ME , MF , MC , MK , ML , MH . And because AM is equal to ME , add MD to each , therefore ( Ax . 2. ) 1. AD is equal to EM , MD ; but EM , MD , are greater ( I. 20. ) than ED ; therefore also 2. AD is greater than ...
... circle ABC , and join ME , MF , MC , MK , ML , MH . And because AM is equal to ME , add MD to each , therefore ( Ax . 2. ) 1. AD is equal to EM , MD ; but EM , MD , are greater ( I. 20. ) than ED ; therefore also 2. AD is greater than ...
Σελίδα 73
... circle . F DE G C B For , if not , let E be the centre , join DE and produce it to the circum- ference in F , G ; then FG is a diameter ( I. Def . 17. ) of the circle ABC : and because in FG , the diameter of the circle ABC , there is ...
... circle . F DE G C B For , if not , let E be the centre , join DE and produce it to the circum- ference in F , G ; then FG is a diameter ( I. Def . 17. ) of the circle ABC : and because in FG , the diameter of the circle ABC , there is ...
Σελίδα 74
... circle ABC , and join KB , KG , KF . And because within the circle DEF there is taken the point K , from which to the circumference DEF fall more than two equal straight lines KB , KG , KF , ( III . 9. ) 1. The point K is the centre of ...
... circle ABC , and join KB , KG , KF . And because within the circle DEF there is taken the point K , from which to the circumference DEF fall more than two equal straight lines KB , KG , KF , ( III . 9. ) 1. The point K is the centre of ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle
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 |