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 18
... likewise together equal to two right angles ( Hyp . ) ; therefore ( Ax . 1. ) 2. The angles CBA , ABE , are equal to the angles CBA , ABD . Take away the common angle ABC , and ( Ax . 3. ) 3 . The remaining angle ABE is equal to the ...
... likewise together equal to two right angles ( Hyp . ) ; therefore ( Ax . 1. ) 2. The angles CBA , ABE , are equal to the angles CBA , ABD . Take away the common angle ABC , and ( Ax . 3. ) 3 . The remaining angle ABE is equal to the ...
Σελίδα 21
... likewise 3. The angle ABD is greater than the angle ACB , wherefore much more 4. The angle ABC is greater than ACB . Therefore the greater side , & c . Q.E.D. PROP . XIX . - THEOREM . The greater angle of every triangle is subtended by ...
... likewise 3. The angle ABD is greater than the angle ACB , wherefore much more 4. The angle ABC is greater than ACB . Therefore the greater side , & c . Q.E.D. PROP . XIX . - THEOREM . The greater angle of every triangle is subtended by ...
Σελίδα 22
... likewise ( I. 5. ) 1 . The angle ADC is equal to ACD ; but the angle BCD is greater than the angle ACD ; therefore 2 . The angle BCD is greater than the angle ADC ; and because the angle BCD of the triangle DCB is greater than its angle ...
... likewise ( I. 5. ) 1 . The angle ADC is equal to ACD ; but the angle BCD is greater than the angle ACD ; therefore 2 . The angle BCD is greater than the angle ADC ; and because the angle BCD of the triangle DCB is greater than its angle ...
Σελίδα 25
... each to each , viz . AB equal to DE , and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF . A Ꭰ B E 2 For if it be not greater , it must either BOOK I. - PROP . XXIV . XXV . 25.
... each to each , viz . AB equal to DE , and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF . A Ꭰ B E 2 For if it be not greater , it must either BOOK I. - PROP . XXIV . XXV . 25.
Σελίδα 27
... likewise in this case , the other sides shall be equal , AC to DF , and BC to EF ; and also the third angle BAC to the third EDF . D B H C E For if BC be not equal to EF , let BC be the greater of them , and make BH equal to EF , and ...
... likewise in this case , the other sides shall be equal , AC to DF , and BC to EF ; and also the third angle BAC to the third EDF . D B H C E For if BC be not equal to EF , let BC be the greater of them , and make BH equal to EF , and ...
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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 |
| Εκδότης | Charles Henry Law, 1854 |
| Πρωτότυπο από | Η Βρετανική βιβλιοθήκη |
| Ψηφιοποιήθηκε στις | 10 Δεκ. 2013 |
| Μέγεθος | 120 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |