The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 9
... triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that ...
... triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . A D B E For if the triangle ABC be applied to DEF , so that ...
Σελίδα 10
... angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , ...
... angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC , be produced to D and E , the angle ABC shall be equal to the angle ACB , ...
Σελίδα 11
... angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is ...
... angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is ...
Σελίδα 12
... angle ACD is equal to the angle ADC . But the angle ACD is greater than the angle BCD ( Ax . 9. ) ; therefore also 2 ... ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , ( I. 5. ) the angles upon the ...
... angle ACD is equal to the angle ADC . But the angle ACD is greater than the angle BCD ( Ax . 9. ) ; therefore also 2 ... ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , ( I. 5. ) the angles upon the ...
Σελίδα 20
... angle ABC ; to each of these add the angle ACB ; therefore 2. The angles ACD , ACB , are greater than the angles ABC , ACB ; but ( I. 13. ) therefore 3 . ACD , ACB , are together equal to two right angles ; 4. The angles ABC , BCA , are ...
... angle ABC ; to each of these add the angle ACB ; therefore 2. The angles ACD , ACB , are greater than the angles ABC , ACB ; but ( I. 13. ) therefore 3 . ACD , ACB , are together equal to two right angles ; 4. The angles ABC , BCA , are ...
Άλλες εκδόσεις - Προβολή όλων
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