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 6 - 10 από τα 36.
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
... circumference HLKG , the least is DG between the point D and the diameter AG ; and the nearer to it is always less than the more remote , viz . DK than DL , and DL than DH . D BN M A Take ( III . 1. ) M the centre of the circle ABC ...
... circumference HLKG , the least is DG between the point D and the diameter AG ; and the nearer to it is always less than the more remote , viz . DK than DL , and DL than DH . D BN M A Take ( III . 1. ) M the centre of the circle ABC ...
Σελίδα 73
... circle , from which there fall more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there fall more than two ...
... circle , from which there fall more than two equal straight lines to the circumference , that point is the centre of the circle . Let the point D be taken within the circle ABC , from which to the circumference there fall more than two ...
Σελίδα 74
... circle ABC . Wherefore if a point be taken , & c . Q.E.D. PROP . X. - THEOREM . One circumference of a circle cannot cut another in more than two points . If it be possible , let the circumference FAB cut the circumference DEF in more ...
... circle ABC . Wherefore if a point be taken , & c . Q.E.D. PROP . X. - THEOREM . One circumference of a circle cannot cut another in more than two points . If it be possible , let the circumference FAB cut the circumference DEF in more ...
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