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 |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 5
... be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same POSTULATES . 5 POSTULATES. ...
... be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same POSTULATES . 5 POSTULATES. ...
Σελίδα 7
... distance AB , describe ( Postulate 3. ) the circle BCD ; and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw ( Post . 1. ) the straight lines CA , CB ...
... distance AB , describe ( Postulate 3. ) the circle BCD ; and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw ( Post . 1. ) the straight lines CA , CB ...
Σελίδα 8
... distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to C. D E B Because A is the centre of the circle DEF , ( Def . 15. ) 1. AE is equal to AD ; but the straight line C is likewise equal to AD ( Constr . ) ; whence ...
... distance AD , describe ( Post . 3. ) the circle DEF : AE shall be equal to C. D E B Because A is the centre of the circle DEF , ( Def . 15. ) 1. AE is equal to AD ; but the straight line C is likewise equal to AD ( Constr . ) ; whence ...
Σελίδα 16
... distance CD , describe ( Post . 3. ) the circle EGF meeting AB in F , G ; and bisect ( I. 10. ) FG in H , and join CH ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . C E II G B D ...
... distance CD , describe ( Post . 3. ) the circle EGF meeting AB in F , G ; and bisect ( I. 10. ) FG in H , and join CH ; the straight line CH , drawn from the given point C , is perpendicular to the given straight line AB . C E II G B D ...
Σελίδα 23
... distance FD , describe ( Post . 3. ) the circle DKL ; and from the centre G , at the distance GH , describe another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines A , B , C. K D G H LA ...
... distance FD , describe ( Post . 3. ) the circle DKL ; and from the centre G , at the distance GH , describe another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the three straight lines A , B , C. K D G H LA ...
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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