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 6 - 10 από τα 34.
Σελίδα 16
... straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is ...
... straight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let C be a point without it . It is ...
Σελίδα 23
... a triangle is greater than the inte- rior and opposite angle ( I. 16 ... given straight lines , but any two whatever of these must be greater than ... line 4 ; therefore 2 . FK is equal to A. Again , because G is the centre of ...
... a triangle is greater than the inte- rior and opposite angle ( I. 16 ... given straight lines , but any two whatever of these must be greater than ... line 4 ; therefore 2 . FK is equal to A. Again , because G is the centre of ...
Σελίδα 24
... straight lines KF , FG , GK , are equal to the three A , B , C. And therefore 5. The triangle KFG has its three sides KF , FG , GK , equal to the three given ... line , to make a rectilineal angle equal to a given rectilineal angle . Let ...
... straight lines KF , FG , GK , are equal to the three A , B , C. And therefore 5. The triangle KFG has its three sides KF , FG , GK , equal to the three given ... line , to make a rectilineal angle equal to a given rectilineal angle . Let ...
Σελίδα 31
... straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is re- quired to draw a straight line through the point 4 , parallel to the straight line BC . In ...
... straight line through a given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is re- quired to draw a straight line through the point 4 , parallel to the straight line BC . In ...
Σελίδα 39
... a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( I. 10. ) BC in E , join AE , and at the point E in the straight line EC make ( I. 23. ) the angle CEF equal to D ; and through A ...
... a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( I. 10. ) BC in E , join AE , and at the point E in the straight line EC make ( I. 23. ) the angle CEF equal to D ; and through A ...
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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