The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI . And this point is called the centre of the circle . XVII . A diameter of a ...
Σελίδα 47
... centre . Definitions IV . and V. VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
... centre . Definitions IV . and V. VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
Σελίδα 48
... circumference . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an ...
... circumference . VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an ...
Σελίδα 49
... circumference of a circle , the straight line which joins them shall fall within the circle . LET abc be a circle , and a , b any two points in the circumference ; the straight line drawn from a to b shall fall within the circle . C ...
... circumference of a circle , the straight line which joins them shall fall within the circle . LET abc be a circle , and a , b any two points in the circumference ; the straight line drawn from a to b shall fall within the circle . C ...
Σελίδα 51
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and of any others , that which is nearer to the line which passes through the centre is always greater than one more BOOK ...
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and of any others , that which is nearer to the line which passes through the centre is always greater than one more BOOK ...
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ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle