The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Side 3
... 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 circle is ...
... 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 circle is ...
Side 68
... circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the ...
... circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle in a segment is the angle contained by two straight lines drawn from any point in the ...
Side 69
... the expression straight lines from the centre , " or " drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference . which is impossible : Therefore G is not the centre BOOK III . 69 PROP . I.
... the expression straight lines from the centre , " or " drawn from the centre , " occurs , it is to be understood that they are drawn to the circumference . which is impossible : Therefore G is not the centre BOOK III . 69 PROP . I.
Side 70
... 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 ...
... 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 ...
Side 74
... 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 ...
... 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 ...
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Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle