The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
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 circle ...
... 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 ...
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 . d For ...
... 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 . d For ...
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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a b c abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle 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 Q. E. D. PROPOSITION rectangle a b rectangle contained remaining angle right angles segment shewn square of a c square of eg straight line a b straight line ab straight line bc tiple touches the circle triangle abc triangle def twice the rectangle
Δημοφιλή αποσπάσματα
Σελίδα 40 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 2 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Σελίδα 27 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Σελίδα 13 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 11 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 2 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 124 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.