The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 1 - 5 από τα 20.
Σελίδα 2
A segment of a circle is the figure contained by a straight line , and the
circumference it cuts off . XX . Rectilineal figures , are those which are contained
by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII
.
A segment of a circle is the figure contained by a straight line , and the
circumference it cuts off . XX . Rectilineal figures , are those which are contained
by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII
.
Σελίδα 10
By help of this problem , it may be demonstrated , that two straight lines cannot
have a common segment . If it be possible , let the two straight lines a b c , abd
have the segment a b common to both of them . From the point b draw be at right
...
By help of this problem , it may be demonstrated , that two straight lines cannot
have a common segment . If it be possible , let the two straight lines a b c , abd
have the segment a b common to both of them . From the point b draw be at right
...
Σελίδα 47
V . And the straight line on which the greater perpendicular falls is said to be
farther from the 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 .
V . And the straight line on which the greater perpendicular falls is said to be
farther from the 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 .
Σελίδα 48
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 of the segment to the extremities
of ...
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 of the segment to the extremities
of ...
Σελίδα 61
The angles in the same segment of a circle are equal to one another . LET abcd
be a circle , and bad , bed angles in the same segment baed : the angles bad ,
bed are equal to one another . Take f the centre of the circle abcd : and , first , let
...
The angles in the same segment of a circle are equal to one another . LET abcd
be a circle , and bad , bed angles in the same segment baed : the angles bad ,
bed are equal to one another . Take f the centre of the circle abcd : and , first , let
...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c d angle a b c angle bac applied base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given rectilineal given straight line greater half inscribe interior join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals Q. E. D. PROPOSITION ratio reason rectangle contained rectilineal figure remaining remaining angle right angles segment shewn sides similar square straight line a b Take taken third touches the circle triangle a b c wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 2 - A circle is a plane figure contained by one line, which is called the 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.
Σελίδα 42 - 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 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 21 - 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 29 - 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 38 - 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 15 - 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 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Σελίδα 4 - 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 126 - 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.