The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 6 - 10 από τα 14.
Σελίδα 21
... angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles . LET the straight line ef fall upon ...
... angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles . LET the straight line ef fall upon ...
Σελίδα 22
... triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . LET abc be a triangle , and let one of its sides be be produced to ...
... triangle be produced , the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . LET abc be a triangle , and let one of its sides be be produced to ...
Σελίδα 23
... interior angle a bc , with its adjacent exterior a b d , is equal ( i . 13 ) to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are ...
... interior angle a bc , with its adjacent exterior a b d , is equal ( i . 13 ) to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are ...
Σελίδα 25
... exterior angle fdc is equal ( i . 29 ) to the interior e a b , therefore the base e b is equal to the base fc , and the triangle e ab equal ( i . 4 ) to the triangle fd c . Take the triangle fdc from the trapezium a bcf , and from the ...
... exterior angle fdc is equal ( i . 29 ) to the interior e a b , therefore the base e b is equal to the base fc , and the triangle e ab equal ( i . 4 ) to the triangle fd c . Take the triangle fdc from the trapezium a bcf , and from the ...
Σελίδα 34
... triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite interior angle is also double of the corresponding angle in the other . 18. If two sides of a triangle ...
... triangle have its exterior angle and one of its opposite interior angles double of those in another triangle , its remaining opposite interior angle is also double of the corresponding angle in the other . 18. If two sides of a triangle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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.