The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 sider |
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Side 6
... third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . b a се d def , and the angle a cb to dfe . LET abc , def be two ...
... third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite . b a се d def , and the angle a cb to dfe . LET abc , def be two ...
Side 14
... third side . LET abc be a triangle ; any two sides of it together are greater than the third side , viz . the sides ba , ac greater than the side bc ; and a b , bc greater than a c ; and bc , ca greater than a b . Produce ba to the ...
... third side . LET abc be a triangle ; any two sides of it together are greater than the third side , viz . the sides ba , ac greater than the side bc ; and a b , bc greater than a c ; and bc , ca greater than a b . Produce ba to the ...
Side 15
... third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there ... third ( i . 20. ) . LET a , b , c be the three given straight lines , of which any two whatever are greater than the ...
... third side , the two sides ba , a e , of the triangle abe are greater than be . To each of these add ec ; there ... third ( i . 20. ) . LET a , b , c be the three given straight lines , of which any two whatever are greater than the ...
Side 18
... third angle of the one to the third angle of the other . LET abc , def be two triangles which have the angles a b c , bca equal to the angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . d side equal to ...
... third angle of the one to the third angle of the other . LET abc , def be two triangles which have the angles a b c , bca equal to the angles def , efd , viz . abc to def , and bca to efd ; also one b third angle e df . d side equal to ...
Side 19
... third angle bac to the third angle ed f . Next , let the sides which are opposite to equal angles in each triangle be equal to one another , viz . ab to de ; likewise in this case , the other sides shall be equal , ac to df , and be to ...
... third angle bac to the third angle ed f . Next , let the sides which are opposite to equal angles in each triangle be equal to one another , viz . ab to de ; likewise in this case , the other sides shall be equal , ac to df , and be to ...
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The first six books of the Elements of Euclid, with numerous exercises Euclides Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
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 pentagon perpendicular Q. E. D. PROPOSITION rectangle a d 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
Populære avsnitt
Side 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.
Side 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.
Side 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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.
Side 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...
Side 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...
Side 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 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...
Side 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.