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 44.
Σελίδα 2
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
Σελίδα 4
... centre , at any dis- tance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
... centre , at any dis- tance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the ...
Σελίδα 5
... centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the point b is the centre of the circle cgh , bc is equal ...
... centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the point b is the centre of the circle cgh , bc is equal ...
Σελίδα 11
... centre c , at the distance cd , describe ( 3 post . ) the circle egf meet- ing a b in f , g ; and bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given ...
... centre c , at the distance cd , describe ( 3 post . ) the circle egf meet- ing a b in f , g ; and bisect ( i . 10 ) fg in h , and join cf , ch , cg ; the straight line ch , drawn from the given point c , is perpendicular to the given ...
Σελίδα 16
... centre f , at the distance fd , describe ( 3 post . ) the circle dkl ; d f مع g h a b and from the centre g , at the distance gh , describe ( 3 post . ) another circle hlk ; and join kf , kg ; the triangle kfg has its sides equal to the ...
... centre f , at the distance fd , describe ( 3 post . ) the circle dkl ; d f مع g h a b and from the centre g , at the distance gh , describe ( 3 post . ) another circle hlk ; and join kf , kg ; the triangle kfg has its sides equal to the ...
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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.