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 28.
Σελίδα 52
... circumference ; and bf is greater than cf , and cf than gf . g h Also there can be drawn only two equal straight lines from the point f to the circumference , one upon each side of the shortest line fd : at the point e in the straight ...
... circumference ; and bf is greater than cf , and cf than gf . g h Also there can be drawn only two equal straight lines from the point f to the circumference , one upon each side of the shortest line fd : at the point e in the straight ...
Σελίδα 53
... circumference , whereof da passes through the centre . Of those which fall upon the concave part of the circumference ae fc , the greatest is ad which passes through the centre ; and the nearer to it is always greater than the more ...
... circumference , whereof da passes through the centre . Of those which fall upon the concave part of the circumference ae fc , the greatest is ad which passes through the centre ; and the nearer to it is always greater than the more ...
Σελίδα 54
... circumference , that point is the centre of the circle . LET the point d be taken within the circle abc , from which to the cir- cumference there fall more than two equal straight lines , viz . da , db , dc , the point d is the centre ...
... circumference , that point is the centre of the circle . LET the point d be taken within the circle abc , from which to the cir- cumference there fall more than two equal straight lines , viz . da , db , dc , the point d is the centre ...
Σελίδα 56
... circumference of each of the circles , the straight line bd falls within each of them ( iii . 2 ) : and their centres are in the straight line gh which bisects b d at right angles ( iii . 1. Cor . ) . Therefore gh passes through the ...
... circumference of each of the circles , the straight line bd falls within each of them ( iii . 2 ) : and their centres are in the straight line gh which bisects b d at right angles ( iii . 1. Cor . ) . Therefore gh passes through the ...
Σελίδα 58
... circumference from the ex- tremity , so as not to cut the circle ; or , which is the same thing , no straight line can make so great an acute angle with the diameter at its extremity , or so small an angle with the straight line which ...
... circumference from the ex- tremity , so as not to cut the circle ; or , which is the same thing , no straight line can make so great an acute angle with the diameter at its extremity , or so small an angle with the straight line which ...
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 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
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.