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 27.
Σελίδα 21
... meet ( 12 ax . ) together if continually produced ; therefore the straight lines ab , cd , if produced far enough , shall meet ; but they never meet , since they are parallel by the hypothesis ; therefore the angle agh is not unequal to ...
... meet ( 12 ax . ) together if continually produced ; therefore the straight lines ab , cd , if produced far enough , shall meet ; but they never meet , since they are parallel by the hypothesis ; therefore the angle agh is not unequal to ...
Σελίδα 22
... meets the two straight lines bc , ef , makes the alternate angles e a d , adc equal to one another , ef is parallel ( i . 27 ) to be . Therefore the straight line e af is drawn through the given point a parallel to the given straight ...
... meets the two straight lines bc , ef , makes the alternate angles e a d , adc equal to one another , ef is parallel ( i . 27 ) to be . Therefore the straight line e af is drawn through the given point a parallel to the given straight ...
Σελίδα 23
... meets them , the alternate angles abc , bcd are equal ( i . 29 ) ; and because ab is equal to cd , and bc common to the two triangles a bc , dcb , the two sides a b , bc , are equal to the two dc , cb : and the angle abc is equal to the ...
... meets them , the alternate angles abc , bcd are equal ( i . 29 ) ; and because ab is equal to cd , and bc common to the two triangles a bc , dcb , the two sides a b , bc , are equal to the two dc , cb : and the angle abc is equal to the ...
Σελίδα 24
... meets them , the alternate angles c b abc , bcd are equal ( i . 29 ) to one another ; and because a c is parallel to bd , and bc meets them , the alternate angles a cb , cbd , are equal ( i . 29 ) to one another ; wherefore the two ...
... meets them , the alternate angles c b abc , bcd are equal ( i . 29 ) to one another ; and because a c is parallel to bd , and bc meets them , the alternate angles a cb , cbd , are equal ( i . 29 ) to one another ; wherefore the two ...
Σελίδα 29
... meet if 9 produced ; let them meet in k , and through BOOK I. PROPS . XLIII . , XLIV . 29.
... meet if 9 produced ; let them meet in k , and through BOOK I. PROPS . XLIII . , XLIV . 29.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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 produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc straight line drawn 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.