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 40.
Σελίδα 24
... third angle of the one to the third angle of the other ( i . 26 ) , viz . the side ab to the side cd , and ac to bd , and the angle bac equal to the angle bdc and because the angle abc is equal to the angle bcd , and the angle cbd to ...
... third angle of the one to the third angle of the other ( i . 26 ) , viz . the side ab to the side cd , and ac to bd , and the angle bac equal to the angle bdc and because the angle abc is equal to the angle bcd , and the angle cbd to ...
Σελίδα 34
... third side . 20. The sum of two sides of a triangle is greater than twice the line joining the vertex and the middle of the base . 21. Each angle at the base of an isosceles triangle is equal to , or is less , or is greater than the ...
... third side . 20. The sum of two sides of a triangle is greater than twice the line joining the vertex and the middle of the base . 21. Each angle at the base of an isosceles triangle is equal to , or is less , or is greater than the ...
Σελίδα 52
... third , be , ef , are greater than bf ; but ae is equal to b a eb ; therefore a e , ef , that is af , is greater than bf . Again , because be is equal to ce , and fe common to the triangles bef , cef , the two sides be , ef are equal to ...
... third , be , ef , are greater than bf ; but ae is equal to b a eb ; therefore a e , ef , that is af , is greater than bf . Again , because be is equal to ce , and fe common to the triangles bef , cef , the two sides be , ef are equal to ...
Σελίδα 81
... third angle . TAKE any straight line a b , and divide ( ii . 11 ) it in the point c , so that the rectangle a b , bc be equal to the square of ca ; and from the centre a , at the distance ab , describe the circle bde , in which place ...
... third angle . TAKE any straight line a b , and divide ( ii . 11 ) it in the point c , so that the rectangle a b , bc be equal to the square of ca ; and from the centre a , at the distance ab , describe the circle bde , in which place ...
Σελίδα 82
... third angle . Which was to be done . PROPOSITION XI . - PROBLEM . To inscribe an equilateral and equiangular pentagon in a given circle . LET abcde be the given circle ; it is required to inscribe an equilateral and equiangular pentagon ...
... third angle . Which was to be done . PROPOSITION XI . - PROBLEM . To inscribe an equilateral and equiangular pentagon in a given circle . LET abcde be the given circle ; it is required to inscribe an equilateral and equiangular pentagon ...
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.