The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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Página 2
... abc , or cba ; that which is contained by ab , db , is named the angle abd ... circle is a plain figure contained by one line , which is called the ... circle . XVII . A diameter of a circle is a straight line drawn through the centre ...
... abc , or cba ; that which is contained by ab , db , is named the angle abd ... circle is a plain figure contained by one line , which is called the ... circle . XVII . A diameter of a circle is a straight line drawn through the centre ...
Página 4
... circle bcd , and from the centre b , at the distance ba , describe the circle ace ; and from the point c , in which the circles cut one another , draw the straight lines ( 1 post . ) ca , cb , to the points a , b ; abc shall be an ...
... circle bcd , and from the centre b , at the distance ba , describe the circle ace ; and from the point c , in which the circles cut one another , draw the straight lines ( 1 post . ) ca , cb , to the points a , b ; abc shall be an ...
Página 5
... abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done ... circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the ...
... abc is therefore equilateral , and it is described upon the given straight line a b . Which was to be done ... circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al shall be equal to bc . Because the ...
Página 48
... circle . LET abc be the given circle ; it is required to find its centre . Draw within it any straight line a b , and bisect ( i . 10 ) it in d ; from the point d draw ( i . 11 ) dc at right angles to ab , and produce it to e , and ...
... circle . LET abc be the given circle ; it is required to find its centre . Draw within it any straight line a b , and bisect ( i . 10 ) it in d ; from the point d draw ( i . 11 ) dc at right angles to ab , and produce it to e , and ...
Página 49
... circle a b c . Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . d PROPOSITION II . THEOREM ...
... circle a b c . Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of the circle is in the line which bisects the other . d PROPOSITION II . THEOREM ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 2 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 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.
Página 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.
Página 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...
Página 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...
Página 11 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Página 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...
Página 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.