The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 Seiten |
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Ergebnisse 6-10 von 24
Seite 30
... abcd be the given rectilineal figure , and e the given rectilineal angle . It is required to describe a parallelogram equal to abcd , and having an angle équal to e . a d f g 1 Join db , and describe ( i . 42 ) the parallelogram fh ...
... abcd be the given rectilineal figure , and e the given rectilineal angle . It is required to describe a parallelogram equal to abcd , and having an angle équal to e . a d f g 1 Join db , and describe ( i . 42 ) the parallelogram fh ...
Seite 50
... a b c d be a circle , and a c , b d two straight lines in it which cut one another in the point e , and do not both pass through the centre : a c , bd , do not bisect one another . d : For , if it be possible , let a e be equal to e c ...
... a b c d be a circle , and a c , b d two straight lines in it which cut one another in the point e , and do not both pass through the centre : a c , bd , do not bisect one another . d : For , if it be possible , let a e be equal to e c ...
Seite 52
... abcd be a circle , and a d its diameter , in which let any point f be taken which is not the centre . Let the centre be e ; of all the straight lines fb , fc , fg , & c . that can be drawn from f to the circumference , fa is the ...
... abcd be a circle , and a d its diameter , in which let any point f be taken which is not the centre . Let the centre be e ; of all the straight lines fb , fc , fg , & c . that can be drawn from f to the circumference , fa is the ...
Seite 57
... abcd be a circle , of which the diameter is a d , and the centre e ; and let bc be nearer to the centre than fg ; ad is greater than any straight line bc , which is not a diameter , and bc greater than fg . From the centre e , draw eh ...
... abcd be a circle , of which the diameter is a d , and the centre e ; and let bc be nearer to the centre than fg ; ad is greater than any straight line bc , which is not a diameter , and bc greater than fg . From the centre e , draw eh ...
Seite 61
... abcd be a circle , and bad , bed angles in the same segment baed the angles bad , bed are equal to one another . Take f the centre of the circle abcd : and , first , let the segment baed be greater than a semicircle , and join b f . fd ...
... abcd be a circle , and bad , bed angles in the same segment baed the angles bad , bed are equal to one another . Take f the centre of the circle abcd : and , first , let the segment baed be greater than a semicircle , and join b f . fd ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 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.
Seite 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.
Seite 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...
Seite 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...
Seite 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 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...
Seite 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.