The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Σελίδα 2
... are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more 2 THE ELEMENTS OF EUCLID .
... are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more 2 THE ELEMENTS OF EUCLID .
Σελίδα 3
... triangle is that which has three equal sides . XXV . An isosceles triangle is that which has only two sides equal . Δ Δ Δ Equilateral . Isosceles . Scalene . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A ...
... triangle is that which has three equal sides . XXV . An isosceles triangle is that which has only two sides equal . Δ Δ Δ Equilateral . Isosceles . Scalene . XXVI . A scalene triangle is that which has three unequal sides . XXVII . A ...
Σελίδα 4
... triangle upon a given finite straight line . LET ab be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre a , at the distance ab , describe ( 3 post . ) the circle bcd , and from the ...
... triangle upon a given finite straight line . LET ab be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre a , at the distance ab , describe ( 3 post . ) the circle bcd , and from the ...
Σελίδα 5
... triangle da b , and produce ( 2 post . ) the straight lines da , db , to e and f ; from the centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al ...
... triangle da b , and produce ( 2 post . ) the straight lines da , db , to e and f ; from the centre b , at the distance bc , describe ( 3 post . ) the circle cgh , and from the centre d , at the distance dg , describe the circle gkl . al ...
Σελίδα 6
... triangle abc to the triangle def ; and the other angles to which the equal sides are opposite , shall be equal , each to each , viz . the angle abc to the angle For , if the triangle abc be applied to def , so that the point a may be on ...
... triangle abc to the triangle def ; and the other angles to which the equal sides are opposite , shall be equal , each to each , viz . the angle abc to the angle For , if the triangle abc be applied to def , so that the point a may be on ...
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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 circumference bc 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 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 tiple touches the circle triangle abc triangle def twice the rectangle