The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 26.
Σελίδα 59
... circle from the extremity of it , touches the circle ; and that it touches it only in one point , because if it did meet the circle in two , it would fall within it ( iii . 2 ) . Also , it is evident that there can be but one straight ...
... circle from the extremity of it , touches the circle ; and that it touches it only in one point , because if it did meet the circle in two , it would fall within it ( iii . 2 ) . Also , it is evident that there can be but one straight ...
Σελίδα 60
... circle . LET the straight line de touch the circle abc in the point c ; take the centre f , and draw the straight ... touches a circle , and from the point of contact a straight line be drawn at right angles to the touching line , the ...
... circle . LET the straight line de touch the circle abc in the point c ; take the centre f , and draw the straight ... touches a circle , and from the point of contact a straight line be drawn at right angles to the touching line , the ...
Σελίδα 68
Euclides. PROPOSITION XXXII . - THEOREM . If a straight line touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle shall be equal to ...
Euclides. PROPOSITION XXXII . - THEOREM . If a straight line touches a circle , and from the point of contact a straight line be drawn cutting the circle , the angles made by this line with the line touching the circle shall be equal to ...
Σελίδα 69
... touches the circle ; and because ab drawn from the point of contact a cuts the circle , the angle dab is equal to the angle in the alternate segment ahb ( iii . 32 ) but the angle da b is equal to the angle C , therefore also the angle ...
... touches the circle ; and because ab drawn from the point of contact a cuts the circle , the angle dab is equal to the angle in the alternate segment ahb ( iii . 32 ) but the angle da b is equal to the angle C , therefore also the angle ...
Σελίδα 71
... circle , and the other touches it , the rectangle contained by the whole line which cuts the circle , and the part of it without the circle , shall be equal to the square of the line which touches it . LET d be any point without the ...
... circle , and the other touches it , the rectangle contained by the whole line which cuts the circle , and the part of it without the circle , shall be equal to the square of the line which touches it . LET d be any point without the ...
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 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