The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 13
Euclides. are equal to the angles aed , deb . Take away the common angle a ed , and the remaining angle cea is equal ... exterior angle of the triangle a bc , acd is greater ( i . 16 ) than the interior and opposite angle abc ; to each of ...
Euclides. are equal to the angles aed , deb . Take away the common angle a ed , and the remaining angle cea is equal ... exterior angle of the triangle a bc , acd is greater ( i . 16 ) than the interior and opposite angle abc ; to each of ...
Σελίδα 14
... exterior angle of the triangle bd c , it is greater ( i . 16 ) than the interior and opposite angle dcb ; but ad bis equal ... angle bcd is greater than the angle acd ; therefore the angle op- d bcd is greater than the angle adc ; 14 THE ...
... exterior angle of the triangle bd c , it is greater ( i . 16 ) than the interior and opposite angle dcb ; but ad bis equal ... angle bcd is greater than the angle acd ; therefore the angle op- d bcd is greater than the angle adc ; 14 THE ...
Σελίδα 15
... angle bed of the triangle dcb is greater than its angle bdc , and that the greater ( i . 19 ) side is posite to the ... exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle bdc of the triangle ...
... angle bed of the triangle dcb is greater than its angle bdc , and that the greater ( i . 19 ) side is posite to the ... exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle bdc of the triangle ...
Σελίδα 19
... exterior angle bha of the triangle a hc is equal to its interior and opposite angle bca ; which is impossible ( i ... angle edf . Therefore , if two triangles , & c . Q. E. D. PROPOSITION XXVII . - THEOREM . If a straight line falling ...
... exterior angle bha of the triangle a hc is equal to its interior and opposite angle bca ; which is impossible ( i ... angle edf . Therefore , if two triangles , & c . Q. E. D. PROPOSITION XXVII . - THEOREM . If a straight line falling ...
Σελίδα 20
... exterior angle aefis greater ( i . 16 ) than the interior and opposite angle efg ; but it is also a f e b 80 g d equal to it , which is impossible ; therefore a b and c d being produced do not meet towards b , d . In like manner it may ...
... exterior angle aefis greater ( i . 16 ) than the interior and opposite angle efg ; but it is also a f e b 80 g d equal to it , which is impossible ; therefore a b and c d being produced do not meet towards b , d . In like manner it may ...
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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