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
... angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROPOSITION XVI . - THEOREM . If one side of a triangle be produced , the exterior angle ...
... angles . COR . 2. And consequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROPOSITION XVI . - THEOREM . If one side of a triangle be produced , the exterior angle ...
Σελίδα 14
... exterior angle of the triangle bd c , it is greater ( i . 16 ) than the interior and opposite angle dcb ; butadb is equal ( i . 5 ) to abd , because the side abis equal to the side ad ; therefore the angle abd is likewise greater than the ...
... exterior angle of the triangle bd c , it is greater ( i . 16 ) than the interior and opposite angle dcb ; butadb is equal ( i . 5 ) to abd , because the side abis equal to the side ad ; therefore the angle abd is likewise greater than the ...
Σελίδα 15
Euclides. bed is greater than the angle adc ; and because the angle bed of the triangle dcb is greater than its angle ... exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle bdc of the ...
Euclides. bed is greater than the angle adc ; and because the angle bed of the triangle dcb is greater than its angle ... exterior angle of a triangle is greater than the interior and opposite angle , the exterior angle bdc of the ...
Σελίδα 19
... angle gcb is equal to the angle dfe ; but dfeis , by the hypothesis , equal to the angle bca ; wherefore also the ... exterior angle bha of the triangle ahc is equal to its interior and opposite angle bca ; which is impossible ( i ...
... angle gcb is equal to the angle dfe ; but dfeis , by the hypothesis , equal to the angle bca ; wherefore also the ... exterior angle bha of the triangle ahc is equal to its interior and opposite angle bca ; which is impossible ( i ...
Σελίδα 20
... exterior angle equal to the interior and opposite upon the same side of the line , or makes the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another . e a g LET ...
... exterior angle equal to the interior and opposite upon the same side of the line , or makes the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another . e a g LET ...
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ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure 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 produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle