The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 42
Side 10
... fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG : And , since it has ...
... fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG : And , since it has ...
Side 14
... fore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is re- quired to bisect it . Take any point D in ...
... fore if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it is re- quired to bisect it . Take any point D in ...
Side 17
... fore the angle CHF is equal ( 1. 8. ) to the angle CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right angle , and the ...
... fore the angle CHF is equal ( 1. 8. ) to the angle CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right angle , and the ...
Side 18
... fore the angles CBE , E B D , are two right angles ( Def . 10. ) ; D and because CBE is equal to A E A ....... B C D B C the two angles CBA , ABE together , add the angle EBD to each of these equals ; therefore the angles CBE , EBD are ...
... fore the angles CBE , E B D , are two right angles ( Def . 10. ) ; D and because CBE is equal to A E A ....... B C D B C the two angles CBA , ABE together , add the angle EBD to each of these equals ; therefore the angles CBE , EBD are ...
Side 21
... fore the angles ACD , ACB are greater than the angles ABC , ACB ; but AC D , ACB are together equal ( 1. 13. ) to two right angles ; therefore the angles ABC , BCA are less than two right angles . In like manner , it may be demonstrated ...
... fore the angles ACD , ACB are greater than the angles ABC , ACB ; but AC D , ACB are together equal ( 1. 13. ) to two right angles ; therefore the angles ABC , BCA are less than two right angles . In like manner , it may be demonstrated ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle