The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 8
... angles contained by those sides equal to one another : they shall likewise ... opposite . D Let ABC , DEF be two triangles , which have the two sides AB ... angle ABC to the angle DEF , 8 EUCLID'S ELEMENTS .
... angles contained by those sides equal to one another : they shall likewise ... opposite . D Let ABC , DEF be two triangles , which have the two sides AB ... angle ABC to the angle DEF , 8 EUCLID'S ELEMENTS .
Side 9
Euclides Thomas Tate. viz . the angle ABC to the angle DEF , and the angle ACB to ... angles of the one shall coincide with the remaining angles of the other ... opposite shall be equal , each to each . Which was to be demonstrated . PROP ...
Euclides Thomas Tate. viz . the angle ABC to the angle DEF , and the angle ACB to ... angles of the one shall coincide with the remaining angles of the other ... opposite shall be equal , each to each . Which was to be demonstrated . PROP ...
Side 10
... angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the angle ABG ... angles BFC , CGB ; where- fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to ...
... angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the angle ABG ... angles BFC , CGB ; where- fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to ...
Side 11
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ... angles upon the other side of the base . Therefore the angles at the base ... opposite to , the equal angles , shall be equal to one another . Let ABC ...
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ... angles upon the other side of the base . Therefore the angles at the base ... opposite to , the equal angles , shall be equal to one another . Let ABC ...
Side 18
... 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 ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall ...
... 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 ... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall ...
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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