The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 6
... Let AB be the given straight line : it is required to describe an ... ABC shall be an equilateral triangle . B E Because the point A is the centre ... ABC is therefore equilateral , and it is described upon the given straight line AB ...
... Let AB be the given straight line : it is required to describe an ... ABC shall be an equilateral triangle . B E Because the point A is the centre ... ABC is therefore equilateral , and it is described upon the given straight line AB ...
Página 8
... Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF ; the base BC shall be equal to the base EF ...
... Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . , AB to DE , and AC to DF , and the angle BAC equal to the angle EDF ; the base BC shall be equal to the base EF ...
Página 9
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E : the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E : the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
Página 10
... ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side ... Let ABC be a triangle , having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC ...
... ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side ... Let ABC be a triangle , having the angle ABC equal to the angle ACB : the side AB shall be equal to the side AC ...
Página 12
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF , and also the BC equal to the base EF : angle BAC shall be equal to angle EDF . base AA the the ...
... Let ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF , and also the BC equal to the base EF : angle BAC shall be equal to angle EDF . base AA the the ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore