The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 9
... common to the two triangles AFC , AGB - there- fore ( 1. 4 ) the base FC is equal to the base GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one to the remain- ing angles of the other , each to each , to ...
... common to the two triangles AFC , AGB - there- fore ( 1. 4 ) the base FC is equal to the base GB , and the triangle AFC to the triangle AGB , and the remaining angles of the one to the remain- ing angles of the other , each to each , to ...
Página 10
... common to the two triangles BFC , CGB ) the two triangles are equal , and their other angles are equal , each to each , to which the equal sides are opposite , viz . the angle FBC to the angle GCB and the angle BCF to the angle CBG ...
... common to the two triangles BFC , CGB ) the two triangles are equal , and their other angles are equal , each to each , to which the equal sides are opposite , viz . the angle FBC to the angle GCB and the angle BCF to the angle CBG ...
Página 11
... common to both triangles , the two sides DB , BC are equal to the two AC , CB , each to each , and the angle DBC is equal to the angle ACB ( Hyp . ) — therefore the base DC is equal to the base AB ( 1.4 ) , and the triangle DBC is equal ...
... common to both triangles , the two sides DB , BC are equal to the two AC , CB , each to each , and the angle DBC is equal to the angle ACB ( Hyp . ) — therefore the base DC is equal to the base AB ( 1.4 ) , and the triangle DBC is equal ...
Página 13
... AE , and AF is common to the two triangles DAF , EAF , the two sides DA , AF are equal to the two sides EA , AF , each to each , and the base DF is equal to the base EF c -therefore ( 1. 8 ) the angle DAF is equal BOOK I. 13.
... AE , and AF is common to the two triangles DAF , EAF , the two sides DA , AF are equal to the two sides EA , AF , each to each , and the base DF is equal to the base EF c -therefore ( 1. 8 ) the angle DAF is equal BOOK I. 13.
Página 14
... common to the two triangles ACD , BCD , the two sides AC , CD are equal to the two BC , CD , each to each , and the angle ACD is equal to the angle BCD ( Constr . ) - therefore the base AD is equal to the base DB : Wherefore the ...
... common to the two triangles ACD , BCD , the two sides AC , CD are equal to the two BC , CD , each to each , and the angle ACD is equal to the angle BCD ( Constr . ) - therefore the base AD is equal to the base DB : Wherefore 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