The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 8
... base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to ...
... base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to ...
Página 9
... BC does not coincide with EF , two straight lines would enclose a space - which is im- possible ( 4x . 10 ) ; therefore the base BC shall coincide with the base EF , and be equal to it ( Ax . 8 ) ; and the whole triangle ABC shall ...
... BC does not coincide with EF , two straight lines would enclose a space - which is im- possible ( 4x . 10 ) ; therefore the base BC shall coincide with the base EF , and be equal to it ( Ax . 8 ) ; and the whole triangle ABC shall ...
Página 10
... base BC being here 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 ...
... base BC being here 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 ...
Página 11
... BC 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 ...
... BC 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 ...
Página 12
... BC the angle BDC is equal to the angle BCD : but it has been proved to be ... base CD are equal to one another ( 1.5 ) : But the angle ECD B is greater ... BC , the angle BDC is equal to the angle BCD : but it has been proved to be ...
... BC the angle BDC is equal to the angle BCD : but it has been proved to be ... base CD are equal to one another ( 1.5 ) : But the angle ECD B is greater ... BC , the angle BDC is equal to the angle BCD : but it has been proved to be ...
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