The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 2
... contained ' by AB , DB , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if ' there be only one angle at a point , it may be ' expressed by a letter placed at that ...
... contained ' by AB , DB , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if ' there be only one angle at a point , it may be ' expressed by a letter placed at that ...
Page 3
... contained by a dia- meter and the part of the circumference cut off by the diameter . 66 XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it " cuts off . " XX . Rectilineal figures are ...
... contained by a dia- meter and the part of the circumference cut off by the diameter . 66 XIX . " A segment of a circle is the figure contained by a straight line , and the circumference it " cuts off . " XX . Rectilineal figures are ...
Page 4
... contained by straight lines . • XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV ...
... contained by straight lines . • XXI . Trilateral figures , or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral figures , or polygons , by more than four straight lines . XXIV ...
Page 10
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
... contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal ...
Page 11
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be ... contain the angle FAG common to the two trian- gles AFC , AGB ; therefore the base FC is equal to the base GB , and the ...
... contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be ... contain the angle FAG common to the two trian- gles AFC , AGB ; therefore the base FC is equal to the base GB , and the ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole