The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 15
... equilateral triangle DEF ; then join AF : the straight line AF shall bisect the angle BAC . Because AD is equal to AE , and AF is common to the two . triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF ...
... equilateral triangle DEF ; then join AF : the straight line AF shall bisect the angle BAC . Because AD is equal to AE , and AF is common to the two . triangles DAF , EAF ; the two sides DA , AF , are equal to the two sides EA , AF ...
Page 16
... equilateral triangle ABC , and bisect * the angle ACB by the straight line CD . AB shall be cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two sides AC , CD are ...
... equilateral triangle ABC , and bisect * the angle ACB by the straight line CD . AB shall be cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two sides AC , CD are ...
Page 46
... equilateral : likewise all its angles are right angles ; for , since the straight line AD meets the parallels AB , DE , the * 29.1 . angles BAD , ADE are equal to two right + Const . angles : but BAD is at right angle ; therefore +3 Ax ...
... equilateral : likewise all its angles are right angles ; for , since the straight line AD meets the parallels AB , DE , the * 29.1 . angles BAD , ADE are equal to two right + Const . angles : but BAD is at right angle ; therefore +3 Ax ...
Page 52
... equilateral : it is D ' likewise rectangular ; for , since * 6 . 1 . * 34 . 1 . f1 Ax . B K F E CG is parallel to BK , and CB meets them , +29 . 1. therefore the angles KBC , GCB are equal † to † 30 Def . two right angles : but KBC is a ...
... equilateral : it is D ' likewise rectangular ; for , since * 6 . 1 . * 34 . 1 . f1 Ax . B K F E CG is parallel to BK , and CB meets them , +29 . 1. therefore the angles KBC , GCB are equal † to † 30 Def . two right angles : but KBC is a ...
Page 112
... , or AD ; therefore the quadrilateral figure ABCD is equilateral . It is also rectangular ; for the straight line BD being the diameter of the circle ABCD , BAD is a semicircle ; wherefore the angle BAD is a right 112 EUCLID'S ELEMENTS .
... , or AD ; therefore the quadrilateral figure ABCD is equilateral . It is also rectangular ; for the straight line BD being the diameter of the circle ABCD , BAD is a semicircle ; wherefore the angle BAD is a right 112 EUCLID'S ELEMENTS .
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