The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 72
... circle two straight lines cut one another , which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both ...
... circle two straight lines cut one another , which do not both pass through the centre , they do not bisect each other . Let ABCD be a circle , and AC , BD two straight lines in it which cut one another in the point E , and do not both ...
Page 74
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E : of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA shall be the ...
... ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E : of all the straight lines FB , FC , FG , & c . that can be drawn from F to the circumference , FA shall be the ...
Page 82
... circle are said to be equally distant from the centre , when the perpendiculars * 4Def.3 . drawn to them from the ... ABCD be a circle , of which the diameter is AD , and the centre E ; and let BC be nearer to the centre than FG : AD ...
... circle are said to be equally distant from the centre , when the perpendiculars * 4Def.3 . drawn to them from the ... ABCD be a circle , of which the diameter is AD , and the centre E ; and let BC be nearer to the centre than FG : AD ...
Page 88
... circle are equal to one another . Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BÅD , BED shall be equal to one another . B C E First , let the segment BAED be greater than a semicircle . Take + F ...
... circle are equal to one another . Let ABCD be a circle , and BAD , BED angles in the same segment BAED : the angles BÅD , BED shall be equal to one another . B C E First , let the segment BAED be greater than a semicircle . Take + F ...
Page 89
... ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right angles . Join AC , BD : and because the three angles of every triangle are equal * to two right angles , * 32. 1 the ...
... ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right angles . Join AC , BD : and because the three angles of every triangle are equal * to two right angles , * 32. 1 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