The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 5
... opposite sides equal to one an- other , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these , are called Trapeziums . XXXV . Parallel straight lines are such as are in the ...
... opposite sides equal to one an- other , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these , are called Trapeziums . XXXV . Parallel straight lines are such as are in the ...
Page 10
... opposite . Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and B the angle BAC equal to AA CE the angle EDF , the base BC shall be equal ...
... opposite . Let ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and B the angle BAC equal to AA CE the angle EDF , the base BC shall be equal ...
Page 11
... opposite shall be equal , each to each . Which was to be de- monstrated . PROP . V. THEOR . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side ...
... opposite shall be equal , each to each . Which was to be de- monstrated . PROP . V. THEOR . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side ...
Page 12
... opposite : therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . And , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF ...
... opposite : therefore the angle FBC is equal to the angle GCB , and the angle BCF to the angle CBG . And , since it has been demonstrated , that the whole angle ABG is equal to the whole ACF , the parts of which , the angles CBG , BCF ...
Page 19
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
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