The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 1
... that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to B 4 P 86 one another in a plane , which meet together 4 ...
... that in which any two points being taken , the straight line between them lies wholly in that superficies . VIII . " A plane angle is the inclination of two lines to B 4 P 86 one another in a plane , which meet together 4 ...
Page 2
... meet together " but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . · B D -СЕ کے N. B. When several ...
... meet together " but are not in the same direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . · B D -СЕ کے N. B. When several ...
Page 5
... are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 XXX. ...
... are called Trapeziums . XXXV . Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted , that a B 3 BOOK I. - DEFINITIONS . 5 XXX. ...
Page 7
... meets two straight lines , so " as to make the two interior angles on the 66 66 same side of it taken together less than " two right angles , these straight lines being continually produced , shall at length meet upon that side on which ...
... meets two straight lines , so " as to make the two interior angles on the 66 66 same side of it taken together less than " two right angles , these straight lines being continually produced , shall at length meet upon that side on which ...
Page 30
... meet towards B , D. In CF like manner it may be de B D G monstrated , that they do not meet towards A , C : but those straight lines which meet neither way , * 35 De £ . though produced ever so far , are parallel * to one another ...
... meet towards B , D. In CF like manner it may be de B D G monstrated , that they do not meet towards A , C : but those straight lines which meet neither way , * 35 De £ . though produced ever so far , are parallel * to one another ...
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