The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 1
... plane superficies is 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 ...
... plane superficies is 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 ...
Page 2
... plane , which 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 ...
... plane , which 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 ...
Page 3
... plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI . And this point is called ...
... plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI . And this point is called ...
Page 5
... 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. ...
... 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 214
... plane which meets it . IV . A plane is perpendicular to a plane , when the straight lines drawn in one of the planes per- pendicular to the common section of the two planes are perpendicular to the other plane . V. The inclination of a ...
... plane which meets it . IV . A plane is perpendicular to a plane , when the straight lines drawn in one of the planes per- pendicular to the common section of the two planes are perpendicular to the other plane . V. The inclination of a ...
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