The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 215
... plane , to the point in which a perpendicular to the plane drawn from any point of the first line above the plane , meets the same plane . VI . The inclination of a plane to a plane is the acute angle contained by two straight lines ...
... plane , to the point in which a perpendicular to the plane drawn from any point of the first line above the plane , meets the same plane . VI . The inclination of a plane to a plane is the acute angle contained by two straight lines ...
Page 216
... planes that are constituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ...
... planes that are constituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by plane figures , of which two that are opposite are equal , similar , and parallel to one another ...
Page 218
... plane , and another part above it . If it be possible , let AB , part of the straight line ABC , be in the plane , and the part BC above it and since the straight line AB is in the plane , it can be produced in that plane : let it be ...
... plane , and another part above it . If it be possible , let AB , part of the straight line ABC , be in the plane , and the part BC above it and since the straight line AB is in the plane , it can be produced in that plane : let it be ...
Page 219
... plane , and three straight lines which meet one another are in one plane . Let two straight lines AB , CD cut one another in E ; AB , CD shall be in one plane : and three straight lines EC , CB , BE , which meet one another , shall be ...
... plane , and three straight lines which meet one another are in one plane . Let two straight lines AB , CD cut one another in E ; AB , CD shall be in one plane : and three straight lines EC , CB , BE , which meet one another , shall be ...
Page 220
... plane which passes through them , that is , to the plane in which they are . Let the straight line EF stand at right angles to each of the straight lines AB , CD , in E the point of their intersection : EF shall also be at right angles ...
... plane which passes through them , that is , to the plane in which they are . Let the straight line EF stand at right angles to each of the straight lines AB , CD , in E the point of their intersection : EF shall also be at right angles ...
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