## The Essentials of Geometry (solid) |

### From inside the book

Results 1-5 of 68

Page 227

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**line**with the present requirements of many progressive teachers . In a number of propositions , the figure is**given**, and a statement of what is to be proved ; the details of the proof being left to the pupil , usually with a hint as to ... Page 233

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**line**. II . By three points not in the same straight**line**. III . By two intersecting straight**lines**. IV . By two parallel straight**lines**. A M .C N -B I.**Given**point C without str .**line**AB . To Prove that a plane is determined by ... Page 234

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**Given**AB and BC intersecting str .**lines**. To Prove that a plane is determined by AB and BC . Proof . A plane , and only one , can be drawn through**line**AB and point C. [ A plane is determined by a str .**line**and a point without the**line**... Page 235

... line and a point without the line . ] ( § 395 , I ) Then , a plane , and only one , can be drawn through AB and CD . PROP . II . THEOREM . 396. The intersection of two planes is a straight line . P B M N A

... line and a point without the line . ] ( § 395 , I ) Then , a plane , and only one , can be drawn through AB and CD . PROP . II . THEOREM . 396. The intersection of two planes is a straight line . P B M N A

**Given line**AB the intersection ... Page 236

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**line**drawn in the plane through its foot . PROP . III . THEOREM . 399. At a**given**point in a plane , one perpendicular to the plane can be drawn , and but one . M H N B C**Given**point P in plane MN . To Prove that a can be drawn to MN at ...### Other editions - View all

### Common terms and phrases

ABCD Algebra altitude approaches the limit area ABC axis bisecting centre cents circle circular cone circular cylinder circumference circumscribed cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the volume frustum Geometry Given line given point homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes perimeter perpendicular plane determined Plane Geometry plane MN pole polyedral angle proof is left PROP Prove pupil radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid Solid Geometry spherical angle spherical polygon spherical pyramid spherical triangle straight line tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence