## The Essentials of Geometry (solid) |

### From inside the book

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Page 233

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**plane**is said to be**determined**by certain lines or points when one**plane**, and only one , can be drawn through these lines or points . PROP . I. THEOREM . 395. A**plane**is**determined**I. By a straight line and a point without the line ... Page 234

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**plane**is**determined**by A , B , and C. Proof . Draw line AB ; then 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 . ] ( § 395 , I ) Then , a ... Page 235

Webster Wells. And only one

Webster Wells. And only one

**plane**can be drawn through AB and point C. [ A**plane**is**determined**by a str . line and a point without the line . ] ( § 395 , I ) Then , a**plane**, and only one , can be drawn through AB and CD . PROP . II ... Page 236

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**plane determined**by AC and AD . Let AE be any other str . line drawn through point A in plane RS ; and draw line CD intersecting AC , AE , and AD at C , E , and D , respectively . : Produce BA to B ' , making AB ' = AB , and draw lines ... Page 237

... plane MN at P ; and let the

... plane MN at P ; and let the

**plane determined**by PQ and PT intersect MN in line HK . Then , both PQ and PT are 1 HK . [ A to a plane is to every str . line drawn in the plane through its foot . ] ( § 398 ) But this is impossible ; for , in ...### 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