## Elements of Geometry |

### From inside the book

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**plane**is a surface , in which any two points being taken , the straight line ...**three**dimensions of ex- tension . 9. When two straight lines , AB , AC ...**Angles**, like other quantities , are susceptible of addition ELEMENTS OF GEOMETRY. ... Page 2

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**angles**DCB , BCE , and the**angle**DCB is the difference between the two ...**plane**and produced ever so far both ways , they do not meet . 13. A**plane**...**three**sides is the most simple of these figures , and is called a**triangle**; that of ... Page 105

Adrien Marie Legendre. PART SECOND . SECTION FIRST . Of

Adrien Marie Legendre. PART SECOND . SECTION FIRST . Of

**Planes**and Solid**Angles**...**planes**are parallel when , being produced ever so far , they do not meet . 316 ...**three planes**to form a solid**angle**. Geom . 14 THEOREM . 319. One part of a ... Page 108

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**angles**APB , APC , APD ( fig . 184 ) , being right**angles**, if we suppose ...**plane**being given , to find the point P where the per- pendicular A meets this**plane**, take**three**...**plane**MN . It is manifest that this incli- nation is the same ... Page 111

Adrien Marie Legendre. Demonstration . In the

Adrien Marie Legendre. Demonstration . In the

**plane**PQ draw at pleasure the line BC , and through AB , BC , suppose a**plane**ABC to pass inter- secting the**plane**MN in AD ...**three**lines AB , GD , FH , will be Of**Planes**and Solid**Angles**. 111.### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence