## Elements of Geometry |

### From inside the book

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**inclination**of two planes is the quantity , whether greater or less , by which they depart from each other ; this quantity is measured by the angle contained by two straight lines drawn from the same point per- pendicularly to the ... Page 108

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**inclination**of the oblique line AB to the plane MN . It is manifest that this incli- nation is the same for all the oblique lines AB , AC , AD , & c . , which depart equally from the perpendicular ; for all the trian- gles ABP , ACP ... Page 117

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**inclination**to each other as the planes of the homologous angles in the other . = Demonstration . Let the angle ASC = DTF ( fig . 197 ) , the Fig . 197 . angle ASB DTE , and the angle BSC ETF ; we say that the two planes ASC , ASB ... Page 118

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**inclination**of the two planes ASB , ASC ; and the angle PDE is the inclina- tion of the two planes DTE , DTF ; therefore these two inclina- tions are equal to each other . " It should be observed , however , that the angle A of the ... Page 120

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**inclination**of the planes SAB , SAC , in the solid angle . When the point O falls between A and B ' in the plane figure , the angle EAb becomes obtuse , and always measures the true**inclination**of the planes . It is on this account that ...### 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