## Elements of Geometry |

### From inside the book

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Page 107

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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 110

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**inclination**of the oblique line AB to the plane MN . It is manifest that this in- clination 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 119

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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 . 97 . angle ASB = DTE , and the angle BSC = ETF ; we say that the two planes ASC , ASB ... Page 120

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**inclination**of the two planes DTE , DTF ; therefore these two**inclinations**are equal to each other . It should be observed , however , that the angle A of the right- angled triangle OAB is not properly the**inclination**of the two planes ... Page 122

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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 EA b becomes obtuse , and always measures the true**inclination**of the planes . It is on this account ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAC 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 angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence