## Elements of Geometry |

### From inside the book

Results 1-5 of 87

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**parallel**lines has hitherto been liable . " There is , moreover , appended to this edition a copious collec- tion of questions , selected principally from Bland's Geometrical Problems , and intended as an exercise for the learner ... Page vi

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**parallel**lines , & c . The second section , entitled the circle , treats of the most sim- ple properties of the circle , and those of chords , of tangents , and of the measure of angles by the arcs of a circle . These two sections are ... Page 2

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**parallel**( fig . 5 ) , when , being situated in the same plane , and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they ... Page 4

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**Parallel**Lines . THEOREM . 27. ALL right angles are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB ... Page 13

... make AK = AI , and join C ' K ; we shall have * This supposition does not exclude the case in which the mean side AC is equal to one of the extremes AB or BC . the triangle C'AK BAI . For , in these two Of

... make AK = AI , and join C ' K ; we shall have * This supposition does not exclude the case in which the mean side AC is equal to one of the extremes AB or BC . the triangle C'AK BAI . For , in these two Of

**Parallel**Lines . 13.### 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