## Elements of Geometry |

### From inside the book

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Page iii

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**divided**into two parts , one treating of plane figures , and the other of solids ; and the subdivisions of each part are denominated sections . As a knowledge of algebraical signs and the theory of propor- tions is necessary to the ... Page vi

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**divided**into eight sections , four of which treat of plane geometry , and four of solid geometry . The first section , entitled first principles , & c . contains the prop- erties of straight lines which meet those of perpendiculars ... Page ix

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**divided**by that represented by B , or A**divided**by B. AB signifies that the magnitude represented by A is equal to that represented by B , or A equal to B. A > B signifies that the magnitude represented by A exceeds that represented by ... Page 16

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**divided**into five triangles , if it have seven sides , and into six , if it have eight , and , in general , into as many triangles , wanting two , as the polygon has sides ; for these triangles may be considered as having for their com ... Page 33

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**divided**into equal parts , of which each shall be less than DO ; there will be at least one point of division between D and O ; let I be this point , and join CI ; the arcs AB , AI , will be to each other as two entire num- bers , and ...### 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