## Elements of Geometry |

### From inside the book

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Page vi

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**common**treatises , either of arithmetic or algebra ; he is supposed also to be acquainted with the first rules of algebra ; such as the addition and subtraction of quantities , and the most simple operations belonging to equations of ... Page vii

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**common**works . The second section of the second part treats of polyedrons and of their measure . This section will be found to be very differ- ent from that relating to the same subject in other treatises : we have thought we ought to ... Page x

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**common**ratio , it is evi- dent that the two other ratios may be put into a proportion , since they are each equal to that which is**common**. If , for ex- ample , we have then we shall have A : B :: C : Introduction . Page xii

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**common**to the two proportions above obtained , it follows that the other ratios of the same proportions are equal , and that , consequently , B + A : D + C :: BA : D― C , or , by changing the place of the means , BA : B - A :: D + C : D ... Page xiv

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**common**measure to the whole , and to be taken for unity ; then A , B , C , D , will each represent a certain number of units , entire or frac- tional , commensurable or incommensurable , and the proportion among the lines A , B , C , D ...### 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