## Elements of Geometry |

### From inside the book

Results 1-5 of 47

Page iii

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**propositions**of each book are numbered after the manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions ,**propositions**, corollaries , & c . , in one continued series . Moreover , the work is ... Page v

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**propositions**, the straight line drawn be- tween two points from the shortest line which measures the distance of these same points . I have preferred , in order not to render the introduction to geometry too difficult , to sacrifice ... Page vii

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**propositions**are well connected together . This section also is followed by a series of problems relating to the objects of which it treats . The fourth section treats of regular polygons and of the meas- ure of the circle . Two lemmas ... Page 3

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**Proposition**is given indifferently to theorems , problems , and lemmas . A Corollary is a consequence which follows from one or sev- eral**propositions**. A Scholium is a remark upon one or more**propositions**which have gone before ... Page 13

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**proposition**will evidently be true , if the third side BC be equal to the third side EF . If it be possible , let these sides be unequal , and let BC be the greater . Take BG = EF , and join AG ; then the triangle ABG is equal to the ...### 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