## Elements of Geometry |

### From inside the book

Results 1-5 of 71

Page iii

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**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 divided into two parts , one treating of plane ... Page vii

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**manner**of Archimedes . We have then given two methods of approximation for squaring the circle , one of which is that of James Gregory . This section is followed by an appendix , in which we have de- monstrated that the circle is ... Page x

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**manner**89 , which is between 64 , the cube of 4 , and 125 , the cube of 5 , has for its cube root a number between 4 and 5 , but which cannot be exactly assigned . Algebra furnishes methods for approximating , as nearly as we please ... Page xiii

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**manner**with any number of equal ratios , it will be seen , that the sum of any number whatever of antecedents is to the sum of their consequents as one antecedent is to its consequent . V. Let there be any two proportions , A : B :: C ... Page 2

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**manner**that the adjacent angles BAC , BAD , are equal , each of these angles is called a right angle , and the line AB is said to be perpendicular to CD . 11. Every angle BAC ( fig . 4 ) , less than a right angle , is an acute angle ...### 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