## Elements of Geometry |

### From inside the book

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**Moreover**, the work is 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 ... Page iv

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**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 . CAMBRIDGE , October , 1830 . 6 PREFACE . THE method of the ... Page xii

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**Moreover**, the two ratios A : C , B : D , being 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 ... Page 7

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**moreover**, DF is equal to AC ; therefore the point F will fall upon C , and the third side EF will exactly coincide with the third side BC ; therefore the triangle DEF is equal to the triangle ABC ( 26 ) . 37. Corollary . When , in two ... Page 14

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**Moreover**, since , by hypothesis , we have AC < AB , and , consequently , C'B ' < AC ' , it will be seen , that , in the triangle AC'B ' , the angle at A , designated by A ' , is less than B ' ; and , as the sum of the two is equal to ...### 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