## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 47

Page 5

...

...

**Solid**Angles , 126 BOOK VII . Polyedrons , 142 BOOK VIII . The three round bodies , 166 · BOOK IX . Of Spherical Triangles and Spherical Polygons , The regular Polyedrons , APPENDIX . · 186 205 PLANE TRIGONOMETRY . Division of the ... Page 9

... surfaces , is a curved surface . 8. A

... surfaces , is a curved surface . 8. A

**solid**or body is that which has length , breadth , and thickness ; and therefore combines the three dimensions of extension . 9. When two straight lines , AB , AC , 2 The principles, Page 96

...

...

**solid**, for a reason that shall be seen afterwards . Its value is easily con- ceived , by imagining that the lines are reduced into numbers , and multiplying these numbers together . Scholium . It may also be demonstrated , that the ... Page 125

... whole circumference must be 3.1415926 , when the diameter is 1 : hence the ratio of the circumference to the diameter , formerly expressed by π , is equal to 3.1415926 . L * BOOK VI . PLANES AND

... whole circumference must be 3.1415926 , when the diameter is 1 : hence the ratio of the circumference to the diameter , formerly expressed by π , is equal to 3.1415926 . L * BOOK VI . PLANES AND

**SOLID**ANGLES . Definitions . BOOK V. 125. Page 126

...

...

**solid**angle is the angular space in- cluded between several planes which meet at the same point , Thus , the**solid**angle S , is formed by the union of the planes ASB , BSC , CSD , DSA . Three planes at least , are requisite to form a**solid**...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex