Elements of Geometry and TrigonometryReprint of the original, first published in 1871. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost. |
Contents
Definitions | 9 |
BOOK II | 50 |
BOOK IV | 93 |
BOOK V | 136 |
BOOK IX | 235 |
PLANE TRIGONOMETRY | 3 |
Multiplication by Logarithms 11 | 11 |
Regular PolygonsMeasurement of the Circle | 14 |
Functions of Negative Arcs | 60 |
Formulas of Relation between Functions and Arcs | 68 |
Solution of Rightangled Spherical Triangles | 80 |
129 | 82 |
Formulas for Obliqueangled Triangles | 92 |
MENSURATION | 105 |
BOOK VI | 106 |
To find the length of an Arc | 117 |
PLANE TRIGONOMETRY | 17 |
Use of the Table 2327 | 23 |
Solution of Obliqueangled Triangles 3647 | 36 |
Problems of Application 48 | 48 |
Limiting value of Circular Functions | 54 |
Area of the Surface of a Prism 120 | 122 |
Planes and Polyedral Angles | 123 |
Volume of a Prismoid 128 | 128 |
Polyedrons | 130 |
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Common terms and phrases
ABCD altitude base Book called centre chord circle circumference common cone consequently construct corresponding cosine Cotang cylinder denote described diameter difference distance divided draw drawn edges equal Equation EXAMPLES extremity faces feet figure find the area formed Formula four frustum functions given greater half hence included inscribed intersection less logarithm manner means measured meet middle multiplied OPERATION opposite parallel parallelogram pass perpendicular placed plane pole polygon positive principle prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular remaining result right angles Scholium segment shown sides similar sine solution sphere spherical triangle square straight line Substituting surface taken Tang tangent THEOREM third triangle ABC unit vertex vertices volume whence