Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 29
Page 7
... find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS . vi :
... find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS . vi :
Page 59
... SEGMENT is a part of a circle included between an arc and its chord . 7. A SECTOR is a part of a circle included by an arc and the two Tadii drawn to its extremities . 8. An INSCRIBED ANGLE is an angle whose vertex is BOOK III The ...
... SEGMENT is a part of a circle included between an arc and its chord . 7. A SECTOR is a part of a circle included by an arc and the two Tadii drawn to its extremities . 8. An INSCRIBED ANGLE is an angle whose vertex is BOOK III The ...
Page 79
... segment , are equal ; because they are each measured by half of the same are BOC . B D C Cor . 2. Any angle BAD , in ... segment greater than a semi - circle , is acute ; for it is mea- sured by half the arc BOC , less than a semi ...
... segment , are equal ; because they are each measured by half of the same are BOC . B D C Cor . 2. Any angle BAD , in ... segment greater than a semi - circle , is acute ; for it is mea- sured by half the arc BOC , less than a semi ...
Page 91
... segment that shall contain a given angle . Let AB be the given line . A E G B D -D K Produce AB towards D ; DBE equal to the given angle at B construct the angle draw BO perpendicular to BE , and at the middle point G , BOOK III . 16 91.
... segment that shall contain a given angle . Let AB be the given line . A E G B D -D K Produce AB towards D ; DBE equal to the given angle at B construct the angle draw BO perpendicular to BE , and at the middle point G , BOOK III . 16 91.
Page 92
... segment AMB be the segment required . M O. B E B D K For , the angle ABF , equal to EBD , is measured by half of the arc AKB ( P. XXI . ) ; and the inscribed angle AMB is measured by half of the same arc : hence , the angle AMB is equal ...
... segment AMB be the segment required . M O. B E B D K For , the angle ABF , equal to EBD , is measured by half of the arc AKB ( P. XXI . ) ; and the inscribed angle AMB is measured by half of the same arc : hence , the angle AMB is equal ...
Other editions - View all
Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence