Elements of Geometry and Trigonometry |
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Page 7
... Circumference of a Circle , 116 To 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 ...
... Circumference of a Circle , 116 To 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 ...
Page 59
... circumference . 3. A DIAMETER is a straight line drawn through the centre and terminating in the circumference . All radii of the same circle are equal . are also equal , and each is double the radius . 4. An ARC is any part of a ...
... circumference . 3. A DIAMETER is a straight line drawn through the centre and terminating in the circumference . All radii of the same circle are equal . are also equal , and each is double the radius . 4. An ARC is any part of a ...
Page 60
... circumference , and whose sides are chords . 9. An INSCRIBED POLYGON is a poly- gon whose vertices are all in the circum- ference . The sides are chords . 10. A SECANT is a straight line which cuts the circumference in two points . 11 ...
... circumference , and whose sides are chords . 9. An INSCRIBED POLYGON is a poly- gon whose vertices are all in the circum- ference . The sides are chords . 10. A SECANT is a straight line which cuts the circumference in two points . 11 ...
Page 61
... circumference , into two equal parts . Let AEBF be a circle , and AB any diameter : then will it divide the circle and its circumference into two equal parts . For , let AFB be applied to AEB , the diameter AB remaining common ; A B ...
... circumference , into two equal parts . Let AEBF be a circle , and AB any diameter : then will it divide the circle and its circumference into two equal parts . For , let AFB be applied to AEB , the diameter AB remaining common ; A B ...
Page 62
Adrien Marie Legendre. PROPOSITION III . THEOREM . A straight line cannot meet a circumference in more than two points . Let AEBF be a circumference , and AB a straight line : then AB cannot meet the circumference in more than two points ...
Adrien Marie Legendre. PROPOSITION III . THEOREM . A straight line cannot meet a circumference in more than two points . Let AEBF be a circumference , and AB a straight line : then AB cannot meet the circumference in more than two points ...
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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