Elements of Geometry and Trigonometry |
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Page 7
... 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 :
... 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 9
... Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties , relations , and measurement of the Geo- metrical Magnitudes . 4. In Geometry , the ...
... Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties , relations , and measurement of the Geo- metrical Magnitudes . 4. In Geometry , the ...
Page 13
... length , but neither breadth nor thickness . Lines are divided into two classes , straight and curved . 4. A STRAIGHT LINE is one which does not change its direction at any point . 5. A CURVED LINE is one which changes its direction at ...
... length , but neither breadth nor thickness . Lines are divided into two classes , straight and curved . 4. A STRAIGHT LINE is one which does not change its direction at any point . 5. A CURVED LINE is one which changes its direction at ...
Page 18
... length , breadth , and thickness . AXIOMS . 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the suns will be equal . 3 If equals be subtracted from equals , the remainders will ...
... length , breadth , and thickness . AXIOMS . 1. Things which are equal to the same thing , are equal to each other . 2. If equals be added to equals , the suns will be equal . 3 If equals be subtracted from equals , the remainders will ...
Page 19
... length . 2. If two straight lines are unequal , the length of the less may be laid off on the greater . 4. A straight line may be bisected ; that is , divided into two equal parts . 5. An angle may be bisected . 6. A perpendicular may ...
... length . 2. If two straight lines are unequal , the length of the less may be laid off on the greater . 4. A straight line may be bisected ; that is , divided into two equal parts . 5. An angle may be bisected . 6. A perpendicular may ...
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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