Elements of Geometry and Trigonometry |
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Page 9
... four species of quantity , viz .. LINES , SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of units ...
... four species of quantity , viz .. LINES , SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUDES . Since the unit of measure of a quantity is of the same kind as the quantity measured , there are four kinds of units ...
Page 15
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
... four sides , a quadrilateral ; one of five sides , a pentagon ; one of six sides , a hexagon ; one of seven sides , a hepta- gon ; one of eight sides , an octagon ; one of ten sides , a decagon ; one of twelve sides , a dodecagon , & c ...
Page 21
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
... four angles about the point of intersection , which have received different names , with respect to each other . are 1o . ADJACENT ANGLES those which lie on the same side of one line , and on opposite sides of the other ; thus , ACE and ...
Page 22
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . A B D C For , if two lines be drawn through the point 22 GEOMETRY . 28.
... to each other . Cor . 3. The sum of all the angles ACB , BCD , DCE , ECF , FCA , that can be formed about a point , is equal to four right angles . A B D C For , if two lines be drawn through the point 22 GEOMETRY . 28.
Page 23
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
... four right angles , and it will also be equal to the sum of the given angles ( A. 9 ) . Hence , the sum of the given angles is equal to four right angles . PROPOSITION III . THEOREM . If two straight lines have two points in common ...
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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