Elements of Geometry and Trigonometry |
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Page 18
... drawn joining two given points . 12. The shortest distance from one point to another is measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line ...
... drawn joining two given points . 12. The shortest distance from one point to another is measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line ...
Page 19
... drawn , making with a given straight line an angle equal to a given angle . 8. A straight line may be drawn through a given point , parallel to a given line . NOTE . In making references , the following abbreviations are employed , viz ...
... drawn , making with a given straight line an angle equal to a given angle . 8. A straight line may be drawn through a given point , parallel to a given line . NOTE . In making references , the following abbreviations are employed , viz ...
Page 28
... drawn , making the angle CAG equal to the angle D ( Post . 7 ) ; make AG equal to DE , and draw GC . Then will the triangles AGC and DEF have two sides and the included angle of the one equal to two sides and the included angle of the ...
... drawn , making the angle CAG equal to the angle D ( Post . 7 ) ; make AG equal to DE , and draw GC . Then will the triangles AGC and DEF have two sides and the included angle of the one equal to two sides and the included angle of the ...
Page 31
... drawn from the vertex of an isosceles triangle to the middle of the base , bisects the angle at the vertex , and is ... draw DC . Then , in the triangles ABC , DBC , we have the side BD equal to AC , by construction , the side BC common ...
... drawn from the vertex of an isosceles triangle to the middle of the base , bisects the angle at the vertex , and is ... draw DC . Then , in the triangles ABC , DBC , we have the side BD equal to AC , by construction , the side BC common ...
Page 33
... drawn from A. A D B E F For , suppose a second perpendicular AC to be drawn . Prolong AB til BF is equal to AB , and draw CF Then , the triangles ABC and FBC will have AB equal to BF , by construction , CB common , and the included ...
... drawn from A. A D B E F For , suppose a second perpendicular AC to be drawn . Prolong AB til BF is equal to AB , and draw CF Then , the triangles ABC and FBC will have AB equal to BF , by construction , CB common , and the included ...
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Common terms and phrases
ABCD ACē 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