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 20
... drawn per- pendicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) , the angles . A E D B ECA and ECB will both be right angles , and conse quently , their sum will be equal to two right angles . The angle DCA is equal to the sum ...
... drawn per- pendicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) , the angles . A E D B ECA and ECB will both be right angles , and conse quently , their sum will be equal to two right angles . The angle DCA is equal to the sum ...
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
Adrien Marie Legendre. For , if two lines be drawn through the point , mutually perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given ...
Adrien Marie Legendre. For , if two lines be drawn through the point , mutually perpendicular to each other , the sum of the angles which they form will be equal to four right angles , and it will also be equal to the sum of the given ...
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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