Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 11
... angle DBA will be equal to DBC . 21. When two lines are perpendicular w each otner , the angles which they form are called right angles . Thus , DBA and DBC are called right angles . 22. An acute angle is less than a right angle . Thus ...
... angle DBA will be equal to DBC . 21. When two lines are perpendicular w each otner , the angles which they form are called right angles . Thus , DBA and DBC are called right angles . 22. An acute angle is less than a right angle . Thus ...
Page 16
... right angles are equal to each other . 11. A straight line is the shortest distance between two points . 12. Magnitudes , which being applied to each other , coin- cide throughout their whole extent , are equal . Of Angles . PROPERTIES ...
... right angles are equal to each other . 11. A straight line is the shortest distance between two points . 12. Magnitudes , which being applied to each other , coin- cide throughout their whole extent , are equal . Of Angles . PROPERTIES ...
Page 17
... right angle , as DCB , is measured by one quadrant , or 90 degrees ; two right angles by a semicircumfer ence , or 180 degrees ; and four right angles by the whole cir cumference , or 360 degrees Of Angles . ' THEOREM II . If one ...
... right angle , as DCB , is measured by one quadrant , or 90 degrees ; two right angles by a semicircumfer ence , or 180 degrees ; and four right angles by the whole cir cumference , or 360 degrees Of Angles . ' THEOREM II . If one ...
Page 18
... angles will be equal to two right angles . Let the straight line CD meet the straight line AB , at the point C ; then will the angle DCB plus the angle DCA be equal to wo right angles . A D B About the centre C , with any radius as CB ...
... angles will be equal to two right angles . Let the straight line CD meet the straight line AB , at the point C ; then will the angle DCB plus the angle DCA be equal to wo right angles . A D B About the centre C , with any radius as CB ...
Page 19
... right angles . But since the line DE meets the line AB , we have DEB + AED = two right angles . Taking away from these equals the com- mon angle AED , and there will remain the angle AEC equal to the angle DEB ( Ax . 3 ) . In the same ...
... right angles . But since the line DE meets the line AB , we have DEB + AED = two right angles . Taking away from these equals the com- mon angle AED , and there will remain the angle AEC equal to the angle DEB ( Ax . 3 ) . In the same ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards