Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 - Mathematics |
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Results 1-5 of 55
Page 5
... vertical D angles A E D , BEC , B as also the vertical angles A EC , BED , shall be equal to one another . Because the angles AE C , AED are adjacent angles made by the straight line AE with CD , they are ( 2. ) to- gether equal to two ...
... vertical D angles A E D , BEC , B as also the vertical angles A EC , BED , shall be equal to one another . Because the angles AE C , AED are adjacent angles made by the straight line AE with CD , they are ( 2. ) to- gether equal to two ...
Page 7
... vertical angle of an isosceles triangle , bisects the base at right angles : and conversely , the straight line which bisects the base at right angles , passes through the vertex , and bisects the ver- tical angle . Cor . 4. If there be ...
... vertical angle of an isosceles triangle , bisects the base at right angles : and conversely , the straight line which bisects the base at right angles , passes through the vertex , and bisects the ver- tical angle . Cor . 4. If there be ...
Page 12
... vertical angles EH L , FHK are like- wise equal to one another ( 3. ) . There- fore , the triangles HEL and HFK having two angles of the one equal to two angles of the other , each to each , and their sides H E , H F , which lie be ...
... vertical angles EH L , FHK are like- wise equal to one another ( 3. ) . There- fore , the triangles HEL and HFK having two angles of the one equal to two angles of the other , each to each , and their sides H E , H F , which lie be ...
Page 15
... vertical angle formed by CD , AD produced ( 3. ) , and the latter to the angle B ( 18. ) . Lastly , with regard to the bisection of the diagonals : because AD is parallel to B C , the two triangles E AD , ECB have the two angles EA D ...
... vertical angle formed by CD , AD produced ( 3. ) , and the latter to the angle B ( 18. ) . Lastly , with regard to the bisection of the diagonals : because AD is parallel to B C , the two triangles E AD , ECB have the two angles EA D ...
Page 66
... vertical , as at A , and completing the triangle AC D , that if that is , if A B be to A D the sides be reciprocally proportional , as AE to A C , the tri- angles ABC , ADE will have the same ratio to the triangle A CD , and therefore ...
... vertical , as at A , and completing the triangle AC D , that if that is , if A B be to A D the sides be reciprocally proportional , as AE to A C , the tri- angles ABC , ADE will have the same ratio to the triangle A CD , and therefore ...
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Common terms and phrases
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical