Elements of Geometry and Trigonometry |
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Page 60
... when its circumference touches all of the sides of the polygon . ооо хо POSTULATE . A circumference can be described from any point as a centre . and with any radius . PROPOSITION L. THEOREM . Any diameter divides the circle , 60 GEOMETRY .
... when its circumference touches all of the sides of the polygon . ооо хо POSTULATE . A circumference can be described from any point as a centre . and with any radius . PROPOSITION L. THEOREM . Any diameter divides the circle , 60 GEOMETRY .
Page 94
... described on the linear unit , as a side . PROPOSITION I. THEOREM . Parallelograms which have equal bases and equal altitudes , are equal . Let the parallelograms ABCD and EFGH have equal bases and equal altitudes : then will the ...
... described on the linear unit , as a side . PROPOSITION I. THEOREM . Parallelograms which have equal bases and equal altitudes , are equal . Let the parallelograms ABCD and EFGH have equal bases and equal altitudes : then will the ...
Page 101
... described on the sum of two lines is equal to the sum of the squares described on the lines , increased by twice the rectangle of the lines . Let AB and BC be two lines , and AC BOOK IV . 101.
... described on the sum of two lines is equal to the sum of the squares described on the lines , increased by twice the rectangle of the lines . Let AB and BC be two lines , and AC BOOK IV . 101.
Page 102
... described on half the line . PROPOSITION IX . THEOREM . The square described on the difference of two lines is equal to the sum of the squares described on the lines , diminished by twice the rectangle of the lines . Let AB and BC be ...
... described on half the line . PROPOSITION IX . THEOREM . The square described on the difference of two lines is equal to the sum of the squares described on the lines , diminished by twice the rectangle of the lines . Let AB and BC be ...
Page 103
... described on AB and BC . The part CBIG is equal to the rect- angle of AB and BC ; the part DGLK is also equal to the rect- K E D A C B and angle of AB and BC . If from the whole figure ABILKE , the two parts CBIG DGLK be taken , there ...
... described on AB and BC . The part CBIG is equal to the rect- angle of AB and BC ; the part DGLK is also equal to the rect- K E D A C B and angle of AB and BC . If from the whole figure ABILKE , the two parts CBIG DGLK be taken , there ...
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Common terms and phrases
ABCD AC² 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