Elements of Geometry and Trigonometry |
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... 3 3 8 13 18 23 28 33 33 38 43 48 48 53 58 63 68 73 73 78 83 88 93 98 103 108 108 113 118 123 128 133 138 138 143 148 Other books by the author ... 3 Cushion Billiards Championship iv Carom Billiards: Cross-Corner Diagonal Patterns.
... 3 3 8 13 18 23 28 33 33 38 43 48 48 53 58 63 68 73 73 78 83 88 93 98 103 108 108 113 118 123 128 133 138 138 143 148 Other books by the author ... 3 Cushion Billiards Championship iv Carom Billiards: Cross-Corner Diagonal Patterns.
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... diagonal line and from the diagonal to a horizontal line in one quadrant , and along the horizontal to a diagonal line and from the diagonal to a vertical line in the other quadrant . All the operations are reversible , and each ...
... diagonal line and from the diagonal to a horizontal line in one quadrant , and along the horizontal to a diagonal line and from the diagonal to a vertical line in the other quadrant . All the operations are reversible , and each ...
Page 3
... diagonal will play a crucial role in our proof of the generalized Bloch conjecture for very general complete intersections. The diagonal will appear in a rather different context in Chapter 5, where we will describe our joint work with ...
... diagonal will play a crucial role in our proof of the generalized Bloch conjecture for very general complete intersections. The diagonal will appear in a rather different context in Chapter 5, where we will describe our joint work with ...
Page 10
... diagonal. The OASD can shrink the off-diagonals without distorting diagonal elements, but LW and OAS face the trade-off of shrinking off-diagonals and distorting diagonal elements. When the true covariance matrix Σ becomes denser, the ...
... diagonal. The OASD can shrink the off-diagonals without distorting diagonal elements, but LW and OAS face the trade-off of shrinking off-diagonals and distorting diagonal elements. When the true covariance matrix Σ becomes denser, the ...
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... diagonal entries were not included because in most factor studies there is no procedure for getting values which one may reasonably expect to converge to the population communal- ities for large samples . However , one is not entirely ...
... diagonal entries were not included because in most factor studies there is no procedure for getting values which one may reasonably expect to converge to the population communal- ities for large samples . However , one is not entirely ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface Cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex
Popular passages
Page 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Page 19 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Page 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Page 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Page 169 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig.
Page 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 86 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Page 225 - B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B...
Page 168 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.