Elements of Geometry and TrigonometryA. S. Barnes and Company, 1838 - 269 σελίδες |
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Σελίδα 2
... Logarithms and Logarithmic Sines . DAVIES ? SURVEYING - With a description and plates of , the Theodolite , Compass , Plane - Table and Level , —also , Maps of the Topographical Signs adopted by the Engineer Department , and an ...
... Logarithms and Logarithmic Sines . DAVIES ? SURVEYING - With a description and plates of , the Theodolite , Compass , Plane - Table and Level , —also , Maps of the Topographical Signs adopted by the Engineer Department , and an ...
Σελίδα 4
... logarithms and logarithmic sines , and to apply the principles of geometry to the mensuration of sur- faces and solids . Military Academy , West Point , March , 1834 . CONTENTS . BOOK I. The principles , BOOK II . iv PREFACE .
... logarithms and logarithmic sines , and to apply the principles of geometry to the mensuration of sur- faces and solids . Military Academy , West Point , March , 1834 . CONTENTS . BOOK I. The principles , BOOK II . iv PREFACE .
Σελίδα 6
... Logarithms , 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 Solution of Rectilineal Triangles by Logarithms , 235 Solution of Right angled Triangles , 237 · 238 Solution of ...
... Logarithms , 224 Description of Table of Logarithmic Sines , 228 Principles for the Solution of Rectilineal Triangles , 231 Solution of Rectilineal Triangles by Logarithms , 235 Solution of Right angled Triangles , 237 · 238 Solution of ...
Σελίδα 224
... , AC : since MIDI , we have MN = IL , and IN = DL . But we have IK - IN - MP = sin ( a — b ) , and CK + MN = CP = cos ( a — b ) ; hence x sin ( a - b ) cos ( a 224 PLANE TRIGONOMETRY . Description of Table of Logarithms,
... , AC : since MIDI , we have MN = IL , and IN = DL . But we have IK - IN - MP = sin ( a — b ) , and CK + MN = CP = cos ( a — b ) ; hence x sin ( a - b ) cos ( a 224 PLANE TRIGONOMETRY . Description of Table of Logarithms,
Σελίδα 228
... terms homogeneous : that is , so that each shall contain the same number of literal factors . CONSTRUCTION AND DESCRIPTION OF THE TABLES . XXVII . If 228 PLANE TRIGONOMETRY . Description of Table of Logarithmic Sines,
... terms homogeneous : that is , so that each shall contain the same number of literal factors . CONSTRUCTION AND DESCRIPTION OF THE TABLES . XXVII . If 228 PLANE TRIGONOMETRY . Description of Table of Logarithmic Sines,
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 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.
Σελίδα 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.
Σελίδα 169 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig.
Σελίδα 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 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'.
Σελίδα 225 - B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B...
Σελίδα 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.