Elements of Geometry and TrigonometryA.S. Barnes and Company, 1837 - 359 sider |
Inni boken
Resultat 1-5 av 89
Side 4
... circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of ...
... circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of ...
Side 5
... Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 41 57 98 8888 68 BOOK V. Regular ...
... Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , - Problems relating to the Fourth Book , 41 57 98 8888 68 BOOK V. Regular ...
Side 40
... will For since and or therefore , M : N ; P : Q RST : V : MXR NXS :: P × T : Q × V. MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
... will For since and or therefore , M : N ; P : Q RST : V : MXR NXS :: P × T : Q × V. MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
Side 41
... circle is a curved line , all the points of which are equally distant from a point within , called the centre . The circle is the space tcrminated by A this curved line . * 2. Every straight line , CA , CE , CD , drawn from the centre ...
... circle is a curved line , all the points of which are equally distant from a point within , called the centre . The circle is the space tcrminated by A this curved line . * 2. Every straight line , CA , CE , CD , drawn from the centre ...
Side 42
... circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the po- lygon . PROPOSITION I. THEOREM . Every diameter divides the circle and its circumference into two equal ...
... circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the po- lygon . PROPOSITION I. THEOREM . Every diameter divides the circle and its circumference into two equal ...
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Vanlige uttrykk og setninger
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 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 Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment side BC 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
Populære avsnitt
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 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.
Side 31 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon...
Side 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.
Side 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.
Side 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'.
Side 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.
Side 287 - How many square feet are there in the convex surface of the frustum of a square pyramid, whose slant height is 10 feet, each side of the lower base 3 feet 4 inches, and each side of the upper base 2 feet 2 inches ? Ans.
Side 64 - To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles A and B by the lines AO and BO, meeting at the point 0.