Elements of Geometry and TrigonometryA.S. Barnes and Company, 1837 - 359 sider |
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Side 5
... 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 Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid ...
... 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 Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid ...
Side 12
... third to the third , and so on . The phrase , mutually equian- gular , has a corresponding signification , with respect to the angles . In both cases , the equal sides , or the equal angles , are named homologous sides or angles ...
... third to the third , and so on . The phrase , mutually equian- gular , has a corresponding signification , with respect to the angles . In both cases , the equal sides , or the equal angles , are named homologous sides or angles ...
Side 17
... third side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side ...
... third side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side ...
Side 18
... third side .. Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ( Def . 3. ) ; hence AC + CB ...
... third side .. Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ( Def . 3. ) ; hence AC + CB ...
Side 19
... third side BC of the first triangle is greater than the third side EF of the second ; then will the an- gle BAC of the first triangle , be greater than the angle EDF of the second . Ꮐ CE E F For , if not , the angle BAC must be equal ...
... third side BC of the first triangle is greater than the third side EF of the second ; then will the an- gle BAC of the first triangle , be greater than the angle EDF of the second . Ꮐ CE E F For , if not , the angle BAC must be 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.