Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton, 1860 - 443 σελίδες |
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Σελίδα iii
... manner which to us appeared best calculated to impart a thorough knowledge of the most important principles of the science of Geometry . As a general thing , we have adhered to the ordi- nary method of conducting our demonstrations ...
... manner which to us appeared best calculated to impart a thorough knowledge of the most important principles of the science of Geometry . As a general thing , we have adhered to the ordi- nary method of conducting our demonstrations ...
Σελίδα iv
... manner . Throughout the Second Part , which is of a more mixed or practical nature , we have studied to present the whole in a dis- tinct and clear manner , giving in all cases the full and com- plete work of all examples necessary to ...
... manner . Throughout the Second Part , which is of a more mixed or practical nature , we have studied to present the whole in a dis- tinct and clear manner , giving in all cases the full and com- plete work of all examples necessary to ...
Σελίδα 14
... manner we have CFA = DFB . Cor . I. If either of the four angles , formed by the intersection of two straight lines , is a right angle , the remaining three angles will each be right , and the two lines will be mutually per- pendicular ...
... manner we have CFA = DFB . Cor . I. If either of the four angles , formed by the intersection of two straight lines , is a right angle , the remaining three angles will each be right , and the two lines will be mutually per- pendicular ...
Σελίδα 19
... manner we deduce AC > AB - CB ; CB > AB - AC . THEOREM VIII . If from any point within a triangle two lines be drawn to the extremities of either side , the sum of these two lines will be less than the sum of the other two sides . From ...
... manner we deduce AC > AB - CB ; CB > AB - AC . THEOREM VIII . If from any point within a triangle two lines be drawn to the extremities of either side , the sum of these two lines will be less than the sum of the other two sides . From ...
Σελίδα 22
... manner we may show that any other point of this perpendicular , as E or F , is equi- distant from the extremities of the given line . Secondly . Suppose G to be a point without the perpendicular . If we draw GA and GB , one of these ...
... manner we may show that any other point of this perpendicular , as E or F , is equi- distant from the extremities of the given line . Secondly . Suppose G to be a point without the perpendicular . If we draw GA and GB , one of these ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Δημοφιλή αποσπάσματα
Σελίδα 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - 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 80 - 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 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 107 - ... similar figures are to each other as the squares of their homologous sides.
Σελίδα 180 - Every section of a sphere, made by a plane, is a circle.