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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 4
... described and measured . Nevertheless as it is often necessary to consider one or more isolated points , we represent their position by a dot or distinct mark made on a surface with the pen , pencil , or crayon , and we distinguish them ...
... described and measured . Nevertheless as it is often necessary to consider one or more isolated points , we represent their position by a dot or distinct mark made on a surface with the pen , pencil , or crayon , and we distinguish them ...
Σελίδα 51
... described with a radius equal to the distance from G to either angle of the triangle , it will circumscribe the triangle , and consequently the triangle will be inscribed in the circle . Secondly . The three lines bisecting the three ...
... described with a radius equal to the distance from G to either angle of the triangle , it will circumscribe the triangle , and consequently the triangle will be inscribed in the circle . Secondly . The three lines bisecting the three ...
Σελίδα 52
... described tangent to the three sides . This circle is called the escribed circle . Hence , if lines be drawn bi- secting the angles , and the exterior angles of a triangle , they will intersect each other by threes at the centres of the ...
... described tangent to the three sides . This circle is called the escribed circle . Hence , if lines be drawn bi- secting the angles , and the exterior angles of a triangle , they will intersect each other by threes at the centres of the ...
Σελίδα 61
... described are such that the distance of their centres BC is less than the sum of their radii , since each radius is greater than half this distance , and it is at the same time greater than the difference of their radii , which is zero ...
... described are such that the distance of their centres BC is less than the sum of their radii , since each radius is greater than half this distance , and it is at the same time greater than the difference of their radii , which is zero ...
Σελίδα 63
... described . For , taking at pleasure any three points on the arc and proceeding as in the last case , we shall find the centre . Fourthly . To divide an arc into two equal parts . For , draw the chord , and then draw a perpendicular ...
... described . For , taking at pleasure any three points on the arc and proceeding as in the last case , we shall find the centre . Fourthly . To divide an arc into two equal parts . For , draw the chord , and then draw a perpendicular ...
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.