Elements of Geometry, Plane and Spherical: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1868 - 262 σελίδες |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 175
... cone may be otherwise defined as a body gene rated by the revolution of a right - angled triangle about one of its sides as an immovable axis . The other side of the triangle will generate the base of the cone , while the hypotenuse ...
... cone may be otherwise defined as a body gene rated by the revolution of a right - angled triangle about one of its sides as an immovable axis . The other side of the triangle will generate the base of the cone , while the hypotenuse ...
Σελίδα 176
... Cone is the portion of the cole that is included between its base and a section made by a plane parallel to the base . 18. Similar Cylinders , and also Similar Cones , are such as have their axes proportional to the radii of their bases ...
... Cone is the portion of the cole that is included between its base and a section made by a plane parallel to the base . 18. Similar Cylinders , and also Similar Cones , are such as have their axes proportional to the radii of their bases ...
Σελίδα 206
... cone is measured by the product of the slant height and one half the sum of the circumferences of the bases of the frustum . Let ABCD - abcd be the frustum of cone ; then will its convex surface be neasured by Aa x ( circ . OC + circ ...
... cone is measured by the product of the slant height and one half the sum of the circumferences of the bases of the frustum . Let ABCD - abcd be the frustum of cone ; then will its convex surface be neasured by Aa x ( circ . OC + circ ...
Σελίδα 207
... cone . etc. Hence the theorem ; the convex surface of the frustum , Cor . 1. If we make oc = OC , and , consequently , circ . c = circ . OC , the frustum of the cone becomes a cylin- der , and the half sum of the circumferences of the ...
... cone . etc. Hence the theorem ; the convex surface of the frustum , Cor . 1. If we make oc = OC , and , consequently , circ . c = circ . OC , the frustum of the cone becomes a cylin- der , and the half sum of the circumferences of the ...
Σελίδα 208
... cone is measured by the circumference of the section made by a plane half way between the two bases , and parallel to them , multiplied by the slant height of the frustum . Cor . 4. If the trapezoid , OCco , be revolved about Oo as an ...
... cone is measured by the circumference of the section made by a plane half way between the two bases , and parallel to them , multiplied by the slant height of the frustum . Cor . 4. If the trapezoid , OCco , be revolved about Oo as an ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems Horatio Nelson Robinson Προβολή αποσπασμάτων - 1868 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angle ABC axis base and altitude bisected chord circ circumference circumscribed polygon common cone convex surface cylinder diagonal diameter dicular distance divided draw equal altitudes equal and parallel equal angles equal bases equal sides equation equiangular equivalent four magnitudes frustum given line greater half Hence the theorem homologous edges hypotenuse interior angles isosceles Let ABC line drawn lune measured middle point multiplied number of sides opposite angles parallel lines parallelogram parallelopipe parallelopipedon pendicular perimeter perpen perpendicular plane ST polyedron PROB PROBLEM produced proportion PROPOSITION prove radii radius regular polygon right angles right-angled triangle SCHOLIUM secant segment semi-polygon slant height solid angles sphere spherical polygon spherical triangle square described straight line tangent three angles triangle ABC triangular prisms triedral angles vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 96 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 128 - To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c.
Σελίδα 174 - A cylinder is conceived to be generated by the revolution of a rectangle about one of its sides as an axis.
Σελίδα 254 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Σελίδα 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.
Σελίδα 160 - THEOREM. If two planes are perpendicular to the same straight line, they are parallel to each other. Let the planes MN...
Σελίδα 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 61 - A fourth proportional to three quantities is the fourth term of a proportion, whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = c : d, d is a fourth proportional to a, b, and c.