Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 74.
Σελίδα 33
... radius is any straight line drawn from the center to the circumference . An arc is any portion of a circumfer- ence . B Ex . 130. If two altitudes of a triangle are equal , the corresponding sides are equal , and the triangle is ...
... radius is any straight line drawn from the center to the circumference . An arc is any portion of a circumfer- ence . B Ex . 130. If two altitudes of a triangle are equal , the corresponding sides are equal , and the triangle is ...
Σελίδα 36
... radius , as AB , describe an arc cutting the sides of the A at B and C. From B and C as centers , with equal radii greater than one - half the distance from B to C , describe two arcs intersect- ing at D. Join AD . AD bisects / CAB ...
... radius , as AB , describe an arc cutting the sides of the A at B and C. From B and C as centers , with equal radii greater than one - half the distance from B to C , describe two arcs intersect- ing at D. Join AD . AD bisects / CAB ...
Σελίδα 37
... radius OC , describe an arc intersecting AB in C and D. From C and D as centers , with equal radii greater than OC , describe two arcs intersecting at E. Join OE . OE is the perpendicular to the line AB at O. [ The proof is left to the ...
... radius OC , describe an arc intersecting AB in C and D. From C and D as centers , with equal radii greater than OC , describe two arcs intersecting at E. Join OE . OE is the perpendicular to the line AB at O. [ The proof is left to the ...
Σελίδα 38
... radius sufficiently great , describe an arc cutting BC in C ' and D ' . From D ' and C " as centers , with equal radii greater than D'C ' , describe two arcs intersecting at O. Draw AO intersecting BC in D. AD is a perpendicular from ...
... radius sufficiently great , describe an arc cutting BC in C ' and D ' . From D ' and C " as centers , with equal radii greater than D'C ' , describe two arcs intersecting at O. Draw AO intersecting BC in D. AD is a perpendicular from ...
Σελίδα 39
... radius , describe arc FG , intersecting CB in F. From F as a center , with a radius equal to DE , draw an arc intersecting FG in H. Join CH . HCF is an △ at C = 20 . HINT . What is the usual means of proving the equality of angles ...
... radius , describe arc FG , intersecting CB in F. From F as a center , with a radius equal to DE , draw an arc intersecting FG in H. Join CH . HCF is an △ at C = 20 . HINT . What is the usual means of proving the equality of angles ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Σελίδα 180 - Two triangles having 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.
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 312 - The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Σελίδα 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 328 - Every section of a sphere made by a plane is a circle.
Σελίδα 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.