Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Σελίδα 183
... polygon is 1 sq . ft . What is the area of the smaller polygon ? Ex . 833 ... regular ( i.e. equiangular and equilateral ) pentagon into two equivalent ... polygons are constructed AREAS OF POLYGONS 183.
... polygon is 1 sq . ft . What is the area of the smaller polygon ? Ex . 833 ... regular ( i.e. equiangular and equilateral ) pentagon into two equivalent ... polygons are constructed AREAS OF POLYGONS 183.
Σελίδα 194
Arthur Schultze, Frank Louis Sevenoak. BOOK V REGULAR POLYGONS . MEASUREMENT OF THE CIRCLE . REGULAR POLYGONS PROPOSITION I. THEOREM 382 ' . DEF . A regular polygon is one which is equiangular and equilateral . 383. A circle can be ...
Arthur Schultze, Frank Louis Sevenoak. BOOK V REGULAR POLYGONS . MEASUREMENT OF THE CIRCLE . REGULAR POLYGONS PROPOSITION I. THEOREM 382 ' . DEF . A regular polygon is one which is equiangular and equilateral . 383. A circle can be ...
Σελίδα 195
... polygon . .. a circle can be circumscribed about the given polygon . Q.E.D. PROPOSITION II . THEOREM 384. A circle can be inscribed in any regular polygon . HINT . Circumscribe a circle about the given polygon and prove that the center ...
... polygon . .. a circle can be circumscribed about the given polygon . Q.E.D. PROPOSITION II . THEOREM 384. A circle can be inscribed in any regular polygon . HINT . Circumscribe a circle about the given polygon and prove that the center ...
Σελίδα 196
... regular inscribed polygon . ( 2 ) Tangents drawn at the points of division form a regular circumscribed polygon . F K E B 0 H Hyp . The circumference ACE is divided into the equal arcs AB , BC , CD , etc. ( 1 ) To prove ABCDE is a ...
... regular inscribed polygon . ( 2 ) Tangents drawn at the points of division form a regular circumscribed polygon . F K E B 0 H Hyp . The circumference ACE is divided into the equal arcs AB , BC , CD , etc. ( 1 ) To prove ABCDE is a ...
Σελίδα 197
... polygon FGHIK is regular . ( Ax . 2. ) Q.E.D. 392. COR . 1. The perimeter of a regular inscribed polygon is less than the perimeter of a regular inscribed polygon of double the number of sides . 393. COR . 2. The ... REGULAR POLYGONS 197.
... polygon FGHIK is regular . ( Ax . 2. ) Q.E.D. 392. COR . 1. The perimeter of a regular inscribed polygon is less than the perimeter of a regular inscribed polygon of double the number of sides . 393. COR . 2. The ... REGULAR POLYGONS 197.
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal base angles bisect bisector chord circumference circumscribed cone 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 vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 146 - 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 248 - A straight line perpendicular to one of two parallel planes is perpendicular to the other also.
Σελίδα 165 - The area of a rectangle is equal to the product of its base and altitude. 1\ u Hyp.
Σελίδα 303 - 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 45 - ... the third side of the first is greater than the third side of the second.
Σελίδα 117 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 29 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 178 - 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.
Σελίδα 150 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 148 - If, from a jwint without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and UK external segment.