Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 σελίδες |
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Σελίδα
... CIRCLE • 34 RELATIVE POSITION OF CIRCLES INSCRIBED AND CIRCUMSCRIBED POLYGONS 48 50 PROBLEMS . 52 . BOOK III . RATIO AND PROPORTION AREAS · PROPORTIONAL LINES SIMILAR POLYGONS TRANSVERSALS LINES ON THE CIRCLE PROBLEMS CERR 63 67 79 83 ...
... CIRCLE • 34 RELATIVE POSITION OF CIRCLES INSCRIBED AND CIRCUMSCRIBED POLYGONS 48 50 PROBLEMS . 52 . BOOK III . RATIO AND PROPORTION AREAS · PROPORTIONAL LINES SIMILAR POLYGONS TRANSVERSALS LINES ON THE CIRCLE PROBLEMS CERR 63 67 79 83 ...
Σελίδα
... CIRCLE . Pascal's Theorem Brianchon's Theorem HARMONIC PROPORTION · POLES AND POLARS WITH RESPECT TO A CIRCLE RECIPROCAL POLARS Salmon's Theorem RADICAL AXIS OF CIRCLES . CENTRES OF SIMILITUDE 165 172 177 183 187 192 194 195 196 198 202 ...
... CIRCLE . Pascal's Theorem Brianchon's Theorem HARMONIC PROPORTION · POLES AND POLARS WITH RESPECT TO A CIRCLE RECIPROCAL POLARS Salmon's Theorem RADICAL AXIS OF CIRCLES . CENTRES OF SIMILITUDE 165 172 177 183 187 192 194 195 196 198 202 ...
Σελίδα 33
... the equal sides , the pe- rimeter of the parallelogram thus formed is constant . 10. Any line bisecting the diagonal of a parallelogram bisects the parallelogram . BOOK II . THE CIRCLE . I. DEFINITIONS . 1. BOOK I. ] 33 POLYGONS .
... the equal sides , the pe- rimeter of the parallelogram thus formed is constant . 10. Any line bisecting the diagonal of a parallelogram bisects the parallelogram . BOOK II . THE CIRCLE . I. DEFINITIONS . 1. BOOK I. ] 33 POLYGONS .
Σελίδα 34
... CIRCLE . I. DEFINITIONS . 1. A circle is a portion of a plane bounded by a curved line every point of which is equally distant from a point within called the centre . A F E B 2. The curve is called the cir- cumference of the circle . 3 ...
... CIRCLE . I. DEFINITIONS . 1. A circle is a portion of a plane bounded by a curved line every point of which is equally distant from a point within called the centre . A F E B 2. The curve is called the cir- cumference of the circle . 3 ...
Σελίδα 35
... circle included between an arc and its chord ; as , DFE . 8. A sector is the figure included between an arc and the radii drawn to its extremities ; as , BOC . II . Theorem . A diameter divides the circle and its circum- ference into ...
... circle included between an arc and its chord ; as , DFE . 8. A sector is the figure included between an arc and the radii drawn to its extremities ; as , BOC . II . Theorem . A diameter divides the circle and its circum- ference into ...
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude angles are equal anharmonic ratio bisect called centre chord circle circumference circumscribed polygon cone congruent construct cylinder diagonals diameter dihedrals distance divided draw equal altitudes equal bases equally distant equations equiangular EXERCISE exterior angle face angles formed frustum Geometry harmonically hence homologous HYPOTH infinite number inscribed angle intersection lateral edges line joining lines drawn locus middle point number of sides Olney's opposite sides P₁ parallel lines parallelogram parallelopiped pass perpendicular plane angle point of contact polar pole polyhedral polyhedron prism Problem PROOF proportional PROVED pyramid quadrilateral radical axis radii radius rectangle regular polygon right angles SCHOLIUM segments solid angle sphere spherical excess spherical polygon spherical triangle square straight line symmetrical tangent Theorem triangle ABC trihedrals vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 19 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 34 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Σελίδα 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 170 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.
Σελίδα 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.