Elements of Geometry: And the First Principles of Modern GeometrySheldon & Company, 1878 - 209 páginas |
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... Triangles Quadrilaterals BOOK I. PAGE 1 · 59 15 1385 14 28 BOOK II . THE CIRCLE • 34 RELATIVE POSITION OF CIRCLES INSCRIBED AND CIRCUMSCRIBED POLYGONS 48 50 PROBLEMS . 52 . BOOK III . RATIO AND PROPORTION AREAS · PROPORTIONAL LINES ...
... Triangles Quadrilaterals BOOK I. PAGE 1 · 59 15 1385 14 28 BOOK II . THE CIRCLE • 34 RELATIVE POSITION OF CIRCLES INSCRIBED AND CIRCUMSCRIBED POLYGONS 48 50 PROBLEMS . 52 . BOOK III . RATIO AND PROPORTION AREAS · PROPORTIONAL LINES ...
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... Triangles The Sphere Spherical Polygons Symmetrical Spherical Polygons Reciprocal Theorems 150 156 157 160 161 · BOOK VIII . MEASUREMENT OF SOLIDS . Prisms and Cylinders Pyramids and Cones Surface of the Sphere Volume of the Sphere ...
... Triangles The Sphere Spherical Polygons Symmetrical Spherical Polygons Reciprocal Theorems 150 156 157 160 161 · BOOK VIII . MEASUREMENT OF SOLIDS . Prisms and Cylinders Pyramids and Cones Surface of the Sphere Volume of the Sphere ...
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... triangle , p . 15 . designates perpendicularity , p . 6 . || designates parallelism , p . 9 . designates congruity , p . 14 . ~ designates similarity , p . 83 . In the references , Roman numerals refer to books , and Arabic numerals to ...
... triangle , p . 15 . designates perpendicularity , p . 6 . || designates parallelism , p . 9 . designates congruity , p . 14 . ~ designates similarity , p . 83 . In the references , Roman numerals refer to books , and Arabic numerals to ...
Página 14
... is greater than an extended angle . It is evident that a line may be drawn cutting the perimeter of a concave polygon in four or more points . TRIANGLES . XV . DEF . 1. An isosceles triangle 14 [ BOOK I. ELEMENTS OF GEOMETRY . POLYGONS.
... is greater than an extended angle . It is evident that a line may be drawn cutting the perimeter of a concave polygon in four or more points . TRIANGLES . XV . DEF . 1. An isosceles triangle 14 [ BOOK I. ELEMENTS OF GEOMETRY . POLYGONS.
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... triangle is one which has two equal sides ; as , ABC . DEF . 2. A scalene triangle is one which has no two equal sides ; as , DEF . E B DEF . 3. An acute - angled triangle has three acute angles ; Das , ABC . F DEF . 4. An obtuse ...
... triangle is one which has two equal sides ; as , ABC . DEF . 2. A scalene triangle is one which has no two equal sides ; as , DEF . E B DEF . 3. An acute - angled triangle has three acute angles ; Das , ABC . F DEF . 4. An obtuse ...
Términos y frases comunes
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
Pasajes populares
Página 19 - IF two triangles have two sides of the one equal to two sides of the...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.