Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D A B C and D E F A O B adjacent angles altitude angle formed angles are equal apothem base and altitude bisects chord circumference circumscribed Compare the ratios construct convex COROLLARY cylinder diagonal diameter dihedral angle distance draw drawn equal circles equal in area equals the ratio equilateral faces frustum Give auth given line given point Hence hypotenuse interior angles intersect isosceles triangle lateral area lateral edges Let A B C represent locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism Prop PROPOSITION III PROPOSITION XII pyramid quantities radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle square subtended surface tangent THEOREM triangles A B C trihedral unit of measure vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 189 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 64 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 190 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 66 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 19 - If two triangles have two sides, and an included angle of the one, equal to two sides and the included angle of the other, each to each, the remaining parts will also be equal.
Σελίδα 159 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 335 - That is, 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 the radii of their bases.
Σελίδα 81 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 75 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 391 - Two triangles are congruent if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 2. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.