Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 89.
Σελίδα 82
... circle is a portion of a plane bounded by a curved line all points of which are equally distant from a fixed point within it . The fixed point is called the center of the circle ... circle is a straight line joining CHAPTER II THE CIRCLE,
... circle is a portion of a plane bounded by a curved line all points of which are equally distant from a fixed point within it . The fixed point is called the center of the circle ... circle is a straight line joining CHAPTER II THE CIRCLE,
Σελίδα 83
... circle is any straight line meeting the circumference in two points and passing through at least one of these points ; as CD E. A secant may be considered as a chord extended . B 136. A tangent to a circle is a straight line which has ...
... circle is any straight line meeting the circumference in two points and passing through at least one of these points ; as CD E. A secant may be considered as a chord extended . B 136. A tangent to a circle is a straight line which has ...
Σελίδα 84
... circle is less than the radius and the distance from the center to any point without the circle is greater than the radius . PROPOSITION I. THEOREM . 140. Two circles are equal if the radius of one equals the radius of the other . S Let ...
... circle is less than the radius and the distance from the center to any point without the circle is greater than the radius . PROPOSITION I. THEOREM . 140. Two circles are equal if the radius of one equals the radius of the other . S Let ...
Σελίδα 85
... circle into two equal parts . A 0 Let A D B C represent a circle , and A B a diameter . To prove that A B divides the circle into two equal parts . SUG . 1. Revolve the segment A D B about the line A OB into the plane A CB . SUG . 2 ...
... circle into two equal parts . A 0 Let A D B C represent a circle , and A B a diameter . To prove that A B divides the circle into two equal parts . SUG . 1. Revolve the segment A D B about the line A OB into the plane A CB . SUG . 2 ...
Σελίδα 87
... circle , or in equal circles , equal arcs subtend equal angles at the center . Let O and S represent equal circles , and let A B and C D represent equal arcs . To prove that the angle A O B equals the angle CSD . SUG . 1. Place OO upon ...
... circle , or in equal circles , equal arcs subtend equal angles at the center . Let O and S represent equal circles , and let A B and C D represent equal arcs . To prove that the angle A O B equals the angle CSD . SUG . 1. Place OO upon ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D A B C and D E F A B sustain A C equals adjacent angles altitude angles are equal apothem arc A B bisects chord circumference circumscribed Compare the ratios Compare Zs construct COROLLARY cylinder diagonal diameter dihedral angles distance draw drawn equal circles equal in area equally distant equals the ratio frustum Give auth given line given point Hence hypotenuse inscribed angle intersect isosceles triangle lateral area lateral edges Let A B C represent line A B locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism Prop PROPOSITION XVIII pyramid radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle subtended tangent THEOREM triangles A B C trihedral unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 137 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 48 - 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 138 - ... 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 59 - 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 292 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Σελίδα 211 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.
Σελίδα 119 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 96 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.
Σελίδα 254 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three...
Σελίδα 263 - 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.