Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 38.
Σελίδα 2
... locus , of a moving point . When a line is regarded as formed by a moving point the point is said to describe the line . 6. A geometrical figure is a combination of points , lines , surfaces or solids in any given relations ...
... locus , of a moving point . When a line is regarded as formed by a moving point the point is said to describe the line . 6. A geometrical figure is a combination of points , lines , surfaces or solids in any given relations ...
Σελίδα 26
... Compare A C with AO + O B , or with A B Therefore QUERY . Why draw the line O C ? Ex . 19. Prove tha . an equilateral triangle is also equiangular . SUG . See Prop . VI LOCUS OF A POINT . 69. To be able to 26 PLANE GEOMETRY .
... Compare A C with AO + O B , or with A B Therefore QUERY . Why draw the line O C ? Ex . 19. Prove tha . an equilateral triangle is also equiangular . SUG . See Prop . VI LOCUS OF A POINT . 69. To be able to 26 PLANE GEOMETRY .
Σελίδα 27
... locus of the point . The locus of a point is both inclusive and exclusive ; that is , the line , or group of lines , must include all the points which satisfy the given condition , and exclude all points which do not satisfy that ...
... locus of the point . The locus of a point is both inclusive and exclusive ; that is , the line , or group of lines , must include all the points which satisfy the given condition , and exclude all points which do not satisfy that ...
Σελίδα 28
... locus of a point at equal dis- tances from the extremities of a given line . Let A B represent the given line . To determine the locus of a point at equal distances from A and B. This problem means that we are to find the line , or ...
... locus of a point at equal dis- tances from the extremities of a given line . Let A B represent the given line . To determine the locus of a point at equal distances from A and B. This problem means that we are to find the line , or ...
Σελίδα 61
... locus of a point equally distant from the sides of an angle ? 72. What is the locus of a point at equal distances from the two intersecting lines ? 73. The middle point of the hypotenuse of a right tri- angle is at equal distances from ...
... locus of a point equally distant from the sides of an angle ? 72. What is the locus of a point at equal distances from the two intersecting lines ? 73. The middle point of the hypotenuse of a right tri- angle is at equal distances from ...
Άλλες εκδόσεις - Προβολή όλων
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 angle formed angles are equal apothem arc A B bisects chord circumference circumscribed Compare the ratios Compare Zs construct convex COROLLARY cylinder diagonal diameter dihedral angle 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 line perpendicular locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism PROPOSITION XVIII pyramid radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle subtended surface tangent THEOREM triangles A B C trihedral unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 135 - 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 136 - ... 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 290 - 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 209 - 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 117 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 97 - 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 252 - 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.