Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
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Σελίδα ix
... surface of the solid . Dis- tinct flat portions of the bounding surface are called faces . As we can think of the surface of a body without in- cluding any of its substance , surface may be regarded as having no thickness . Definition .
... surface of the solid . Dis- tinct flat portions of the bounding surface are called faces . As we can think of the surface of a body without in- cluding any of its substance , surface may be regarded as having no thickness . Definition .
Σελίδα 1
... surface of the solid . Dis- tinct flat portions of the bounding surface are called faces . As we can think of the surface of a body without in- cluding any of its substance , surface may be regarded as having no thickness . Definition .
... surface of the solid . Dis- tinct flat portions of the bounding surface are called faces . As we can think of the surface of a body without in- cluding any of its substance , surface may be regarded as having no thickness . Definition .
Σελίδα 2
... surface may be conceived apart from a solid , a line apart from a surface and a point apart from a line . If a point be conceived to move , the path in which it moves is a line , hence a line may be regarded as the path , or locus , of ...
... surface may be conceived apart from a solid , a line apart from a surface and a point apart from a line . If a point be conceived to move , the path in which it moves is a line , hence a line may be regarded as the path , or locus , of ...
Σελίδα 3
... surface , or a plane , A B E is a surface such that if any two of its points be joined by a straight line the line will lie wholly in the surface . 11. A plane figure is a figure which lies wholly in the same plane . 12. A plane figure ...
... surface , or a plane , A B E is a surface such that if any two of its points be joined by a straight line the line will lie wholly in the surface . 11. A plane figure is a figure which lies wholly in the same plane . 12. A plane figure ...
Σελίδα 87
... surfaces and solids . To measure a quantity is to find out how many times it contains another selected quantity of the same kind , called the unit of measure . In every day experience , the unit of measure is a standard ac- cepted by ...
... surfaces and solids . To measure a quantity is to find out how many times it contains another selected quantity of the same kind , called the unit of measure . In every day experience , the unit of measure is a standard ac- cepted by ...
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.