Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton & Company, 1856 - 235 σελίδες |
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Αποτελέσματα 1 - 5 από τα 71.
Σελίδα vi
... circumference 101 102 107 112 116 Ratio of the circumference to its diameter . 121 PROBLEMS . Construction of proportional lines . 126 Problems of areas 130 Construction of similar polygons under certain conditions . 132 Definitions ...
... circumference 101 102 107 112 116 Ratio of the circumference to its diameter . 121 PROBLEMS . Construction of proportional lines . 126 Problems of areas 130 Construction of similar polygons under certain conditions . 132 Definitions ...
Σελίδα 6
... circumference of a circle , which may be thus defined : The circumference of a circle is a plane curve returning into itself , every point of which is equally distant from a certain point in its plane , which point is called the centre ...
... circumference of a circle , which may be thus defined : The circumference of a circle is a plane curve returning into itself , every point of which is equally distant from a certain point in its plane , which point is called the centre ...
Σελίδα 7
... circumference of the circle , which are the only lines treated of in Elementary Geometry , are respectively traced or drawn upon a plane , by the aid of the Ruler and of the Compass . These instruments are so simple , and of such ...
... circumference of the circle , which are the only lines treated of in Elementary Geometry , are respectively traced or drawn upon a plane , by the aid of the Ruler and of the Compass . These instruments are so simple , and of such ...
Σελίδα 12
... circumference of a circle to its diameter , the diagonal of a square to its sides , etc. Hence many have deemed the arith- metical method not sufficiently general to apply to geometry . This would be a safe inference , were it necessary ...
... circumference of a circle to its diameter , the diagonal of a square to its sides , etc. Hence many have deemed the arith- metical method not sufficiently general to apply to geometry . This would be a safe inference , were it necessary ...
Σελίδα 40
... circumference of a circle is a curved line , all the points of which are equally distant from a point within called the centre . circle is the space bounded by the circum- ference . The II . Any straight line drawn from the cen- tre to ...
... circumference of a circle is a curved line , all the points of which are equally distant from a point within called the centre . circle is the space bounded by the circum- ference . The II . Any straight line drawn from the cen- tre to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c altitude apothem bisect centre chord circumference circumscribed cone consequently corresponding cosec Cosine Cotang cube cubic cylinder decimal denote diameter dicular divided draw drawn equation equivalent exterior angles feet figure frustum Geom give greater half hence hypotenuse inches intersection logarithm measure multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right-angled triangle Scholium secant sector similar similar triangles Sine slant height solid solve the triangle sphere spherical triangle square straight line subtract suppose surface Tang tangent THEOREM three sides triangle ABC triangular prism volume ΙΟ
Δημοφιλή αποσπάσματα
Σελίδα 35 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 80 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 17 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 176 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 182 - Every section of a sphere, made by a plane, is a circle.
Σελίδα 28 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C ' with Proof STATEMENTS Apply A A'B'C ' to A ABC so that A'B
Σελίδα 165 - ... bases simply : hence two prisms of the same altitude are to each other as their bases. For a like reason, two prisms of the same base are to each other as their altitudes.
Σελίδα 29 - ... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is.
Σελίδα 13 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.