Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
From inside the book
Results 1-5 of 75
Page vi
... circumference 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 FIFTH BOOK . Definitions ...
... circumference 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 FIFTH BOOK . Definitions ...
Page 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 ...
Page 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 ...
Page
... 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 ...
Page 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 ...
Other editions - View all
Common terms and phrases
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Popular passages
Page 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Page 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Page 33 - 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.
Page 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'.
Page 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.
Page 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Page 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Page 107 - ... similar figures are to each other as the squares of their homologous sides.
Page 180 - Every section of a sphere, made by a plane, is a circle.