Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 páginas |
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Página 194
... the angles . It has no reference to their geometrical properties , which may be very different , although their magnitudes , as above estimated , may be the same . BOOK SEVENTH . DEFINITIONS . 1. A prism is a 194 ELEMENTS OF GEOMETRY .
... the angles . It has no reference to their geometrical properties , which may be very different , although their magnitudes , as above estimated , may be the same . BOOK SEVENTH . DEFINITIONS . 1. A prism is a 194 ELEMENTS OF GEOMETRY .
Página 195
... prism . B K 2. The equal and parallel plane figures ABCDE , FGHIK are called the bases of the prism . The other planes or parallelograms , taken together , constitute the lateral or convex surface of the prism . 3. The altitude of a prism ...
... prism . B K 2. The equal and parallel plane figures ABCDE , FGHIK are called the bases of the prism . The other planes or parallelograms , taken together , constitute the lateral or convex surface of the prism . 3. The altitude of a prism ...
Página 196
... prism : in every other case , the prism is oblique . 5. A prism is triangular , quadrangular , pentagonal , etc. , according as the base is a triangle , à quadrilateral , a pentagon , etc. 6. A prism which has a parallelo- gram for its ...
... prism : in every other case , the prism is oblique . 5. A prism is triangular , quadrangular , pentagonal , etc. , according as the base is a triangle , à quadrilateral , a pentagon , etc. 6. A prism which has a parallelo- gram for its ...
Página 197
... prisms are equal , when a solid angle in each is contained by three planes , which are equal in both , and similarly ... prism abci . For , apply the base ABCDE upon its equal abcde , so that the bases ( being equal ) may coincide . But ...
... prisms are equal , when a solid angle in each is contained by three planes , which are equal in both , and similarly ... prism abci . For , apply the base ABCDE upon its equal abcde , so that the bases ( being equal ) may coincide . But ...
Página 198
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB is equal to ab , and the altitude BG to bg , the rectangle ABGF will be equal to abgf , and , in the same way , the rectangle BGHC will be equal ...
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB is equal to ab , and the altitude BG to bg , the rectangle ABGF will be equal to abgf , and , in the same way , the rectangle BGHC will be equal ...
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Términos y frases comunes
a+b+c AC² altitude angle ACD angle BAC bisect centre chord circ circular sector circumference cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed four right angles given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel planes parallelogram parallelopipedon pendicular perimeter perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right angles right-angled triangle Sabc Schol Scholium semicircle semicircumference side AC similar similar triangles solid angle solid described sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Pasajes populares
Página 37 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Página 180 - THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane.
Página 139 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Página 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Página 43 - In a right-angled triangle, the side opposite the right angle is" called the Hypothenuse ; and the other two sides are cal4ed the Legs, and sometimes the Base and Perpendicular.
Página 184 - THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel.
Página 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Página 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Página 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Página 12 - 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.