Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 72
... circumscribe the polygon . Thus AB is an inscribed line , ABC an inscribed angle , and the figure ABCDF an inscribed poly- gon . 10. A circle is inscribed in a polygon when its circumference F D touches each side , and the polygon is ...
... circumscribe the polygon . Thus AB is an inscribed line , ABC an inscribed angle , and the figure ABCDF an inscribed poly- gon . 10. A circle is inscribed in a polygon when its circumference F D touches each side , and the polygon is ...
Σελίδα 131
... circumscribed circle ; then will AB X AC = AD × CF. For , joining AF , the tri- angles ABD , AFC are right- angled , the one at D , the other at A ; also the angle B = F , each being measured by half the arc AC ( B. III , Prop . VIII ) ...
... circumscribed circle ; then will AB X AC = AD × CF. For , joining AF , the tri- angles ABD , AFC are right- angled , the one at D , the other at A ; also the angle B = F , each being measured by half the arc AC ( B. III , Prop . VIII ) ...
Σελίδα 139
... required . Cor . The three lines bisecting the three angles of a triangle meet at the same point , which point is the centre of the inscribed circle . PROPOSITION IV . PROBLEM . To circumscribe a circle about BOOK V. 139.
... required . Cor . The three lines bisecting the three angles of a triangle meet at the same point , which point is the centre of the inscribed circle . PROPOSITION IV . PROBLEM . To circumscribe a circle about BOOK V. 139.
Σελίδα 140
... circumscribe a circle about a given triangle . Let ABC be the given tri- angle . Bisect the sides CA , CB with the perpendiculars DG , FG , which must meet in some point G ; for , if they did not meet , they would be parallel , A and ...
... circumscribe a circle about a given triangle . Let ABC be the given tri- angle . Bisect the sides CA , CB with the perpendiculars DG , FG , which must meet in some point G ; for , if they did not meet , they would be parallel , A and ...
Σελίδα 142
... circumscribed about any given regular polygon ; so also may a circle be inscribed in any given regular polygon . Let ABCDFG be a regular polygon . Through any three conse- cutive corners of the polygon , as A , B , C , describe the cir ...
... circumscribed about any given regular polygon ; so also may a circle be inscribed in any given regular polygon . Let ABCDFG be a regular polygon . Through any three conse- cutive corners of the polygon , as A , B , C , describe the cir ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Σελίδα 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Σελίδα 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.