Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 σελίδες |
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Αποτελέσματα 1 - 5 από τα 64.
Σελίδα 5
... less than a right angle , is called an acute angle ; and every angle DFG which is greater than a right angle , is called an obtuse angle . G C A B F D A3 A1 B Αρ ( 11. ) If we suppose the extremity B of the line AB to be fixed , while ...
... less than a right angle , is called an acute angle ; and every angle DFG which is greater than a right angle , is called an obtuse angle . G C A B F D A3 A1 B Αρ ( 11. ) If we suppose the extremity B of the line AB to be fixed , while ...
Σελίδα 24
... less than the sum of the two others , being given , to construct a triangle whose sides shall be respectively equal to them . D Make the line DF equal to the line A ; and with D and F as centres , and with radii equal respectively to ...
... less than the sum of the two others , being given , to construct a triangle whose sides shall be respectively equal to them . D Make the line DF equal to the line A ; and with D and F as centres , and with radii equal respectively to ...
Σελίδα 29
... than the side AC ; then will the angle ACB opposite the greater side AB be greater than the angle ABC op- posite the less side . A C B D For , from the greater side AB take a portion C 2 BOOK I. 29 For, joining DA and FA, DG and FG...
... than the side AC ; then will the angle ACB opposite the greater side AB be greater than the angle ABC op- posite the less side . A C B D For , from the greater side AB take a portion C 2 BOOK I. 29 For, joining DA and FA, DG and FG...
Σελίδα 30
... less side AC , and join CD . Now , since the angle ADC is an exterior angle in reference to the triangle CDB , it is ... less than it . But it cannot be equal ; for then the angle ACB would be equal to the angle ABC ( Prop . v ) , which ...
... less side AC , and join CD . Now , since the angle ADC is an exterior angle in reference to the triangle CDB , it is ... less than it . But it cannot be equal ; for then the angle ACB would be equal to the angle ABC ( Prop . v ) , which ...
Σελίδα 31
... less than the sum of any other two lines drawn from B and A to meet in a point of the mirror , such as the two lines BK , KA . Produce BD until DF is equal to BD , and join KF , and then as in ( 21 ) we can show that KF is equal to KB ...
... less than the sum of any other two lines drawn from B and A to meet in a point of the mirror , such as the two lines BK , KA . Produce BD until DF is equal to BD , and join KF , and then as in ( 21 ) we can show that KF is equal to KB ...
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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.