Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 48
Side 19
... are identical ( Ax . IX ) , having the two sides AC and BC respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the BOOK I. 19.
... are identical ( Ax . IX ) , having the two sides AC and BC respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the BOOK I. 19.
Side 21
... respectively equal to the sides FG and FB , and the opposite angles AFC and GFB are equal ( Prop . II ) ; therefore these two triangles are equal in all respects ( Prop . II ) , and we have the angle ACF equal to the angle GBF ...
... respectively equal to the sides FG and FB , and the opposite angles AFC and GFB are equal ( Prop . II ) ; therefore these two triangles are equal in all respects ( Prop . II ) , and we have the angle ACF equal to the angle GBF ...
Side 22
... respectively equal to two sides and the included angle of the other ; consequently the triangle DAB is equal to the triangle CBA ( Prop . m ) . But a part cannot be equal to the whole ( Ax . VIII ) ; hence there can be no inequality ...
... respectively equal to two sides and the included angle of the other ; consequently the triangle DAB is equal to the triangle CBA ( Prop . m ) . But a part cannot be equal to the whole ( Ax . VIII ) ; hence there can be no inequality ...
Side 23
... respective- ly equal , namely , AB equal to AB , AC equal to AD , and BC A equal to BD ; then will these triangles be ... respectively to the two sides AD and BD , and their in- cluded angle ADB , of the triangle ADB , it therefore ...
... respective- ly equal , namely , AB equal to AB , AC equal to AD , and BC A equal to BD ; then will these triangles be ... respectively to the two sides AD and BD , and their in- cluded angle ADB , of the triangle ADB , it therefore ...
Side 24
... 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 the lines B and C , describe arcs intersecting at the point G ( Post . III ) . Join DG , FG ( Post ...
... 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 the lines B and C , describe arcs intersecting at the point G ( Post . III ) . Join DG , FG ( Post ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Side 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.
Side 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.
Side 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.
Side 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Side 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Side 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.