Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
Inni boken
Resultat 1-5 av 34
Side 24
... radii equal respectively to the lines B and C , describe arcs intersecting at the point G ( Post . III ) . Join DG , FG ( Post . I ) , and the tri- angle DGF will be the triangle required , since the three sides are equal to the three ...
... radii equal respectively to the lines B and C , describe arcs intersecting at the point G ( Post . III ) . Join DG , FG ( Post . I ) , and the tri- angle DGF will be the triangle required , since the three sides are equal to the three ...
Side 27
... radii , describe arcs intersecting each other at D ; then , BD being drawn , it will bisect the angle ABC . For , drawing AD , CD , the three sides of the triangle ABD are equal respectively to the three sides of the triangle CBD ...
... radii , describe arcs intersecting each other at D ; then , BD being drawn , it will bisect the angle ABC . For , drawing AD , CD , the three sides of the triangle ABD are equal respectively to the three sides of the triangle CBD ...
Side 28
... radii , describe arcs ( Post . III ) intersecting at C and D. Draw CD ( Post . I ) , and it will be perpendicular to AB , and will bisect it at the point F. A B For , by joining AC and BC , AD and BD , we shall have two triangles CAD ...
... radii , describe arcs ( Post . III ) intersecting at C and D. Draw CD ( Post . I ) , and it will be perpendicular to AB , and will bisect it at the point F. A B For , by joining AC and BC , AD and BD , we shall have two triangles CAD ...
Side 66
... radii of the two circles ; therefore CA + CB2 must always amount to the same constant value . In a similar way it may be shown that the sum of the squares of the two lines , drawn from any point in the circumference of the smaller ...
... radii of the two circles ; therefore CA + CB2 must always amount to the same constant value . In a similar way it may be shown that the sum of the squares of the two lines , drawn from any point in the circumference of the smaller ...
Side 71
... radii and the intercepted arc , is called a sector . The space BCH is a sector . 5. When a straight line touches the circumference in only one point , it is called a tangent ; and the common point of the line and circumference is called ...
... radii and the intercepted arc , is called a sector . The space BCH is a sector . 5. When a straight line touches the circumference in only one point , it is called a tangent ; and the common point of the line and circumference is called ...
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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.