Elements of Geometry: With, Practical ApplicationsD. Appleton and Company, 1850 - 320 sider |
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Resultat 1-5 av 14
Side 27
... triangle is equiangular , or has all its angles equal . PROPOSITION VI . THEOREM . When one side of a triangle is produced , the exterior angle is greater than either of the two interior and opposite angles . Let ABC be a triangle ...
... triangle is equiangular , or has all its angles equal . PROPOSITION VI . THEOREM . When one side of a triangle is produced , the exterior angle is greater than either of the two interior and opposite angles . Let ABC be a triangle ...
Side 35
... angle BAC , ( Prop . xi ; ) and through the point S draw GF perpendicular to AK , ( Prop . xiv , ) and it will be ... exterior angle in reference to the triangle CDB , it is greater than the interior angle ABC , ( Prop . vi ; ) but since ...
... angle BAC , ( Prop . xi ; ) and through the point S draw GF perpendicular to AK , ( Prop . xiv , ) and it will be ... exterior angle in reference to the triangle CDB , it is greater than the interior angle ABC , ( Prop . vi ; ) but since ...
Side 38
... angle AFG , and meeting the line AB in the point B. The angle AFG , being exterior in reference to the trian- gle GFB , is greater than the interior and opposite angle FGB , ( Prop . VI . ) Hence , the angle AFG is greater and equal to ...
... angle AFG , and meeting the line AB in the point B. The angle AFG , being exterior in reference to the trian- gle GFB , is greater than the interior and opposite angle FGB , ( Prop . VI . ) Hence , the angle AFG is greater and equal to ...
Side 40
... exterior angle is equal to the interior and opposite one , on the same side ; and the two interior angles , on the same side , are together equal to two right - angles . Let ... exterior angle equal to the interior 40 ELEMENTS OF GEOMETRY .
... exterior angle is equal to the interior and opposite one , on the same side ; and the two interior angles , on the same side , are together equal to two right - angles . Let ... exterior angle equal to the interior 40 ELEMENTS OF GEOMETRY .
Side 41
With, Practical Applications George Roberts Perkins. lines , making the exterior angle equal to the interior and opposite one , those two lines will be parallels . Cor . 2. If a line , cutting two other lines , make the sum of the two ...
With, Practical Applications George Roberts Perkins. lines , making the exterior angle equal to the interior and opposite one , those two lines will be parallels . Cor . 2. If a line , cutting two other lines , make the sum of the two ...
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Elements of Geometry: With Practical Applications ... George Roberts Perkins Uten tilgangsbegrensning - 1847 |
Elements of Geometry: With Practical Applications Designed for Beginners George Roberts Perkins Uten tilgangsbegrensning - 1853 |
Elements of Geometry With Practical Applications George R Perkins Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
a+b+c altitude angle ABC angle BAC angle BCD bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder denote diagonal diameter dicular distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line AC line CD lines drawn measured by half meet multiplied number of sides parallel planes parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar similar triangles solid angle sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Populære avsnitt
Side 231 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Side 147 - 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 17 - 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 28 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Side 233 - The volume of a cylinder is equal to the product of its base by its altitude. Let the volume of the cylinder be denoted by V, its base by B, and its altitude by H.
Side 276 - THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side...
Side 120 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Side 18 - 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.
Side 232 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 96 - Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional.