Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 26
Side 17
... construction will apply when the two trees do F D not stand upon a hori- zontal plane . B The above construction will also apply in case the ground is hori- zontal , and the trees , instead of being vertical , are oblique . ( 24. ) The ...
... construction will apply when the two trees do F D not stand upon a hori- zontal plane . B The above construction will also apply in case the ground is hori- zontal , and the trees , instead of being vertical , are oblique . ( 24. ) The ...
Side 18
... Construction . Make AB equal to the given base ; draw AC , making the angle BAC equal to the given angle , and AC equal to the sum of the other two sides ; join BC , and bisect it by the perpendicu- lar DF ; finally join BF , and ABF ...
... Construction . Make AB equal to the given base ; draw AC , making the angle BAC equal to the given angle , and AC equal to the sum of the other two sides ; join BC , and bisect it by the perpendicu- lar DF ; finally join BF , and ABF ...
Side 22
... construction , the side AB common , and the angle CAB equal to the angle CBA by hypothesis ; therefore two sides and the included angle of the one are respectively equal to two sides and the included angle of the other ; consequently ...
... construction , the side AB common , and the angle CAB equal to the angle CBA by hypothesis ; therefore two sides and the included angle of the one are respectively equal to two sides and the included angle of the other ; consequently ...
Side 29
... construction ; the angle ALF equal to the angle ALG , each being a right angle ; and the side AL com- mon hence we have two angles and the interjacent side of the one triangle equal to two angles and the interjacent side of the other ...
... construction ; the angle ALF equal to the angle ALG , each being a right angle ; and the side AL com- mon hence we have two angles and the interjacent side of the one triangle equal to two angles and the interjacent side of the other ...
Side 43
... construction of the parallel ruler . From the construction , which is readily understood by the aid of the adjoining fignre , it is C B obvious that AB must in every position be parallel to DC , since AB and DC join the corresponding ...
... construction of the parallel ruler . From the construction , which is readily understood by the aid of the adjoining fignre , it is C B obvious that AB must in every position be parallel to DC , since AB and DC join the corresponding ...
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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.