Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 42
Side 5
... pass over an angular magnitude equal to four right an- gles . It is obvious that this angular magnitude has no dependence upon the length of the revolving line . As A1 A6 Angular magnitude is expressed numerically by supposing the whole ...
... pass over an angular magnitude equal to four right an- gles . It is obvious that this angular magnitude has no dependence upon the length of the revolving line . As A1 A6 Angular magnitude is expressed numerically by supposing the whole ...
Side 11
... passing through the centre , and terminating each way in the circumference , is called a diameter . DEFINITION OF TERMS . 1. An axiom is a self - evident proposition . 2. A theorem is a truth , which becomes evident by means of a train ...
... passing through the centre , and terminating each way in the circumference , is called a diameter . DEFINITION OF TERMS . 1. An axiom is a self - evident proposition . 2. A theorem is a truth , which becomes evident by means of a train ...
Side 29
... passing through S , so that the distances A AF , AG shall be equal . G K L B F Solution . Draw the line AK , bisecting the angle BAC ( Prop . x1 ) ; and through the point S draw GF perpendicular to AK ( Prop . xiv ) , and it will be the ...
... passing through S , so that the distances A AF , AG shall be equal . G K L B F Solution . Draw the line AK , bisecting the angle BAC ( Prop . x1 ) ; and through the point S draw GF perpendicular to AK ( Prop . xiv ) , and it will be the ...
Side 31
... passing from the candle to the mirror , and thence to the eye , obeying the law of nature , that is , making the angle of reflection equal B T to the angle of incidence , takes the minimum route . In other words , prove that the sum of ...
... passing from the candle to the mirror , and thence to the eye , obeying the law of nature , that is , making the angle of reflection equal B T to the angle of incidence , takes the minimum route . In other words , prove that the sum of ...
Side 32
... pass from B to A , by the reflection of the mirror CD , is , by the law of nature , the shortest possible . PROPOSITION XVII . THEOREM . When a line intersects two parallel lines , it makes the alternate angles equal to each other . Let ...
... pass from B to A , by the reflection of the mirror CD , is , by the law of nature , the shortest possible . PROPOSITION XVII . THEOREM . When a line intersects two parallel lines , it makes the alternate angles equal to each other . Let ...
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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.