Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 sider |
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Resultat 1-5 av 48
Side 15
... manner , the line BF , meeting the line CD , makes the sum of the two angles BFC , BFD equal to two right angles . Therefore the sum of the two angles AFC , BFC is equal to the sum of the two BFC , BFD ( Ax . I ) . And if the angle BFC ...
... manner , the line BF , meeting the line CD , makes the sum of the two angles BFC , BFD equal to two right angles . Therefore the sum of the two angles AFC , BFC is equal to the sum of the two BFC , BFD ( Ax . I ) . And if the angle BFC ...
Side 16
... manner that the point C may coincide with the point G , and the side CA with the equal side GD . Then , since the angle G is equal to the angle C , the side CB will take the direction of the side GF . Also CB being equal to GF , the ...
... manner that the point C may coincide with the point G , and the side CA with the equal side GD . Then , since the angle G is equal to the angle C , the side CB will take the direction of the side GF . Also CB being equal to GF , the ...
Side 19
... manner that the side AB may coincide with the equal side DF . Then , since the angle D is equal to the angle A , the side AC will take the direction of the side DG ; also , since the angle F is equal to the angle B , the side BC will ...
... manner that the side AB may coincide with the equal side DF . Then , since the angle D is equal to the angle A , the side AC will take the direction of the side DG ; also , since the angle F is equal to the angle B , the side BC will ...
Side 21
... manner , if CB be produced to H , and AB be bisected , it may be shown that the exterior angle ABH , or its equal CBD , is greater than the other interior angle BAC . PROPOSITION VII . THEOREM . When a triangle has two BOOK I. 21.
... manner , if CB be produced to H , and AB be bisected , it may be shown that the exterior angle ABH , or its equal CBD , is greater than the other interior angle BAC . PROPOSITION VII . THEOREM . When a triangle has two BOOK I. 21.
Side 23
... manner , in the triangle BCD , since BC is equal to BD , we have the angle BCD equal to the angle BDC . Hence the angle ACB , which is the sum of ACD and BCD , is equal to the angle ADB , which is the sum of ADC and BDC . Since , then ...
... manner , in the triangle BCD , since BC is equal to BD , we have the angle BCD equal to the angle BDC . Hence the angle ACB , which is the sum of ACD and BCD , is equal to the angle ADB , which is the sum of ADC and BDC . Since , then ...
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Elements of Geometry: With, Practical Applications George Roberts Perkins Uten tilgangsbegrensning - 1850 |
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 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.