Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 62.
Σελίδα 10
... joining the vertices of two angles , not adjacent . ( 19. ) From the above definitions , in connection with the diagrams , it will be readily seen that the triangle has no diagonal , the quadri- lateral has two diagonals , the pentagon ...
... joining the vertices of two angles , not adjacent . ( 19. ) From the above definitions , in connection with the diagrams , it will be readily seen that the triangle has no diagonal , the quadri- lateral has two diagonals , the pentagon ...
Σελίδα 17
... Join CD , and bisect it by the perpendicular FG ; then will the point G be the point sought . For , if we join GC , GD , we shall have the triangle GFC equal to GFD , since the side FC is equal to FD , the side FG common , and the angle ...
... Join CD , and bisect it by the perpendicular FG ; then will the point G be the point sought . For , if we join GC , GD , we shall have the triangle GFC equal to GFD , since the side FC is equal to FD , the side FG common , and the angle ...
Σελίδα 18
... join BC , and bisect it by the perpendicu- lar DF ; finally join BF , and ABF will be the triangle required . This is obvious from what has already been done . D PROPOSITION IV . THEOREM . If two triangles have two 18 ELEMENTS OF GEOMETRY .
... join BC , and bisect it by the perpendicu- lar DF ; finally join BF , and ABF will be the triangle required . This is obvious from what has already been done . D PROPOSITION IV . THEOREM . If two triangles have two 18 ELEMENTS OF GEOMETRY .
Σελίδα 21
... join BG . Now , in the two triangles AFC and GFB , the sides FA and FC are respectively equal to the sides FG and FB , and the opposite angles AFC and GFB are equal ( Prop . II ) ; therefore these two triangles are equal in all respects ...
... join BG . Now , in the two triangles AFC and GFB , the sides FA and FC are respectively equal to the sides FG and FB , and the opposite angles AFC and GFB are equal ( Prop . II ) ; therefore these two triangles are equal in all respects ...
Σελίδα 22
... join DB . Now in the two triangles DAB and CBA , we have DA equal to CB by 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 ...
... join DB . Now in the two triangles DAB and CBA , we have DA equal to CB by 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 ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Σελίδα 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Σελίδα 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.