Elements of Geometry: With Practical Applications ...H.H. Howley and Company, 1847 - 308 σελίδες |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 71
... tangent ; and the common point of the line and circumference is called the point of contact . 6. One circle touches another , when their circumferences have only one point common . 7. A line is inscribed in a circle , when its ...
... tangent ; and the common point of the line and circumference is called the point of contact . 6. One circle touches another , when their circumferences have only one point common . 7. A line is inscribed in a circle , when its ...
Σελίδα 78
... tangent to the circumference . Let the line ADB be perpen- dicular to the radius CD at its extremity ; then will AB ... tangent to it . PROPOSITION VI . THEOREM . When a line is tangent to the circumference of a circle , a radius drawn ...
... tangent to the circumference . Let the line ADB be perpen- dicular to the radius CD at its extremity ; then will AB ... tangent to it . PROPOSITION VI . THEOREM . When a line is tangent to the circumference of a circle , a radius drawn ...
Σελίδα 79
... tangent AB , and therefore CD is perpendicular to AB ( B. I , Prop . xxvi ) . Cor . Hence , conversely , a line drawn perpendicular to a tangent at the point of contact , passes through the centre of the circle . PROPOSITION VII ...
... tangent AB , and therefore CD is perpendicular to AB ( B. I , Prop . xxvi ) . Cor . Hence , conversely , a line drawn perpendicular to a tangent at the point of contact , passes through the centre of the circle . PROPOSITION VII ...
Σελίδα 81
... tangent DF to pass through the angular point A. Then , the angle DAC being mea- D- B sured by half the arc ABC , and the angle DAB by half the arc AB ( B. III , Prop . ví ) , it follows that the difference of those angles is measured by ...
... tangent DF to pass through the angular point A. Then , the angle DAC being mea- D- B sured by half the arc ABC , and the angle DAB by half the arc AB ( B. III , Prop . ví ) , it follows that the difference of those angles is measured by ...
Σελίδα 82
... tangent to a circle , and a chord drawn from the point of contact , is equal to the angle in the alternate segment . If AB be a tangent , AC a chord , and D any angle in the alternate segment ADC ; then will the angle D be equal to the ...
... tangent to a circle , and a chord drawn from the point of contact , is equal to the angle in the alternate segment . If AB be a tangent , AC a chord , and D any angle in the alternate segment ADC ; then will the angle D be equal to the ...
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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.