Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 76
... chord . The chord is said to sub- tend the arc . 3. The portion of the circle in- cluded by an arc and its chord , is called a segment . A H Thus the space FGDF , included by the arc FGD and the chord FD , is a segment ; so also is the ...
... chord . The chord is said to sub- tend the arc . 3. The portion of the circle in- cluded by an arc and its chord , is called a segment . A H Thus the space FGDF , included by the arc FGD and the chord FD , is a segment ; so also is the ...
Σελίδα 77
... to be circumscribed about the circle . 12. By an angle in a segment of a circle , is to be un- derstood an angle whose vertex is in the arc , and whose sides intercept the chord of said arc ; and by 7 * BOOK III . 77 B ...
... to be circumscribed about the circle . 12. By an angle in a segment of a circle , is to be un- derstood an angle whose vertex is in the arc , and whose sides intercept the chord of said arc ; and by 7 * BOOK III . 77 B ...
Σελίδα 78
... chord , it will be perpendicular to the chord ; or , if the line drawn from the centre be perpendicular to the chord , it will bisect the chord and , if produced , the arc of the chord . Let AB be any chord in a circle , and CD a line ...
... chord , it will be perpendicular to the chord ; or , if the line drawn from the centre be perpendicular to the chord , it will bisect the chord and , if produced , the arc of the chord . Let AB be any chord in a circle , and CD a line ...
Σελίδα 79
... chord AB be bisected at the point D , or have AD equal to DB ; and the arc AFB will be bisected at the point F , or have AF equal to FB . For , drawing CA , CB as before , we have the triangle CAB isosceles , and consequently the angle ...
... chord AB be bisected at the point D , or have AD equal to DB ; and the arc AFB will be bisected at the point F , or have AF equal to FB . For , drawing CA , CB as before , we have the triangle CAB isosceles , and consequently the angle ...
Σελίδα 81
... Chords in a circle , which are equally dis- tant from the centre , are equal to each other . Con- versely , if chords in the same circle are equal to each other , they will be equally distant from the centre . Let AB , CD be any two chords ...
... Chords in a circle , which are equally dis- tant from the centre , are equal to each other . Con- versely , if chords in the same circle are equal to each other , they will be equally distant from the centre . Let AB , CD be any two chords ...
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Elements of Geometry With Practical Applications George R Perkins Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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a+b+c altitude angle ABC angle ACD angle BAC bisect centre chord circ circular sector circumference circumscribed polygon coincide cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle ference figure formed given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC line CD lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel lines parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN point G prism PROBLEM produced Prop proportional PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right-angled triangle Sabc Schol Scholium scribed semicircle semicircumference side AC similar solid angle sphere spherical polygon square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII