Elements of Geometry: With Practical Applications Designed for BeginnersD. Appleton, 1853 - 320 σελίδες |
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Σελίδα 26
... respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles ...
... respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles ...
Σελίδα 27
... 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 , ( Prop . 111 , ) and we have the angle ACF equal to the angle GBF ...
... 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 , ( Prop . 111 , ) and we have the angle ACF equal to the angle GBF ...
Σελίδα 28
... respectively equal to two sides and the included angle of the other ; conse- quently the triangle DAB is equal to the triangle CBA , ( Prop . III . ) But a part cannot be equal to the whole ; ( Ax . VIII ; ) hence there can be no ...
... respectively equal to two sides and the included angle of the other ; conse- quently the triangle DAB is equal to the triangle CBA , ( Prop . III . ) But a part cannot be equal to the whole ; ( Ax . VIII ; ) hence there can be no ...
Σελίδα 29
... respectively equal to the three sides of the other , the triangles will be identical , and equal in all res- pects . Let the two triangles ABC ABD have their sides respect- ively equal , namely , AB equal to AB , AC equal to AD , and BC ...
... respectively equal to the three sides of the other , the triangles will be identical , and equal in all res- pects . Let the two triangles ABC ABD have their sides respect- ively equal , namely , AB equal to AB , AC equal to AD , and BC ...
Σελίδα 26
... respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles ...
... respectively equal to DG and FG , and the remaining angle C equal to the remaining angle G. PROPOSITION V. THEOREM . In an isosceles triangle , the angles at the base are equal ; or , if a triangle have two sides equal , the angles ...
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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