The Elements of Plane and Solid GeometryLongmans, Green, and Company, 1872 - 285 sider |
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Resultat 1-5 av 17
Side 63
... segments , and the angle between the two straight lines drawn from any point of a segment to its extremities is called an angle in that segment . EXAMPLES . I. Two equal straight lines are drawn from a given point to the circumference ...
... segments , and the angle between the two straight lines drawn from any point of a segment to its extremities is called an angle in that segment . EXAMPLES . I. Two equal straight lines are drawn from a given point to the circumference ...
Side 68
... segments , into which these chords are divided , at the given point are equal to each other respectively . 4. A chord , DC , is drawn in a circle and produced to A , so that CA is equal to the radius of the circle . If the diameter AEB ...
... segments , into which these chords are divided , at the given point are equal to each other respectively . 4. A chord , DC , is drawn in a circle and produced to A , so that CA is equal to the radius of the circle . If the diameter AEB ...
Side 71
... segment of a circle are equal to one another . Let BAC and BDC be angles in the same segment of the B Fig . 12 . A D G B Fig . 13 . A D E C circle ABC , cut off by the chord BC , then shall the angle BAC be equal to the angle BDC ...
... segment of a circle are equal to one another . Let BAC and BDC be angles in the same segment of the B Fig . 12 . A D G B Fig . 13 . A D E C circle ABC , cut off by the chord BC , then shall the angle BAC be equal to the angle BDC ...
Side 72
... segments of a circle , cut off by the same chord , are together equal to two right angles . Let BAC and BDC be two angles in the major and minor segments respectively of the circle ABC , cut off by the same chord BC , then shall BAC ...
... segments of a circle , cut off by the same chord , are together equal to two right angles . Let BAC and BDC be two angles in the major and minor segments respectively of the circle ABC , cut off by the same chord BC , then shall BAC ...
Side 73
... segment ABDC greater than a semicircle is less than a right angle . Because the angles in any major and minor segments cut off by the same chord are together equal to two right angles . And because the angle in any major segment has ...
... segment ABDC greater than a semicircle is less than a right angle . Because the angles in any major and minor segments cut off by the same chord are together equal to two right angles . And because the angle in any major segment has ...
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ABC and DEF ABCD AC is equal adjacent angles angle ABC angle BAC antecedent area of AC bisects the angle centre chords circumference coincide common measure containing Corollary 2.-If DEFINITION diameter dicular dihedral angle distance divided equal angles equal in area equal to AB equal to AC exterior angle finite straight line given angle given circle given plane given point given ratio given straight line greater homologous incommensurable inscribed length less Let ABC line joining locus middle point multiple number of sides numerator and denominator opposite sides parallelogram pentagon perpen perpendicular plane AC point F produced Prop PROPOSITION PROPOSITION 14 proved radius ratio be equal rectangle regular polygon respectively equal right angles segments Similarly situated square straight line AB straight line BC subtended tangent triangle ABC triangle DEF
Populære avsnitt
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Side 204 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
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