Plane and Solid GeometryGinn, 1903 - 473 sider |
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Resultat 1-5 av 82
Side 75
... diameter is a straight line through the centre , with its ends in the circumference . By the definition of a circle , all its radii are equal . All its diameters are equal , since a diameter is equal to two radii . 218. Postulate . A ...
... diameter is a straight line through the centre , with its ends in the circumference . By the definition of a circle , all its radii are equal . All its diameters are equal , since a diameter is equal to two radii . 218. Postulate . A ...
Side 81
... the greater arc ) . Q. E. D. 244. COR . In the same circle or in equal circles , the greater of two unequal chords subtends the less major arc . PROPOSITION V. THEOREM . 245. A diameter perpendicular to a ARCS , CHORDS , AND TANGENTS . 81.
... the greater arc ) . Q. E. D. 244. COR . In the same circle or in equal circles , the greater of two unequal chords subtends the less major arc . PROPOSITION V. THEOREM . 245. A diameter perpendicular to a ARCS , CHORDS , AND TANGENTS . 81.
Side 82
... diameter bisects the circumference and the circle . 247. COR . 2. A diameter which bisects a chord is perpen- dicular to it . 248. COR . 3. The perpendicular bisector of a chord passes through the centre of the circle , and bisects the ...
... diameter bisects the circumference and the circle . 247. COR . 2. A diameter which bisects a chord is perpen- dicular to it . 248. COR . 3. The perpendicular bisector of a chord passes through the centre of the circle , and bisects the ...
Side 85
... § 245 .. AB > AG . Ax . 6 But CD = AG . .. AB > CD . Const . Q. E.D. 252. COR . A diameter of a circle is greater than any other chord . PROPOSITION IX . THEOREM . 253. A straight line perpendicular ARCS , CHORDS , AND TANGENTS . 85.
... § 245 .. AB > AG . Ax . 6 But CD = AG . .. AB > CD . Const . Q. E.D. 252. COR . A diameter of a circle is greater than any other chord . PROPOSITION IX . THEOREM . 253. A straight line perpendicular ARCS , CHORDS , AND TANGENTS . 85.
Side 87
... diameter of the circle . ..CF = § 255 § 107 § 245 CASE 2. Let AB and CD ( Fig . 2 ) be parallel secants . Proof . Suppose EF to CD and tangent to the circle at M. Case 1 Ax . 3 CASE 3. Let AB and CD ( Fig . 3 ) be parallel tangents at E ...
... diameter of the circle . ..CF = § 255 § 107 § 245 CASE 2. Let AB and CD ( Fig . 2 ) be parallel secants . Proof . Suppose EF to CD and tangent to the circle at M. Case 1 Ax . 3 CASE 3. Let AB and CD ( Fig . 3 ) be parallel tangents at E ...
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AB² ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices