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書籍 O'P + O'Q = PQ = r ; E + 8 1 ETS" E-8 1 a result already proved by a different method... の書籍検索結果 5 件中 1 - 5 件目
" O'P + O'Q = PQ = r ; E + 8 1 ETS" E-8 1 a result already proved by a different method (see Prop. 11, Section I.). Prop. 13.—If a variable chord of a circle subtend a right angle at a fixed point, the locus of its pole is a circle. chord •which subtends... "
A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 110 ページ
John Casey 著 - 1882 - 158 ページ
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Dublin examination papers

Dublin city, univ - 1883
...rectangle under 616' and the diameter of PDG is equal to the rectangle PA . 1'B. MR. BCRKSIUE. 6. If a variable chord of a circle subtend a right angle at a given point, the locus of its pole is a circle ? 7. If a variable circle touch two fixed circles, its...

A Sequel to the First Six Books of the Elements of Euclid: Containing an ...

John Casey - 1886 - 224 ページ
...5Ts E-8 1 a result already proved by a different method (see Prop. 11, Section I.). Prop. 13. — If a variable chord of a circle subtend a .right angle...of AB : it is required to find the locus of E. Let 0 be the centre of X. Join OE, intersecting AB in I ; then, denoting the radius of X by r, we have...

A SEQUEL TO THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID

JOHN CASEY - 1888
...different method (see Prop. 11, Section I.). Prop. 13. — If a variable chord of a circle sultend a right angle at a fixed point, the locus of its pole is a circle, Y chord which subtends a right Z at a fixed point P ; AE, BE tangents at A and B, then E is the pole...

Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 ページ
...co-axal system of circles, goes through a fixed point. 3. If a variable chord of a circle subtends a right angle at a fixed point, the Locus of its pole is a circle. NOTE — The pole is the inverse of the mid pt. of the chd. 4. If at the comers of a cyclic quadrilateral...

An Elementary Treatise on Modern Pure Geometry

Robert Lachlan - 1893 - 288 ページ
...subtends a right angle at 0, is a circle coaxal with the given circle and the point-circle 0. Ex. 11. If a chord of a circle subtend a right angle at a fixed point 0, show that the locus of the pole of the chord will be a circle coaxal with the given circle and the...




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