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 書籍 JL from the right angle on the hypotenuse of a rightangled A is a harmonic mean between... の書籍検索結果 6 件中 1 - 6 件目
JL from the right angle on the hypotenuse of a rightangled A is a harmonic mean between the segments of the hypotenuse made by the point of contact of the inscribed circle. 10. If a line be cut harmonically by two Os, the locus of the foot of the _L,...
A Sequel to the First Six Books of the Elements of Euclid: Containing an ... - 149 ページ
John Casey 著 - 1882 - 158 ページ

Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1859
...in harmonic proportion are in arithmetic proportion. 5. The perpendicular of a right-angled triangle is a harmonic mean between the segments of the hypotenuse...made by the point of contact of the inscribed circle. 6. Given two points A and B, find a pair of harmonic conjugates 0 and O' to them, such that there shall...

Principles of Modern Geometry, with Numerous Applications to Plane and ...

John Mulcahy - 1862 - 234 ページ
...the question is solved. 3°. The perpendicular CP on the hypotenuse of a rightangled triangle is an harmonic mean between the segments of the hypotenuse...made by the point of contact of the inscribed circle. Let O be the centre of the inscribed circle, and OT, OV, OX, perpendiculars from it on the sides. Complete...

Manual of Euclid, 書籍 4〜6

Euclid - 1868
...in harmonic proportion are in arithmetic proportion. 5. The perpendicular of a right-angled triangle is a harmonic mean between the segments of the hypotenuse...made by the point of contact of the inscribed circle. 6. Given two points A and B, find a pair of harmonic conjugates О and O' to them, such that there...

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

John Casey - 1886 - 224 ページ
...centre of any circle touching the three sides. (3). Of the intersection of bisectors of sides. 9. The ± from the right angle on the hypotenuse of a rightangled...harmonically by two Os, the locus of the foot of the 1 , let fall on it from either centre, is a 0, and it cuts any two positions of itself homographically...

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

JOHN CASEY - 1888
...centre of any circle touching the three sides, (3). Of the intersection of bisectors of sides. 9. The JL from the right angle on the hypotenuse of a rightangled...itself homographically (see Prop. 3, Cor. 2, Section VII.)11. Through a given point to draw a line, cutting the sides of a given A in three points, such...

The American Mathematical Monthly: Devoted to the Interests of ..., 第 9〜10 巻

Benjamin Franklin Finkel - 1902
...Pine Bluff, Ark. The perpendicular from the right angle on the hypotenuse of a right-angled-triangle is a harmonic mean between the segments of the hypotenuse...made by the point of contact of the inscribed circle. [From Casey's Sequel to Euclid.] Solution by LOI C. WALKER, AM, Graduate Student, Leland Stanford Jr....