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" In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. "
The Contents of the Fifth and Sixth Books of Euclid - Page xvi
by Euclid, Micaiah John Muller Hill - 1900 - 143 pages
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...hypotenuse and its adjacent segment (330). Thus we have: BC : AB = AB : BD and BC : AC = AC : CD; Third, the perpendicular is a mean proportional between the segments of the hypotenuse : BD : AD = AD : CD. 706. When a perpendicular is drawn from any point A in a circumference of a circle...
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Manual of the Free High Schools of Wisconsin

Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...the hypotenuse; 1. The triangles thus formed are similar to each other and to the whole triangle. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Each side is a mean proportional between the hypotenuse and the segment adjacent to that side....
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 208 pages
...a right triangle, I. The triangles formed are similar to the whole triangle, and to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Either leg is a mean pyoftirtional between the whole hypotenuse and the adjacent segment^ Draw...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...of a right triangle, I. The triangles formed are similar to the whole Mangle, and to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Either leg is a mean proportional between the whole hypotenuse and the adjacent segment. Draw...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...hypotenuse: I. The two triangles thus formed are similar to each other and to the given triangle. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Each side of the right-angled triangle is a mean proportional between the hypotenuse and the segment...
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Secondary-school Mathematics, Volume 2

Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...a right triangle, I. The triangles formed are similar to the whole triangle, and to each other II. The perpendicular is a mean proportional between the segments of the hypotenuse III. Either leg is a mean proportional between the whole hypotenuse and the adjacent segment of the...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the perpendicular is a mean proportional between the segments of the hypotenuse. Prove that if the perpendicular from the vertex of a triangle upon the opposite side divides it into...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...hypotenuse : I. The triangles formed are similar to the given triangle and similar to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. Given : Rt. A ABC ; CP±toAB from C. To Prove : I. A APC, ABC, and BPC similar. II. AP : CP = CP :...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...other; (6) Either side is a mean proportional between the hypotenuse and the adjacent segment; (c) The perpendicular is a mean proportional between the segments of the hypotenuse. A Problem V. To construct a mean proportional between two given lines. Given the lines m and n. To...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...other; (b) Either side is a mean proportional between the hypotenuse and the adjacent segment; (c) The perpendicular is a mean proportional between the segments of the hypotenuse. A Analyze, and prove. Problem V. To construct a mean proportional between two given lines. Given the...
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