Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I. "
A Text-book of Geometry - Page 152
by George Albert Wentworth - 1888 - 386 pages
Full view - About this book

An Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 132 pages
...BD are similar triangles AC :AB = AB:AD And since ABC and BCD are similar AC: CB=CB:CD that is, if in a right triangle a perpendicular is drawn from, the vertex of the right angle to the hypothenuse, either side about the right angle is a mean proportional between the whole hypothenuse...
Full view - About this book

New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...is homologous with AB, DF with AC, and EF with BC. THEOREM XVII. 210i In a right-angled triangle, if a perpendicular is drawn from the vertex of the right angle to the hypothenuse, the triangle will be divided into two triangles similar to the given triangle and to each...
Full view - About this book

New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...homologous with AB, DF with AC, and EF with C. THEOREM XVII. 210. In a right-angled triangle, if a perpendicular is drawn from the vertex of the right angle to the hypothenuse, the triangle will be divided into two triangles similar to the given triangle and to each...
Full view - About this book

Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...triangles are equiangular to one another, (I. Ax. 1.) and the three triangles similar. . QED Cor. — Hence the perpendicular is a mean proportional between the segments of the hypotenuse, and each side a mean proportional between the hypotenuse and its segment adjacent to each side. For...
Full view - About this book

Catalogue - Harvard University

Harvard University - 1876 - 554 pages
...for its measure half the concave arc intercepted between its sides, minus half the convex arc. 2. If, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuse, what relations exist between the three triangles thus formed * Prove. How is this proposition...
Full view - About this book

Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...triangle is a mean proportional between the hypotenuse and the adjacent segment of the hypotenuse ; and the perpendicular is a mean proportional between the segments of the hypotenuse. THEOR. 8. If from any angle of a triangle a straight line is drawn perpendicular to the base, the diameter...
Full view - About this book

Harvard Examination Papers

Robert Fowler Leighton - 1877 - 372 pages
...for its measure half the concave arc intercepted between its sides, minus half the convex arc. 2. If, in a right triangle, a perpendicular is drawn from the vertex of the right angle to the hypothenuse, what relations exist between the three triangles thus formed ? Prove. How is this proposition...
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...triangle into two right triangles which, are similar to the whole triangle, and also to each other. II. The perpendicular is a mean proportional between the segments of the hypotenuse. III. Each side of the right triangle is a mean proportional between the hypotenuse and its adjacent...
Full view - About this book

Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...similar A are proportional). QED PROPOSITION X. THEOREM. 289. If in a right triangle a perpendicular be drawn from, the vertex of the right angle to the hypotenuse : I. It divides the triangle into two right triangles which are similar to the whole triangle, and also...
Full view - About this book

A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 332 pages
...'54\ABC~ABCD; therefore AB : BC = BC: BD. AA CD ~ ABCD ; therefore AD : CD. = CD : BD. Theorems. — If in a right triangle a perpendicular is drawn from...vertex of the right angle to the hypotenuse : — I. Either leg is a mean proportional beewecn the hypotenuse and the adjacent segment. II. The perpendicular...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF