Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 20
by Pierce Morton - 1830 - 272 pages
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...containing that angle, by twice the rect. angle contained by either of these sides and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one...
Full view - About this book

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and...
Full view - About this book

Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - Bridges - 1812 - 514 pages
...only half of the absolute force, so it is evident that the force will be more than one-half when ADB is greater than a right angle, and less when it is less ; and also, that the longer AD is, the less the force is, it being always inversely as the square of...
Full view - About this book

Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and...
Full view - About this book

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...angle, by twice the rectangle contained by either of these sides, and the straight line intercopted between the perpendicular let fall upon it from the opposite angle, and the acute angle. .' Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one...
Full view - About this book

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...isosceles triangle is the double of the rectangle contained by either side, and by the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the extremity of the base. (XIV.) If from any point, in the circumference of the greater of two given concentric...
Full view - About this book

A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 486 pages
...isosceles triangle is the double of the rectangle contained by either side, and by the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the extremity of the base. If the vertical angle of the isosceles A be a right angle, the proof of the...
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...square of the side subtending any of the acute angles, i$ less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle,...
Full view - About this book

Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...angle, by twice the rectangle contained by eithei of these sides, and the straight line ”ntercepuJ between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a civen rectilineal figure....
Full view - About this book

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line inteicepted between the perpendicular let fall upon it from the opposite angle, and...
Full view - About this book




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