Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally ; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 54
by Euclides - 1840
Full view - About this book

Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1723 - 442 pages
...are to each other a* -their Bafes; which was to be demonftrated. PROPOSITION II. THEOREM. If it Right Line be drawn parallel to one of the Sides of a "Triangle, it frail cut the Sides of the Triangle * proportionally ; and if the Sides of the Triangle be cut proportionally,...
Full view - About this book

Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 399 pages
...fameBafe, J are between the fame Parallels; therefoie DE is parallel to B C. Wherefore, if c Right Lint be drawn parallel to one of the Sides of a Triangle, it jhall cut the Si Jo of the Triangle proportionally ; and if the Sines cf the Triangle be cut proportionally,...
Full view - About this book

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 419 pages
...semicircle, or that which stands upon half the circumference, is a right angle, or 90°. 8. If a right line be drawn parallel to one of the sides of a triangle, it will cut the other sides proportionally. It may also be remarked, that some of the simplest cases of heights and distances may...
Full view - About this book

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

Robert Simson - Trigonometry - 1806 - 518 pages
...another: then, if the same construction be made as in the proposition, the demonstration will be the same. PROP. II. THEOR. IF a straight line be drawn parallel to one of the See N. sides of a triangle, it shall cut the other sides, or those produced, proportionally: and if...
Full view - About this book

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

John Mason Good - 1813
...I. Tin or. Triangles and parallelograms of the same altitude are one to another as their, basesProp. II. Theor. If a straight line be drawn parallel to one of the sides of a triangle, it shall cat the other sides, or those produced, proportionally: and if the sides, or the sides produced,...
Full view - About this book

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

John Playfair - 1819 - 317 pages
...another. Then, i aame construction be made as in the proposition, the demonstratiofi will be the same. PROP. II. THEOR. If a straight line be drawn parallel to one of the sides of a triangle, it will tut the otlter sides, or the other sides produced, proportionally : And if the sides, or the sides...
Full view - About this book

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...drawn through P parallel to AB or DC, it may be shewn that APE, DPC together are half of ABCD. (8.) If a straight line be drawn parallel to one of the sides of a parallelogram, and one extremity of this line be joined to the opposite one of the parallel side, by...
Full view - About this book

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...parallelogram to the extremities of two opposite sides, are together half of the parallelogram. 8. If a straight line be drawn parallel to one of the sides of a parallelogram, and one extremity of this line be joined to the opposite one of the parallel side, by...
Full view - About this book

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...construction be made as in the proposition, the demonstration will be the same. PROP. II. THEOR. x IF a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally; and if the sides, or the sides produced,...
Full view - About this book

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 pages
...lines be proportional, their squares shall also be proportional. PROPOSITION II. THEOREM. If a, right line be drawn parallel to one of the sides of a triangle, it shall cut the sides of the triangle proportionally ; and if the sides of a triangle be cut proportionally,...
Full view - About this book




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