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

Manual of Euclid: Books IV, V, VI.

Euclid - 1868 - 138 pages
...ij firi т TOfi iriiwy/ivq ivoiia trapa TijV Xotirijv IOTUI TOV Tpiyivov irXivpv. If a straight line be drawn parallel to one of the sides of a triangle, it cuts t he other two sides proportionally ; and if the two sides he cut proportionally, the straight...
Full view - About this book

Elementary Geometry, Volume 2

James Maurice Wilson - Geometry - 1868 - 150 pages
...that PQ : LM :: QR : MN, (by TH. 3. CORS. 1, 2, 3). COR. 2. If a line be drawn parallel to one side of a triangle, it will cut the other sides or the other sides produced proportionally. COR. 3. The converse of this corollary is true. That is if a line cuts two sides of a triangle, both...
Full view - About this book

The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 285 pages
...between the same parallels, therefore D is equal to E, AC therefore - is equal to =-. BL) PROPOSITION 5. If a straight line be drawn parallel to one of the sides of a triangle it shall cut the other two sides or those sides produced proportionally; and if two of the sides, or the...
Full view - About this book

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...into which the parallelogram is then divided, must be equal, two and two. PROPOSITION II. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it must cut the other sides, or those sides produced, proportionally. Let DE be drawn II to BC, a side...
Full view - About this book

Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...rect. (/, k); (v. 12) .-. A : H as c : k. (v.3> BOOK VI. COMPARISON OF STRAIGHT LINES. PROPOSITION I. If a straight line be drawn parallel to one of the sides of a triangle it shall cut the other .sides, or these produced, proportionally. D Let DE be drawn || to BC, one of the...
Full view - About this book

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 2.— Theorem. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally ; and conversely, if the sides, or the...
Full view - About this book

Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...of the square inscribed in any circle is half that of the square described about the same circle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally. 7. Equal parallelograms, which have one...
Full view - About this book

The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...straight lines. III. Explain the terms " homologous sides," " duplicate ratio," and "ex equali." IV. (a) If a straight line be drawn parallel to one of the sides of a triangle, it shall Rut the other sides proportionally, (b) ABCD is a parallelogram, a point E is taken in BD the...
Full view - About this book

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 pages
...into which the parallelogram is then divided, must be equal, two and two. PROPOSITION II. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, il must cut the other side*, or those sides produced, proportionally. Let DE be drawn || to BC, a side...
Full view - About this book

First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 pages
...648=2-81157501, log. 864=2'93651374, find log. 108. GEOMETRY, TRIGONOMETRY, CONICS. Afternoon Paper, 1. If a straight line be drawn parallel to one of the sides of a triangle it shall cut the other sides, or these produced, proportionally ; and, conversely, if the sides, or the...
Full view - About this book




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