Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE, be equiangular triangles, having... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 56
by Euclides - 1840
Full view - About this book

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION IV. THEOREM. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, -ire the antecedents or consequents of the ratios. Let ABC, DCEhe equiangular triangles, having the...
Full view - About this book

Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...ex aequali." Show that the sides about the equal angles of equiangular triangles are proportionals, and those which are opposite to the equal angles are homologous sides. 11. Define the cotangent of an angle, and trace its sign and extreme values between 0 and 180°. T>...
Full view - About this book

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...— THBOR. {Important.) The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, ie, are the antecedents or the consequents of the ratios. OB, "Equiangular triangles have their sides...
Full view - About this book

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...triangle. 2. Prove that the sides about the equal angles of equiangular triangles are proportionals, and those which are opposite to the equal angles are homologous sides. What is the meaning of the term homologous in this proposition 1 3. If a straight line be at right...
Full view - About this book

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...angles (ABC and DCE, ACB and DEC, BAC and CDE) of equiangular triangbs (ABC and DCE) are proportionals; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let the triangle DCE be placed so that its side CE may be contiguous to BC, and in tha same straight...
Full view - About this book

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...PROPOSITION IV. THEOREM. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB...
Full view - About this book

The Calcutta University Calendar

University of Calcutta - 1864 - 388 pages
...their common tangent. 3. The sides about the equal angles of equiangular triangles are proportionals, and those which are opposite to the equal angles are homologous sides. Cut a given straight line in extreme and mean ratio. 4. Two straight lines which are each of them parallel...
Full view - About this book

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...PROP. IV.— THEOREM. The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios. (References— Prop. I. 17, 22, 28, 32, 34 ; v. 7, 16, 22 ; VI. 2.) Let ABC, DCE be equiangular triangles,...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...The sides about the equal angles of triangles which are equiangular to one another are proportionals; and those which are opposite to the equal angles are...homologous sides, that is, are the antecedents or the consequents of the ratios. Let the triangle ABCbe equiangular to the triangle DCE, having the angle...
Full view - About this book

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...equal angles of triangles which are equiangular to one another are proportionals; and those tehich are opposite to the equal angles are homologous sides, that is, are the antecedents or the consequents of the ratios. Let the triangle ABCbQ equiangular to the triangle DCE, having the angle...
Full view - About this book




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