Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" SIMILAR triangles are to one another in the duplicate ratio of their homologous sides. "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 167
by Euclides - 1814
Full view - About this book

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...rectilineal figure may be described upon a given straight line, similar to one of six or more sides. Similar triangles are to one another in the duplicate ratio of their homologous sides. Given that ABC and DEF are similar triangles, having the angle B equal to the angle E, and AB to BC...
Full view - About this book

REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860
...has to the fourth ? The sides about the equal angles of equiangular triangles are proportionals. 12. Similar triangles are to one another in the duplicate ratio of their homologous sides. LOGIC. I.—LOWER STANDARD. What ii the use of words ? Explain First and Second Intention. 2. Give...
Full view - About this book

The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...homologous sides are parallel. PROPOSITION XIX. THEOREM. — If triangles (ABC, DEF) are similar, they are to one another in the duplicate ratio of their homologous sides (BC, EF). CONSMHTCTION. Take BG a third proportional to BC, EF (a), so that BC is to EF, as EF f* to...
Full view - About this book

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

Euclides - 1861
...— to Plans, Maps, and Geometrical Drawings of every kind. PROP. 19. — THEOR. (Very important.) Similar triangles are to one another in the duplicate ratio of their homologous sides ; ie, as the squares of their like sides. CON. 11, VI. DEM. Def. 12, V.— 16, V. If four Ms of of...
Full view - About this book

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

War office - 1861 - 12 pages
...less than a semicircle is greater than a right angle. 10 DIRECT COMMISSIONS. VOLUNTAKY PORTION. 1. Similar triangles are to one another in the duplicate ratio of their homologous sides. 2. Describe a rectilineal figure which shall be similar to one given rectilineal figure and equal to...
Full view - About this book

Wisconsin Journal of Education, Volume 7

Education - 1863
...^5-^— 9=42 or the triangle ABC. I should mention 2 to draw ox parallel to BG. Now we know that similar triangles are to one another in the duplicate ratio of their homologous sides . • . BGC : oxC::BGa : ox', or 47.04 : 42::11.2" : 112 the square root of which is 10.583+=ox, or...
Full view - About this book

Papers Read at the Royal Institute of British Architects

Architecture - 1863
...scale of equal parts how a rule of three sum may be solved geometrically. 9. Proposition 19. Theorem. Similar triangles are to one another in the duplicate ratio of their homologous sides. J 0. If the superficial content of a triangle which has a base of 40 feet is 800 feet, what is the...
Full view - About this book

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

Euclides - 1863
...and this has been proved of triangles (VI. 19); therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides. Cor. 2.-—If to AB and FG, two of the homologous sides of the polygon, a third proportional M bo taken...
Full view - About this book

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

Euclides - 1864
...angles proportionals, they are similar to one another. In the same manner a rectilineal figure of six sides may be described upon a given straight line similar to one given, and so on. QE r. PROPOSITION XIX. THEOREM. Similar triangles are to one another in the duplicate ratio of their...
Full view - About this book

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

Euclides - 1865
...proportionals ; wherefore AB3&HG la similar to CDKEF. In the same manner a rectilineal figure of six sides [may be described upon a given straight line similar to one given, and so on. QEF PROP. XIX.— THEOBEM. Similar triangles are to one another in the duplicate ratio of their homologous...
Full view - About this book




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