Books Books THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845 ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...bisection and terminated by the parallel line are also bisected in that point. 2. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. Any straight line drawn through the intersection of the diagonals of a parallelogram will divide the... ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC,... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal ami parallel straight lines, towards the same parts, are also themselves equal and parallel. O Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD. Then... ## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...exterior angles of any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined towards the same parts by the straight lines... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them be joined towards the same parts by the... ## Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...200,000. SENIOR PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and... ## Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...whole and each of the parts, are together equal to the square on the whole line. 4. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the... ## Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and... ## First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...The enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal... 