Books Books And because the angle ABC is equal to the angle BCD, and the angle CBD to the angle ACB... The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 30
by Euclid - 1835 - 513 pages ## First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...enunciations of Euc. I. 26 and I. 29; and Axiom 2, and the definition of a parallelogram. General Enunciation. The opposite sides and angles of a parallelogram are equal to one another. Particular Enunciation. Given. — The parallelogram AB CD. Required. — To prove that (a) AB is equal... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...And it was shewn to be equal to it. Wherefore, the straight lines &c. QED PROPOSITION 3i. THEOREM. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects tJie parallelogram, that is, divides it into two equal parts. Note. A parallelogram... ## Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...bisecting AB and AC in D and F respectively is parallel to the base BC. PROP. XXXIV. THEOREM. Th/>, opposite sides and angles of a parallelogram are equal to one another, and tlie diameter bisects the parallelogram, that is, divides it into two equal parts. Let ABDC be... ## The preliminary army examination made easy, a guide to self-preparation

John Gibson - 1881 - 64 pages
...be parallel to the base, prove that the triangle is isosceles. TEST PAPER E. Propositions 33-40. 1. The opposite sides and angles of a parallelogram are equal to one another. 2. Parallelograms on the same base and between the same parallels are equal to one another. 3. Triangles... ## Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...&c. :; HO LESSON XIX.— RECTILINEAL FIGURES INSCRIBED IN AND DESCRIBED ABOUT OTHERS— Continued. " The opposite sides (and angles) of a parallelogram are equal to one another." — Euclid i. 34. Problem 118. — Within any quadrilateral figure V WX Y to inscribe a parallelogram,... ## Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...straight lines FH, FK are less than the two sides GH, GK but contain a greater angle. 3. Prove that the opposite sides and angles of a parallelogram are equal to one another, and that the diameter bisects the parallelogram. 4. Prove that parallelograms upon the same base and... ## The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...line drawn through the point of bisection to meet the two lines will be bisected in that point. 6. The opposite sides and angles of a parallelogram are equal to one another and the diagonal bisects it. If both diagonals be drawn they bisect each other. 8. If a straight line... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...equal to CD, and BC common to the two triangles ABC, DCB ; the two sides AB, BC, are equal c — 1. to the two DC, CB, each to each. And the angle ABC was proved to he equal to the angle BCD. Therefore the base AC is equal (I. 4) to the base BD, and... ## Practical geometry for art students

John Carroll (art master.) - Geometry - 1881 - 100 pages
...Fig.lU. wzv LESSON XIX.— RECTILINEAL FIGURES INSCRIBED IN AND DESCRIBED ABOUT OTHERS— Continued. " The opposite sides (and angles) of a parallelogram are equal to one ,_ another." — Euclid i. 34. Problem 118. — Within any quadii'lateral figure VWXY to inscribe a... 