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 ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...points of meeting, nro together equal to four right angles. PRO?. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the tame parts, are also themselves equal and parallel. Let the straight lines AC, BD join the two equal... ## Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 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... ## The Competitor, Volumes 3-4

1883 - 248 pages
...given sum ; make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about the diameter of... ## The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...proposition of Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described... ## Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...by them equal to a given angle. LECTURE XIY. (PROPOSITIONS 33-34). 1. Prove that the straight lines which join the extremities of two equal and parallel straight lines towards opposite parts bisect each other. 2. The sum of the perpendiculars from an interior point in any parallelogram... ## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...triangle and the angles at the base, to construct the triangle. PROP. 33. THEOR. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. Given AB = and || CD, and let them be joined towards the same parts. To prove AC = and || BD. JoinBC.... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...with four right angles. B V PROPOSITION 83. THEOREM. The straight lines which join the extremitie* of two equal and parallel straight lines towards the...parts, are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight... ## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...angles, are equal to twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD ; AC, BD, are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,... ## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...positions of the lines in a similar manner. 80. PROPOSITION XXXIII. — THEOREM. The straight lines which join the extremities of two equal and parallel...joined towards the same parts by the straight lines AC, SS. Then AC, BD shall be equal and parallel. Join BC. Then, because AB is parallel to CD, and BC meets... 