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" Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 29
por John Playfair - 1855 - 318 páginas
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...MKH coincides with the triangle LHK, and the angle MKH coincides with the angle LHK (Ax 8). QED 3. Straight lines, which are parallel to the same straight line, are parallel to each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...(Euclid I. 30). Repeat. — The enunciations of Euc. I. 27, I. 29, and Axiom i. General Enunciation. Straight lines which are parallel to the same straight line are parallel to one another. Particular Enunciation. Given.— A _ B (a) The line AB parallel to the line E F. E - * (V) And the...
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Papers for teachers

1880
...honesty that he provided a home for him, paid for his education, and started him in life." Euclid. — i. Straight lines which are parallel to the same straight line are parallel to each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. Straight lines, which are parallel to the same straight line, are parallel to each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...equal to two right angles. [Axiom 1. Wherefore, if a straight line &c. QEB PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...perpendicular to one of two parallel straight linee, it is also perpendicular to the other. PROP XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD, be each of them parallel to EF. Ther AB is also parallel...
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Elements of Geometry

Simon Newcomb - 1881 - 399 páginas
...parallelogram. nals of a quadrilateral are two lines joining its opposite angles. THEOREM XXV. 120. Straight lines which are parallel to the same straight line are parallel to each other. Hypothesis. The line b par- 14 allel to the line a. The line c I also parallel to the line...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. Straight lines, which are parallel to the same straight line, are parallel to each obher. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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The Practical Teacher, Volumen1,Tema 1

1882
...abbreviations for worjs may be us-ed, but symbols of operation, such as-, +, x, are not admissible.] 1. Straight lines which are .parallel to the same straight line are parallel to each other. 2. Describe a parallelogram equal to a given square, and having an angle equal to half...
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Class lessons on Euclid

Marianne Nops - 1882
...s GHD, BGH = two rfc. Z s. Wherefore if a straight line, &c. — QED PROPOSITION XXX., THEOREM 21. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them || to EF ; AB shall be || to CD. Draw the straight line LM cutting...
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