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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 31
por John Playfair - 1847 - 317 páginas
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...be a right angle ; since they are together equal to two right angles. Proposition 28. Theorem. — Straight lines which are parallel to the same straight line are parallel to each other. Draw GHK cutting all three. Then, because AB, EF are parallel, the alternate angles AGH,...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 páginas
...(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 - 594 páginas
...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 - 238 páginas
...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 - 426 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 - 236 páginas
...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 - 418 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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The Practical Teacher, Volumen1,Tema 1

1882 - 676 páginas
...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 - 278 páginas
...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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