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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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...but L EGB + Z. BGH =s 2 rt. = 2rt. Wherefore, if a straight line, &c. PROP. XXIX. THEOR. 30. 1 Ea. Straight lines which are parallel to the same straight line, are parallel to each other. Let AB, CD, be each II EF; then shall AB || CD. E y -F A -;/ 11 c—yp D Let str. line...
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First Lines of Natural Philosophy, Divested of Mathematical Formulae: Being ...

Reynell Coates - 1846 - 402 páginas
...from each other throughout their whole length, — they are said to be parallel to each other, and all straight lines which are parallel to the same straight line are parallel to each other. 48. It is evident that a straight line may be parallel to a plane. Thus the lines running...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...not || ; .'. they will meet, if produced, towards B and D. — QED PROP. XXX. THEOR. GEN. ENUN. — Straight lines, which are parallel to the same straight line, are parallel to one another. PART. ENUN. — Let AB, CD be both || to EF ; then AB is || to CD. / CONST. — Let the st. line A...
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Report of the Committee of Council on Education (England and Wales ..., Tema 2

Great Britain. Council on Education - 1848
...GEOMETRY, TRIGONOMETRY, AND MENSURATION. (Que Question only to be answered in each Section.) Section 1. 1. Straight lines which are parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf the one equal to two sides of the other, each to each, but the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...the two interior angles upon the same side together equal to two right angles. PROP. XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 páginas
...angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight line, &c. QED PROP. XXX. THEOR. Straight lines which are parallel to the same straight line parallel to one another. Let AB, CD be each of them parallel to EF; AB is also parallel to CD. Let...
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University of Durham

University of Durham - 1851
...from those by which he convinced the Jews ? IX. EUCLID. 1 . To bisect a given finite straight line. 2. Straight lines which are parallel to the same straight line are parallel to each other. 3. Equal triangles upon the same base and upon the same side of it are between the same...
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Papers for the schoolmaster, Volumen3

1867
...greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht lines, which are parallel to the same straight line, are parallel to each other. 6. Describe a square upon a given straight line. What corollary follows from this problem...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...right angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight, &c. QED PROP. XXX. THEOR. 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 is also parallel to CD. Let the straight...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...BGH, GHD are equal (1 Ax.) to two right angles. Wherefore, if a straight line, etc. QE o. PROPOSITION XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to each oiher. Let AB, CD be each of them parallel to EF ; AB is also parallel to CD. Let the straight...
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