 | Charles P. Florent Baillairgé - 1873 - 660 páginas
...perpendiculars and parallels may be easily deduced as corollaries from the definitions. Proposition 30 that straight lines which are parallel to the same straight line are parallel to one another need be nothing more than an axiom or a corollary thereto, for this very parallelism is... | |
 | Euclides - 1874 - 342 páginas
...eyual to two right angles (Ax. 1). Wherefore, if a straight line, &c. QED PROPOSITION 30. — 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. Then shaU AB be also parallel to CD.... | |
 | Francis Cuthbertson - 1874 - 400 páginas
...in H. Then / s ABC, DEFarz each = i DHG, and are therefore equal to one another. PROPOSITION XXII. Straight lines which are parallel to the same straight line are parallel to one another. Ae c Let the straight lines A, B be each of them || to C, Then shall A, B be | | to one... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...and FGD are together equal (Ax. 1.) to two right angles. QE D, PROP. XXI.— THEOREM. (Euc. I. 30.) Straight lines which are parallel to the same straight line are parallel to one another. Let the straight lines X and Y be each of them parallel to the straight line Z, then shall... | |
 | Euclides - 1874 - 120 páginas
...parattelagram will cut off equal parts from its sides. PROPOSITION 30. THEOREM. Straight lines ibhich are parallel to the same straight line are parallel to each other. . Let AB, CD be each of them parallel to EF: 1 • AB shall be parallel to CD. 2. Let the straight... | |
 | Henry Major - 1876 - 784 páginas
...Composition. — Write from memory the substance of the passage read to yon by the Inspector. Euclid. — 1. Straight lines which are parallel to the same straight line are parallel to each other. 2. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
 | Richard Wormell - 1876 - 268 páginas
...greater base, shall be greater than the angle contained by the sides equal to them, of the other. 4s 30. Straight lines which are parallel to the same straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities... | |
 | Francis Cuthbertson (geometer.) - 1876 - 102 páginas
...straight lines which cut one another cannot be parallel to the same straight line. . PROPOSITION XV. Straight lines which are parallel to the same straight line are parallel to one another. AB Let the straight lines A and B be each of them parallel to C. Then shall A and B be... | |
 | Āryabhaṭa - 1878 - 100 páginas
...angles are equal, therefore AB and CD are parallel (P. 7). Wherefore if a straight line &c. QED Cor. Straight lines which are parallel to the same straight line are parallel to each other. PROP. ix. PROBLEIT. (E. 1. 31.) To draio through a given point a straight line parallel to a given... | |
 | Thomas Hunter - 1878 - 142 páginas
...of any acute and obtuse angle will be equal to two right angles. PROPOSITION XXVIII.—THEOREM. Two straight lines which are parallel to the same straight line are parallel to each other. r to the same straight line EF; G Let AB and CD be parallel A. -f^ B then will they be parallel to... | |
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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. 
