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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Seite 26
von Robert Simson - 1827 - 513 Seiten
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...(i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes the alternate...another ; and the exterior angle equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together...
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The Calcutta University Calendar

University of Calcutta - 1864 - 388 Seiten
...Lord Curnwallis. ARITHMETIC AND ALGEBRA. Examiner.—REV. KS MACDONALD, MA 1. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another. Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...&c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the...
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First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 336 Seiten
...another, the vortical or opposite angles shall be equal. Prop. 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate...the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...; the two straight lines shall be parallel to one another. P Prop. 29. If a straight line fall npon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle npon the same side; and likewise the two interior angles upon the same side together equal to...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 166 Seiten
...triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...&c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line; or make the interior angles upon the same side together equal to two right angles ; the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 Seiten
...perpendicular to a third line, they will be parallel to each other. PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...the same side ; and likewise the two interior angles fipo* the same side together equal to two right angles. Let the straight line EF fall upon the parallel...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1866 - 328 Seiten
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the tivo interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD are equal; the exterior angle...
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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 Seiten
...the line and of the square on the line between the points of section. 6. If a straight line fall on two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right...
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