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" Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf a straight line fall upon two parallel straight lines, it makes the alternate angles equal... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - الصفحة 26
بواسطة Euclides - 1845
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - عدد الصفحات: 504
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together...equal to two right angles. Let the straight line EF inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV —" L are equal ; the...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - عدد الصفحات: 74
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* equal to one another ; and the exterior angle equal to the interior and opposite angle upon the same side ; and lihewise the two interior angles upon the same •tide together equal...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - عدد الصفحات: 262
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines,...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...

The Calcutta University Calendar

University of Calcutta - 1864 - عدد الصفحات: 388
...the first rule of 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...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - عدد الصفحات: 448
...&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...

First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - عدد الصفحات: 336
...straight lines cut one another, the vortical or opposite angles shall be equal. Prop. 29. — Theorem. If a straight line fall upon two parallel straight lines,...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...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - عدد الصفحات: 402
...; 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...

An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - عدد الصفحات: 166
...greater side of every 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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - عدد الصفحات: 528
...&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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - عدد الصفحات: 350
...lines are 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,...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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