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" 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 two straight... "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 104
των T S. Taylor - 1880
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The Cambridge Examiner, Τόμος 4

1884 - 538 σελίδες
...for the case in which the given point coincides with one of the extremities of the given line. L 3. If a straight line falling on two other straight lines make the alternate angles equal, these two lines shall be parallel. ! 4. Divide a given straight line into two...

The Cambridge Examiner, Τόμος 2

1882 - 498 σελίδες
...Nos. 5 — 12 inclusive. Higher Local work Nos. 9 — 16 inclusive. 1. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite angle upon the same side of the line, or make the interior angles upon the same side together equal to two...

The Competitor, Τόμοι 1-2

1882 - 486 σελίδες
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the 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 angles. 4. Parallelograms...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 σελίδες
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the 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 angles. 3. In any right-angled...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the 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-angles. Through two given...

The Practical Teacher, Τόμος 1,Τεύχος 1

1882 - 676 σελίδες
...along this straight line, the point A shall fall upon the point D. 2. 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...

The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 σελίδες
...then the angle opposite to the greater side shall be greater than the angle opposite to the other. 4. If a straight line falling on two other straight lines make the alternate angles equal, these straight lines shall be parallel. A diameter of each of two concentric...

Class lessons on Euclid

Marianne Nops - 1882 - 278 σελίδες
...DF, and L BAC = L EOF (I. 4). Wherefore if two triangles, &c. — QED PROPOSITION XXVII., THEOREM 1S. If a straight line falling on two other straight lines make the alternate angles equal to one another, the two straight lines shall be parallel to one another. Let...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 σελίδες
...shall be equal to three given straight lines. Is any condition necessary to make this possible ? 3. If a straight line falling on two other straight lines, make the alternate angles equal to each other, the two straight lines shall be parallel to one another. 4. If...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 σελίδες
...rectilineal angle. The three lines which bisect the angles of an equilateral triangle meet in a point. 3. If a straight line, falling on two other straight lines, make the alternate angles equal to one another, these two straight lines will bo parallel. A line, drawn through...




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