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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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...line fall on two parallel straight lines, it makes the alternate angles equal to one anotlier, 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. Let the straight...

Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 σελίδες
...3. The greater side of a triangle is opposite the greater angle. 4. 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...

Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 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. Show that the...

The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 σελίδες
...XXVUL-XLI. (inclusive). 27.When are straight lines said to be parallel to one another ? Prove that if a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines must be parallel Same proposition. What...

Papers for teachers

1880 - 594 σελίδες
...ridicule, he strolled quietly home, a triumphant Tory. Euclid. — i. What is meant by alternate angles ? If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel. 2. How many sides...

Elementary notions of logic, designed as prolegomena to the study of geometry

Alfred Milnes - 1880 - 140 σελίδες
...contradictories to an absurdity. One such proposition we will examine from a logical point of view : — " 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." —...

The student's guide to the University of Durham, with information respecting ...

1880 - 160 σελίδες
...other, the base of that which has the greater angle shall be greater than the base of the other. 5. 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. 6....

The Cambridge Examiner, Τόμος 3

1883 - 536 σελίδες
...given lines must be greater than the length of the third line ? 6. 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 on the same side together equal to two...

Guide to preliminary army examination

John Gibson - 1881 - 302 σελίδες
...oil two parallel straight lines BC, DE, it makes the alternate angles equal to one another, and tho 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...

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 σελίδες
...may be used, but not symbols of operations, such as -, +, x.] 1. What is meant by alternate angles ? If a straight line falling on two other straight lines make the alternate angles equal to each other, these two straight lines shall be parallel. 2. How many sides...




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