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" The angles which one straight line makes with another upon one side of i't, are either two right angles, or are together eqval to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 19
των Euclid, John Playfair - 1853 - 317 σελίδες
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...PROPOSITION XIII. THEOREM. The angles which one straight line makes with another on one side of it, are either two right angles, or are together equal to two right angles. Let the st. line AB make with CD, on one side of it, the L s CBA, ABD. Then these are either two rt....

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 σελίδες
...triangle is isosceles. 13. The angles which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. Same proposition. If the angles are CBA, ABD, and BE bisects ABC, and BF bisects ABD, then FEE is a...

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

Isaac Todhunter - 1880 - 400 σελίδες
...straight line AB make with the straight line CD, on one side of it, the angles CBA, ABD : these either are two right angles, or are together equal to two right angles. For if the angle CBA is equal to -the angle ABD, each of them is a right angle. . . . [Definition 10. -But if not, from...

Papers for teachers

1880
...from the given angle ? 2. The angles which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. Why is this proposition a theorem ? THIRD (OR FOURTH) YEAR. Arithmetic.— MALES. — i. Find the simple...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...DCA. PROP. XIII. THEOREM. The angles which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. CASE I. — When the angles are equal to each other. Let the straight line AB make with the straight...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 443 σελίδες
...equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD ; these are either two right angles, or are together equal to two risrht angles. For if the angle ABC is equal to ABD, each of C u D them is a right angle (Def. 19)...

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

Pupil teachers - 1880
...triangle is isosceles. 18. The angles which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. Same proposition. If the angles are CBA, ABD, and BE bisects ABC, and BF bisects ABD, then FEE is a...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...another upon one side of it, are either two right anglet, or are together equal to two right anylet. Let the straight line AB make with CD, upon one side of it, the two angle) CBA, ABD. Thee angles ari either two right armies, or ire togt'thei equal to two right auglea....

The College Calendar for the Free Church of Scotland, 1882-82

Free Church of Scotland. College Committee - 1882 - 113 σελίδες
...Rev. JAMES MATTHEW, BD 1. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 σελίδες
...circumference. PROP. 13. THEOR. The angles which one straight line makes with another on one side of it are either two right angles, or are together equal to two right angles. Flo. 1. A B Given AB meeting CD and making with it L s. ABC and ABD. To prove L ABC and L ABD either...




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