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" I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl. "
An Elementary Course of Plane Geometry - Página 11
por Richard Wormell - 1870 - 16 páginas
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Proceedings, Volumen10

Royal Society of Edinburgh - 1880 - 864 páginas
...the va-rtpov irpar«pov of discussing the construction of an equilateral triangle before proving that when two straight lines cut one another the vertically opposite angles are equal ! Appendix on the Trigonometry of Elliptic and Hyperbolic Space. The following appears to me to be...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 286 páginas
...number of straight lines that meet in a point, are together equal to four right-angles. 8. Prove that when two straight lines cut one another the vertically opposite angles are equal. 9. Show how to form a square angle. Show how to test a setsquare. 10. Explain how a perpendicular may...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 páginas
...together equal to two right angles, these two straight lines are in one straight line, THEOR. 4. If two straight lines cut one another, the vertically opposite angles are equal to one another. SECTION 2. TRIANGLES. DEF. 30. An isosceles triangle is that which has two sides equal....
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The Cambridge Examiner, Volumen2

1882 - 498 páginas
...and the sides adjacent to equal angles also equal, the triangles are equal in every respect. 3. If two straight lines cut one another the vertically opposite angles are equal. 4. From a given point draw the shortest line possible to a given straight line. 5. Any two sides of...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 páginas
...together equal to two right angles, these two straight lines are in one straight line. THEOR. 4. If two straight lines cut one another, the vertically opposite angles are equal to one another. DEF. 31. A right-angled triangle is that which has one of its angles a right angle....
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The Academy, Volumen6

1892 - 652 páginas
...line with two others make two right angles these two lines are in one straight line. 10. Prop. IV. If two straight lines cut one another the vertically opposite angles are equal. Section II. Triangles. 11. Prop. V. If a perpendicular is erected at the middle point of a straight...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 páginas
...which cannot be, unless AZ lie along AY. .'. XA, AY are in a st. line. Proposition 15. THEOREM — If two straight lines cut one another, the vertically opposite angles are equal. Let the two st. lines AB, CD, cut one another in X. Then, since DX meets AXB, AA . BXD + DXA = two...
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Famous Geometrical Theorems and Problems, with Their History, Parte1

William Whitehead Rupert - 1900 - 148 páginas
...probability refer back to him : i. The angles at the base of an isosceles triangle are equal. ii. If two straight lines cut one another, the vertically opposite angles are equal. Thales may have regarded this as obvious. Euclid, who was of Greek descent, and who was born about...
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A Short Account of the History of Mathematics

Walter William Rouse Ball - 1901 - 580 páginas
...turning it over, and then superposing it on the first ; a sort of experimental demonstration. (ii) If two straight lines cut one another, the vertically opposite angles are equal (Euc. ,, 15). Thales may have regarded this as obvious, for Proclus adds that Euclid was the first...
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Elementary Plane Geometry: Inductive and Deductive

Alfred Baker - 1903 - 154 páginas
...2 rt. angles = ZEBC + ZEBA, and dropping from both sides the angle ABE, we have ZABD=ZEBC. Hence if two straight lines cut one another, the vertically opposite angles are equal. Yet such a proposition scarcely needs demonstration; for, as was said in Chapter I., a straight line...
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