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" If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Side 34
av Euclides - 1847
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 sider
...equal to two right angles. Wherefore, the angles which one straight line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. At the point B, in the straight line AB, let the two straight lines BC, BD, upon the opposite sides...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...line, &c. QED PROPOSITION XIV. — THEOREM. If , at a point in a straight line, two other straiglit lines, upon the opposite sides of it, make the adjacent...lines shall be in one and the same straight line. AT the point b in the straight line ab, let the two straight lines bС, bd upon the opposite sides...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...together equal to two right angles. Wherefore, when a straight line, etc. QED PROPOSITION XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite side of it, make the adjacent angles together equal to two right angles, these two straight lines shall...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853 - 334 sider
...right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines, on the opposite sides of it, make with it the adjacent angles together equal to two right angles: then...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 sider
...the squares on AC, AS, furthest removed from point A; shew that F, A, K, are in one straight line. 2. If, at a point in a straight line, two other straight...lines shall be in one and the same straight line. The angles A and C of a parallelogram ASCD are trisected and the angles S and D are bisected. The bisector...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 sider
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, these ttOo straight lines are in one and the same straight line. At the point B in the straight line AB,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — If at a point in a straight line two other straight lines meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 sider
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. The 15th, Book I. If two straight lines cut one another, the vertical or opposite angles shall be equal....
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 sider
...equal to that of the two adjacent angles BAD, DAF. B E PROPOSITION in. THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B, in the straight line AB, let the two straight...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...its sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on the opposite sides of it make the adjacent angles together equal to two rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same...
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