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" Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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... "
Elements of Geometry, Conic Sections, and Plane Trigonometry - Page 20
by Elias Loomis - 1877 - 443 pages
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...angles, (ax. 1.) 7. And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles; 8. Therefore KH is in the same straight line with HM. (I. 14.) 9. And because the straight line HG...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 3. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. 4. At a given point in a given straight line, make a rectilineal...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...equal to two right angles(ax. 1.) Wherefore, when a straight line, &o. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjavent angles together equal to two right angles ; then these two straight lines shall be in one...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...equal to two right angles, (ax. 1.) Wherefore when a straight line, &c. QED PROP. XIV.— THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, mahe the adjacent angles together equal to two right angles, then these two straight lines shall be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...QBD PROPOSITION XIV. THEOREM. lf at a paint in a straight line, two other straight lines, upon tha opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point B in the straight...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...straight line, and on the same side of it, are together equal to two right angles. PROPOSITION VI. THEOR. If at a point in a straight line two other straight lines on the opposite sides of it make the adjacent angles together eqnal to two right angles, these two...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angles. F BC 1C HM And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HG meets the parallels...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ABC are together equal to two right angles. Wherefore, the angles &c. QEP PROPOSITION 14. THEOREM. If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, these two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight...it, make the adjacent angles together equal to two rig/it angles ; then these two straight lines shall be in one and the same straight line. At the point...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...Recap. PROP. 14.— THEOB. If at a point in a st. line, two other lines, upon ike opposite sides oj it, make the adjacent angles together equal to two right angles, these two lines shall be in one and the same Line. CONS. — Pst. 2. A straight line may be produced to any length...
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