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" BC above it : and since the straight line AB is in the plane, it can be produced in that plane : let it be produced to D ; and let any plane pass through the straight line AD, and be turned about it until it pass through the point C; and because the points... "
An elementary course of mathematics - Page 4
by Samuel Hunter Christie - 1847
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...it: and since the straight line AR ic in tho nlino it non Via T»fr»_ /1 J ' A AB is in the plane, it can be produced in that plane : let it be produced...because the points B, C are in this plane, the straight lineBC is in it (7. def. 1.): therefore there are two straight lines ABC, ABD in the same plane that...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...straight line AB is in the plane, it can be produced in that plane : let it be pro- p duced to D i and let any plane pass through ^ the straight line...turned about it until it pass through the point C ; and • 7 Def. 1. because the points B, C are in this plane, the straight line * BC is in it : therefore...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...line ABC, be in the plane, and the part BC above it : And since the straight line AB is in the plane, it can be produced in that plane : Let it be produced...the straight \— line AD, and be turned about it v£ until it pass through the point C ; and because the points B, C, are in this plane, the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...above it : And since the straight line AB is in the plane, it can be produced in that plane : Let it C be produced to D : and let any ^ -~^^^ plane pass through the straight V— -<\ \ line AD, and be turned about it vst & ^ P\ until it pass through the point C ; and because...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight line ABC, be in the plane, and the part BC above it : and (I. post. 2.) since AB is in the plane, it can be produced in that plane : let it be produced to D ; and let any plane pass through AD, and be turned about on AD, till it pass \ ^~~^^' c through C; and (I. def. 5.) because the \AB...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...line ABC, be in the plane, and the part BC above it ; and since the straight line AB is in the plane, it can be produced in that plane ; let it be produced to D. Then ABC and ABD are two straight lines, and they have the common segment AB ; which is impossible...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...and the part BC above it : and since the straight line AB is in the plane, it can be produced in ^^ C that plane : let it be produced to D : ^ ^^'^\ and...plane pass through the straight line AD, and be turned \A about it until it pass through the point C : and because the points B, C'are in this plane, the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...the part BC above it : and since the straight line AB is in the plane, it can be produced in ^^- C that plane : let it be produced to D : ^- ^^"^\ and let any plane pass through the \_ -^ \ straight line AD, and be turned \AB J>\ about it until it pass through the point C : and because...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...line ABC, be in the plane, and the part BC above it: and since the straight line AB is in the plane, it can be produced in that plane. Let it be produced...through the point C; and because the points B, C are * 7 Def. in this plane, the straight line* BC is in it: therefore 1. there are two straight lines ABC,...
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The Elements of Descriptive Geometry ...

Thomas Grainger Hall - Geometry, Descriptive - 1841 - 214 pages
...straight line ABC, be in the plane, and the part BC above it. Then Y the straight line AB is in the plane, it can be produced in that plane: let it be produced...let any plane pass through the straight line AD, and revolve till it pass through the point c; then Y the points B and c are in this plane; B c is in it;...
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