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" Note. (3. 11.) line; let this be BF: therefore the three straight lines AB, BC, BF are all in one plane, viz. that which passes through AB, BC : and because AB stands at right angles to each of the straight lines BD, BE, it is also at right angles (4.... "
An elementary course of mathematics - Page 9
by Samuel Hunter Christie - 1847
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...r.' i D*f ii, b. 4. n. A 15ook XI. ftraight • line; let this be BF. therefore the three ftraight lines AB, BC, BF are all in one plane, viz. that which paftes thro' AB, BC. and becaufe ABftands at right angles to each of the ftraight lmes BD, BE, it is...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...are, 83.11. Book xL are, fhall be a ftraight » line ; let this be BF : Therefore the three ftraight lines AB, BC, BF are all in one plane, viz. that which paffes through AB, BC ; and becaufe AB (lands at right angles to each of the ftraight lines BD, BE,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...in which BD and BE are, fliall be a ftraight » line ; let this be BF : therefore the three ftraight lines AB, BC, BF are all in one plane, viz. that which pafies through AB, BC ; and beeaufe AJB ftands at right angles to each of the ftraight lines BD, BE,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the common section of which with the plane, in which BD and BE are, Book XI. shall be a straight » line ; let this be BF : therefore the three ' —...lines AB, BC, BF are all in one plane, viz. that which a 3. 11. • passes through AB, BC ; and because AB stands at right angles to each of the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...2. Sup. therefore the three straight lines AB, BC, BF are in one plane, which passes through AB, BC. Because AB stands at right angles to each of the straight lines BD, BE, it is also at right angles'1 b*. 2. Sup. to the plane passing through them, and therefore makes right angles with every...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...with the plane, in which BD and BE are a 3. 11. b. 4.11. c 3. df. II. Rook XI. sliall be a straight» line; let this be BF: therefore the three straight...which passes through AB, BC; and because AB stands gt right angles to each of the straight lines BD, BE, it is also at right angles b to the plane passing...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...the plane in which BD O '8. i. Booi XI. and BE are, shall be a straight* ' line; let this be BF: *~v^ Therefore the three straight lines AB, BC, BF, are...AB stands at right angles to each of the straight '4 Def. 1i. ing through them ; and therefore makes right angles c with b 4.1i. lines BD, BE, it is...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...BC, . tfec common section of which, with the plane in which BD O and BE are, shall be a straight a line ; let this be BF : Therefore the three straight...AB stands at right angles to each of the straight k 4. 11. lines BD, BE, it is also at right angles'* to the plane pas«: s Def. 11. ing through them...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...the common section of which with the plane, in which BD and BE are, shall be a straight (3. 2. Sup.) line ; let this be BF : therefore the three straight...straight lines BD, BE, it is also at right angles (4. 2. Sup.) to the plane passing through them ; and therefore makes right angles with every straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...section of which with the plane, in which BD and BE are, •Be* Note. shall be a straight (3. 11.) line; let this be BF: therefore the three straight lines AB, BC, BFare all in one plane, viz. that which passes through AB, BC: and because AB stands at right angles...
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