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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 - Página 9
por Samuel Hunter Christie - 1847
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 páginas
...which BD and BE are, is (XI. 3) a straight line; let this be BF. Therefore the three straight lines BA, BC, BF are all in one plane, viz. that which passes through AB, BC; and (XI. 4) because AB is at right angles to each of the straight lines BD, BE, it is also at right angles...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 páginas
...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...are all in one plane, viz. that which passes through jiD, BC ; and because AB stands at right angles to each of the straight lines BD, BE, it is also at...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...section of which, with the plane in which are BD and BE, will be a straight line — BF suppose : Then the three straight lines AB, BC, BF are all in one plane, viz. that which passes through AB and BC : And because AB stands at right angles to each of the straight lines BD, BE, it is also at...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 páginas
...AB, BC, the common Bection of which, with the plane in which BD and BE are, is a straight line (a); let this be BF: therefore the three straight lines...straight lines BD, BE, it is also at right angles to the plane passing through them (4) ; and therefore makes right angles with every straight line in...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...lines AB, B С, and BF are all in one plane (Hyp.), viz., that which passes through AB and B С : and AB stands at right angles to each of the straight lines BD and B E. Therefore AB is at right angles (XI. 4) to the plane in which they are. Wherefore AB makes...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...AB, BC, the common section of which, with the plane in which BD and BE are, is a straight line (a); let this be BF: therefore the three straight lines...straight lines BD, BE, it is also at right angles to the plane passing through them (4) ; aud therefore makes right angles with every straight line in...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...the common section of which, with the plane in which Bl) and BE are, is a straight line ; (XI. 3.) let this be BF: therefore the three straight lines AB, BC, BF axe all in one plane. viz. that which passes through AB, BC. And because AB stands at right angles...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...straight lines AB, BC, BF most be all in one plane, viz. that which passes through AB, BC. DEMONSTRATION Because AB stands at right angles to each of the straight lines BD, BE, therefore it is also at right angles to the plane passing through them; (xi. 4.) wherefore it makes...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...BC, the common section of which, with the plane in which BD and BE are, is a straight line ; (xi. 3.) let this be BF: therefore the three straight lines AB, BC, BF axe all in one plane, viz. that which passes through AB, BC. And because AB stands at right angles...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 350 páginas
...the common section of which with '.he plane, in which BD and BE are, shall be a straight (3. 2. Sup.) 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...
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