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" To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20. "
Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ... - Page 184
by Samuel H. Winter - 1877 - 413 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...angle BAG. Therefore, if from the ends of, &c. QED a 20. 1. b 3. Post. c 11. Def. PROP. XXII. PROB. TO construct a triangle of which the sides shall be equal...given straight lines; but any two whatever of these lines must be greater than the third1. Let A, B, C be the three given straight lines, of which any...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...if from the ends of, &c. QED PROP. XXII. PROB. TO make a triangle of which the sides shall be See v. equal to three given straight lines, but any two whatever of these must be greater than the third a. aso. i. Let A, B, C be the three given straight lines, of which any two whatever are greater than...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...than the other two sides of the triangle, but (hall contain a greater angle. Prop. XXII. Prob. To make a triangle of •which the sides shall be equal to three given 4trai;ht lines, but any two whatever of these must be greater than the third. Prop. XXII 1. Pr<>b....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides shall be See N. equal to three given straight lines, but any two whatever of these must be greater than the third".'to. v Let A, B, C be the three given straight lines, of which any two whatever are greater...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...if from the ends of, &c. QED PROP. XXII. PROB. To make a triangle of which the sides shall be Sec x. equal to three given straight lines, but any two whatever of these must be greater than the third ". • 20. i Let A, B, C be the three given straight lines, of which any two whatever are greater than...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 352 pages
...describe a spherical triangle, of which the sides shall be equal to three given arches of great circles : but any two whatever of these must be greater than the third*. It is evident, that Art. 92. 59. and 31. may be applied to the construction of this problem, and its...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...the other two sides of the triangle, but ih.il] contain a gre.iter angle. Prop. XXII. Prob. To make a triangle of which the sides shall be equal to three...whatever of these must be greater than the third. Hicp X.X111. i'rob. At a given point in a given streicht line, to male a rectilineal angle equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...angle BDC greater than the angle BAC. Therefore, if from the ends of, &c. Q, ED PROP. XXII. PROB. To construct a triangle of which the sides shall be equal...given straight lines ; but any two whatever of these lines must be greater than the third (20. 1.). Let A, B", C be the three given straight lines, of which...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle BDC greater than the angle BAC. Therefore, if from the ends of, &c. QED PROP. XXII PROB. To make a triangle of which the sides shall be equal to three...two whatever of these must be greater than the third (20. 1.)* Let A, B, C be the three given straight lines, of which any two whatever are greater than...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...&c. OE D •LBMBNTS OV EUCLID. Proposition XXII. Problem. To make a triangle of which the sides thall be equal to three given straight lines, but any two...whatever of these must be greater than the third. (20. 1.) Let А, В, С, be the three given straight lines, of which any two whatever are greater than...
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