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" ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. "
Solutions to the mathematical examination papers set for admission to the ... - Pagina 11
door D. Tierney - 1877
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pagina’s
...third, viz. A and B greater than C ; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE, terminated at the point D, but unlimited towards E,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 pagina’s
...the third, viz. A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pagina’s
...less 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 pagina’s
...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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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - 1816 - 352 pagina’s
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagina’s
...the third, viz. A and B greater than C ; A and C .greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pagina’s
...le»! than 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...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 - 1819 - 350 pagina’s
...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 to three...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pagina’s
...the third, viz. A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take a straight line DE terminated at the point D, but unlimited towards E,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagina’s
...the 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...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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