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" ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Page 37
by Euclides - 1877
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 - Trigonometry - 1806 - 546 pages
...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 pages
...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 - 1816 - 588 pages
...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 pages
...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 to three given straight lines, but any two whatever of these must be greater than the third. Hicp X.X111. i'rob. At a given point...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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 - Geometry - 1821 - 514 pages
...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 to three given straight lines, but any two whatever of these must be greater than the third (20. 1.)* Let A, B, C be the three given...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...distance between two points is a straight line. OF GEOMETRY. Book I. PROPOSITION I. PROBLEM. To construct a triangle, of which the sides shall be equal to three...straight lines ; any two of which are greater than the third.a aCor.Ax.12. Let AB represent the base, and C, D, the two sides of the triangle which it is...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...third, viz. A and B greater than G; 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 unli* s. 1. mited towards...
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