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" Any two sides of a triangle are together greater than the third side. "
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 24
av Euclid, Robert Simson - 1829 - 516 sider
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The popular educator, Volum 4;Volum 7

Popular educator - 1852
...D. Therefore, if from a point without a given straight line, &c. QE.D. PROPOSITION XX.— THEOREM. Any two sides of a triangle are together greater than the third side. In fig. 20, let ABO be a triangle; MI. SO. any two of its sides are together greater than the third...
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Sabbath evening readings on the New Testament, Volum 1

John Cumming - 1854
...are not equally important. Two and two are four, is a truth ; the sun rises and sets, is a truth ; any two sides of a triangle are together greater than the third side, is a truth ; the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...than AB ; and it has been shewn that it is not equal to AB ; therefore AC is greater than AB. — — PROP. XX. THEOR. Any two sides of a triangle are together...Let ABC be a triangle ; any two sides of it together arc greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB, BC greater...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...be drawn to the given straight line, one upon , each side of the shortest line. : PROP. XX. THEOREM. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle : any two of its sides are together greater than the third side ; viz., the sides BA, AC, are greater than the...
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Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J Butler Williams - 1855 - 272 sider
...the true length : this follows from Euclid's 20th proposition of the first book, which proves that any two sides of a triangle are together greater than the third. Also, the frequent repetition of errors in the coincidence of the extremities of the chain with the...
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Essays on the Intellectual Powers of Man

Thomas Reid - 1855 - 492 sider
...this proposition, — Any two sides of a triangle are together equal to the third, — as of this, — Any two sides of a triangle are together greater than the third; yet the first of these is impossible. Perhaps it will be said, that, though you understand the meaning...
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The Elements of Plane and Spherical Trigonometry

John Hind - 1855 - 328 sider
...excluded. The circumstances here pointed out, are nothing more than what have all along been assumed, that any two sides of a triangle are together greater than the third : but it thus appears that the Algebraical Formulae are sufficient of themselves to determine the consistency...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...opposite the greater of the two AB, AC, or, in other words, AC is greater than A B. XXI.— EUCLID I. 20. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle (Fig. 14), take any side BA and produce it at one extremity to D,- making AD equal to AC the adjacent...
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The British and Foreign Evangelical Review and Quarterly Record of Christian ...

1856
...of its conclusions. They who can deny them, * Jxdtptndent for June 28, 1855. may as well deny that any two sides of a triangle are together greater than the third side, or the truth of any other demonstrable proposition.* What was the peculiar characteristic nature of...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...angles at the base, prove that the locus of the vertex is a hyperbola, and find its asymptotes. 1. ANY two sides of a triangle are together greater than the third side. If a polygon with only salient angles be situated inside another polygon, the perimeter of the former...
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