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" Any two sides of a triangle are together greater than the third side. "
Euclid's Elements of Geometry - Page 59
edited by - 1893 - 504 pages
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...given difference A D. The figure ABC therefore is the triangle required. PROP. 20.— THEOR. side. Any two sides of a triangle are together greater than the third CONSTRUCTION. — Pst. 2. A st. line may be lengthened out in a st. line. P. 3. From the greater line...
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Photographic notes and journal of the Manchester photographic society ...

Thomas Sutton - 1858 - 344 pages
...Petzval's arrangement ; for it appears that С 1 is greater than С m. The proof of this is easy enough. Any two sides of a triangle are, together, greater than the third, therefore 1 С and С A are together greater than A 1, and therefore than A m. Take away the common...
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A Dictionary of Photography

Thomas Sutton - Photography - 1858 - 448 pages
...Petzval's arrangement ; for it appears that CO is greater than Cm. The proof of this is easy enough. Any two sides of a triangle are, together, greater than the third, therefore OC and CA are together greater than AO, and therefore than Km. Take away the common part...
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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ...

Thomas Lund - Geometry - 1859 - 390 pages
...angles. COB. Hence no triangle can have more than one right angle, or one obtuse angle. 38. PROP. XVI. Any two sides of a triangle are together greater than the third side. Qlf this be not evident from the fact that the straight line joining any two points is less than any...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 414 pages
...the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. 4. Any two sides of a triangle are together greater than the third side. The difference of any two sides of a triangle is always less than the third side. 5. The three interior...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...hour-and-a-half after the rider. What is the distance between the two places ? EUCLID, B. 1, 2, 3. 1. Any two sides of a triangle are together greater than the third. 2. The straight lines which join the extremities of equal and parallel straight lines toward the same...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROPOSITION XX. THEOREM. Any two sides of a triangle are together greater than the third side. Let ABChe a triangle. Hen any two sides of it together shall be greater than the third side, -viz....
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...Kidsummer, 1863. WEDNESDAY, July 15th,— Morning, 12 to 2. GEOMETRY. Examiner — THE REV. G. FEOST, MA 1. Any two sides of a triangle are together greater than the third side. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...that there is a white ball at each end ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...velocity. How high does it then ascend 1 MATHEMATICS. Afternoon Paper. REV. WN GRIFFIN, MA EUCLID. 1. Any two sides of a triangle are together greater than the third. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...
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