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" Any two sides of a triangle are together greater than the third side. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 30
av Robert Simson - 1806 - 518 sider
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Photographic notes and journal of the Manchester photographic society ...

Thomas Sutton - 1858
...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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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...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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A Dictionary of Photography

Thomas Sutton - 1858 - 423 sider
...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 - 1859 - 362 sider
...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 ...

1859
...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 - 1869 sider
...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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...is not equal to AB ; therefore AC is greater than AB." .* ',", PROPOSITION XX. THEOREM. '•,'. ;r:! Any two sides of a triangle are together greater than the third side. Given a triangle ABC ; to prove that any two sides, of it together are greater than the third side;...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...pass through the point A, let it fall otherwise, if possible, as FGDH, and join AF, AG. Then, because two sides of a triangle are together greater than the third side, (l. 20.) therefore FG, GA are greater than FA : but FA is equal to FH; (I. def. 15.) therefore FG,...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...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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