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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let... "
Government examinations, a companion to 'Under government' and a key to the ... - Page 87
by Joseph Charles Parkinson - 1860
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...the square of 1'732 differs from 3 : find the square root of 71 to three decimal places. EUCLID. 1. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle and have...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Conclusion. — Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If from the ends of the side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. (References— Prop. I. 16, 20; ax. 4.) Hypothesis. — Let ABC be a triangle, and from ths points...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...than CA; and BC, CA, are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a side of a triangle there be drawn tioo straight lines to a point within the triangle ; then these shall be less than the other two sides...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...(ABC), there be drawn two straight lines to a point (D) within the triangle, these (BD and CD) together shall be less than the other two sides of the triangle, but shall contain a greater angle. Produce BD to E. Then, tie two Bides BA, AE, of the triangle unequals add EC. Therefore the two sides...
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Guide to the Civil service

1864
...2. 1. Define a circle and a rhombus, and give Euclid's 12th axiom (relating to parallel lines). 2. If from the ends of a side of a triangle there be...the triangle, but shall contain a greater angle. 3. What is meant by a corollary? State and prove the corollaries to the proposition in which it is proved...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...; also that BC, CA are greater than AB. Therefore any two sides, &e. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...; also that BC, CA are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points B, C, the ends of the Bide BC, let the two straight lines...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...than CA; and BC, CA, are greater than AB. Therefore, any two sides, &c. QED PROP. XXI.— THEOREM. If from the ends of a side of a triangle there be...two straight lines to a point within the triangle; then these shall be less than the other two sides of the triangle, but shall contain a greater angle....
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Elements of plane geometry, book i, containing nearly the same propositions ...

1865
...not equal to AB ; therefore AC is greater than AB. PROPOSITION XXI. TIIEOR. If from the ends of one side of a triangle there be drawn two straight lines to a point within the triangle, these two straight lines are less than the two sides of the triangle, but contain a greater angle. Let the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...greater than AB. Wherefore, any two sides &c. QED PROPOSITION 21. THEOREM. If from, the ends of the side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, O, the ends of the side BC, let the two straight lines...
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