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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... "
The examination papers as set for the preliminary literary examination of ... - Σελίδα 6
των Royal college of surgeons of England - 1860
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...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...

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...

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...

Responsions

University of Oxford - 1863
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If from the ends of the side of a triangle there be drawn two straight lines...than the other two sides of the triangle, but shall confine a greater angle. 4. Divide a given straight line into two parts so that the rectangle contained...

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...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 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...

Guide to the Civil service

Henry White - 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...of 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...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 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...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 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....

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 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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