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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 first six books of the Elements of Euclid, with numerous exercises - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...are greater than CA, and BC and CA greater than AB. PBOPOSITION XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 σελίδες
...sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn tteo straight lines to a point within the triangle; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...interest on 1049Z. 16s. Gd. for 6 years 4 months at 4^ per cent., simple interest. Euclid. 1. If from the ends of the side of a triangle there be drawn two...of the triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...AB. 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...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
...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 of the triangle, but shall contain a greater angle. (References — i. 16, 20; ax. 4.) Let the two straight lines BD, CD, be drawn from B, C, the ends...

Responsions

University of Oxford - 1863
...a given 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...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
...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 drawn two straight lines...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 BD,...

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

Euclides - 1864
...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 drawn two straight lines...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 BD,...

Guide to the Civil service

Henry White - 1864
...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 drawn two straight lines...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...




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