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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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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...Prove that case of Euclid I. 7, where the vertex of each triangle is without the other triangle. 17 5. If from the ends of a side of a triangle there be...two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle. 20 6. If two triangles...

The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 188 σελίδες
...this ? 10. Prove Proposition 20 by bisecting one of the angles. [See XXI. 10.] Proposition 21. 101. If from the ends of a side of a triangle, there be...two straight lines to a point within the triangle, then I. these straight lines together shall be less than the two sides of the triangle together, and...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 σελίδες
...and CB, BA are together greater than AC. QE n. [For Exercises see page 38.J PROPOSITION 21. THEOREM. If from the ends of a side of a triangle, there be drawn (wo straight lines to a point within the triangle, then these straight lines shall be less than the...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 486 σελίδες
...difference of its distances from two fixed points is a maximum. PROPOSITION 21. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 708 σελίδες
...difference of its distances from two fixed points is a msximum. PROPOSITION 21. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...

Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 112 σελίδες
...From a given point to dra,wa straight line equal to a given straight line. 2. If from the ends of the side of a triangle there be drawn two straight lines...point within the triangle, these shall be less than i he other two sides of the triangle, but shall contain a greater angle, Prove that the sum of the...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897 - 446 σελίδες
...equal to two right angles, then these two straight lines shall be in one and the same straight line. 5. If from the ends of a side of a triangle there be drawn 20 two straight lines to a point within the triangle, then these straight lines shall be less than...

Euclid, Βιβλία 1-4

Rupert Deakin - 1897 - 344 σελίδες
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 σελίδες
...BA and AD; that is, to BA and AC. Therefore BA and AC are greater than BC. PROPOSITION 21. THEOREM If from the ends of a side of a triangle there be...lines to a point within the triangle, these shall together be less than the other two sides of the triangle, but shall contain a greater angle. Let ABC...

Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 σελίδες
...expenditures in the ratio of 7 : 2. Each of them saves £100, find their incomes. 10. 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. 11. If the square described on one of the sides of a triangle bo equal to the squares described on...




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