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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Report of the Secretary for Public Instruction ...

...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 drawn 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 - 167 σελίδες
...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 drawn 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...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...that the 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 - 657 σελίδες
...that the 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 - 96 σελίδες
...propositions. 1. 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...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 ...

...triangle there be drawn 20 two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle, but shall contain a greater angle. G. Describe a triangle having its sides equal to three 19 given straight lines, any two of which are...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 σελίδες
...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 drawn two straight 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 - 531 σελίδες
...annual 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...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...

Sessional Papers, Τόμος 22,Μέρος 2

...annual expenditures in the ratio of 7 : 2. Rich of thorn saves ilOO, find their incomes. LO. If from the ends of the side of a triangle there be drawn two...of the triangle, but shall contain a greater angle. 1 1: If the square described on one of the sides of a triangle bfl equal to the squares described on...

Special Reports on Educational Subjects, Τόμοι 6-7

...annual 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...lines to a point within the triangle, these shall bo less than the other two sides of the triangle, but shall contain a greater angle. 11. If the square...