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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... "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 66
των T S. Taylor - 1880
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 σελίδες
...greater angle of every triangle is subtended 1 greater side, or has the greater side opposite to it. 5. If from the ends of the side of a triangle there be two straight lines to a point within the triangle, these sh less than the other two sides of the triangle,...

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...greater side opposite it. 20. Any two sides of a triangle are together greater than the third side. 21. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of...

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

Euclid - 1892 - 460 σελίδες
...triangle, there be drawn (wo 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. A BC Let ABC be a triangle, and from B, C, the ends of the side BC, let the two straight lines BD,...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...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 - 188 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 - 486 σελίδες
...point such 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...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
...point such 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...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
...sequence of 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...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
...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 - 362 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...




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