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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 book of Euclid's Elements, simplified, explained and illustrated ... - Σελίδα 49
των Euclides - 1847
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 522 σελίδες
...THIS PAPER.) Section I. 1. If from the ends of the sides of a triangle there he drawn a straight line to a point -within the triangle, these shall be less...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...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...greater than the third. Which was to be proved. PEOP. XXI. THEOE. If from the extremities of any side of a triangle there be drawn two straight lines to a point within the triangle : then these two straight lines shall together be less than the other two sides of the triangle, and...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 σελίδες
...points to any other point in the given straight line. PROP. 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 together shall be less than tfte other two sides of the triangle, but shall contain a greater angle....

Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 σελίδες
...another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one...

National Society's Monthly Paper

1856 - 376 σελίδες
...another, and likewise those which are terminated in the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 σελίδες
...triangle subtends the greater angle. 3. If from the ends of a side of a triangle, there be drawn two right lines to a point within the triangle, these shall...of the triangle, but shall contain a greater angle. •1. If a right line falling upon two other right lines, make the exterior angle equal to the interior...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be drawn two straight lines to...the triangle, these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 σελίδες
...B C. XXII.— EUCLID 1. 21. If from the ends of the sides of a triangle two straight lines be drawn to a point within the triangle, these shall be less than the other sides of the triangle, but shall include a greater angle. Let the two straight lines BD, CD (Pig. 15)...

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 3

1858 - 398 σελίδες
...and tin "axiom." Writedown Euclid's three postulates. 2. Pitor. XXI. — If from the ends of a sido of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior...

Parliamentary Papers, Τόμος 25

Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...and an " axiom." Write down Euclid's three postulates. 2. PKOP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior...




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