 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 be less...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... | |
 | 1856 - 376 pages
...the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...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 univ, exam. papers - 1856 - 200 pages
...interior opposite angles. 4. 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 aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel... | |
 | Euclides - 1856 - 168 pages
...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)... | |
 | 1858 - 398 pages
...postulates. 2. Pitor. XXI. — If from the ends of a sido of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...postulates. 2. PKOP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...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... | |
 | Euclides - 1858 - 248 pages
...of the side of a triangle there be drawn two st. lines to a point within the triangle, these lines shall be less than the other two sides of the triangle, but shall contain a greater angle. CONSTRUCTION. — Pst. 2. A terminated st. line may be produced. DEMONSTRATION. — P. 20. Any two... | |
 | Euclides - 1868 - 88 pages
...from the end of the side of a triangle there be drawn two si. lines to a point within the these lines shall be less than the other two sides of the triangle but shall contain a greater angle. CON. Pst. 2. DEM. P. 20. Ax. 4. P. 16. UsE. EXP. 1 Hyp. 2 Conol. 1. „ 2. CON. 1 Pst. 2. DEM 1 P.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...ends of the side of a triangle there be drawn two straight lines to a point within the triangle there shall be less than the other two sides of the triangle...right angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain... | |
 | John Paxton Hall - 1860 - 186 pages
...postulates. PROP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior... | |
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Therefore any two sides, &c. QED PROP. XXI. THEOR. 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... 
