 If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.  The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | Euclides - 1865 - 402 pages
...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...drawn through the given point A, parallel to thegieen straight I ineBC. Q..EF 02. THEOREM. If a fide of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the given straight line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie exterior angle is equal to the two interior and opposite...and the three interior angles of every triangle, are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...Exercises on parallels . ...... ..17 SECTION III. PLANE TRIANGLES. THEOREM 8. If one side of a triangle is produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of any triangle are together equal ' to two right angles ii 20 THEOREM 9. An isosceles triangle has the... | |
 | Robert Potts - 1868 - 434 pages
...BC. (I. 27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...answer. 5. What is the common modern classification of Duties ? HIGHER MATHEMATICS. 1. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences... | |
 | James Maurice Wilson - 1869 - 260 pages
...SECTION III. TRIANGLES. THEOREM 7. If one side of a triangle is produced, the exterior angle will be equal to the two interior and opposite angles, and the three interior angles of any triangle will be together equal to two right angles . . . . . • .20 Four Corollaries. THEOREM... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...magistracy. ROMOLA. GROUP C. . FRIDAY, July 8, 1870. 11^ to 2. (ZBucltJj anto ©omc Sections. 1. IP a side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. The sides AS, AC of a triangle ABG are produced to E, F and the... | |
 | Robert Assheton Napier - Navigation - 1880 - 132 pages
...course. Time, 9 pm .-. elapsed time = 30 minutes = 6 miles = distance from light. Proof—If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; but one interior and opposite angle is already equal to half the exterior angle, therefore the other... | |
 | 1880 - 594 pages
...the straight line AE, therefore the two angles ACB, BCE are equal to two right angles (i. 13) ; but the three interior angles of every triangle are equal to two right angles (i. 32), therefore the three interior angles of the triangle DBC are equal to the three angles ACD,... | |
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