| Edward Harri Mathews - 1879 - 94 pages
...Playfair propose to substitute for Euclid's 1 2th axiom in proving this proposition? Section II. 1. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and thi three interior angles of any triangle are equal to two righ,... | |
| Olaus Henrici - Congruences (Geometry) - 1879 - 220 pages
...two right angles, or =tr. § 138. At the same time it has been proved Theorem: In every triangle an exterior angle is equal to the sum of the two interior and opposite angles; or Every angle in a triangle is supplementary to the, sum of the other two. This shows... | |
| Elizabethan club - 1880 - 156 pages
...given point without it. Show how to do this practically with a ruler and a pair of compasses. 3. If a side of a triangle be produced the exterior angle is equal to the sum of the two interior angles, and the three interior angles of every triangle are together equal to two right angles. Enunciate... | |
| William Henry Searles - 1899 - 630 pages
...vertical angle. And is perpendicular to the base. 5 L, XXV., Cor. 6.. If one side of a triangle is produced, The exterior angle is equal to the sum of the two interior and opposite angles. 6 IV., XX I, XXVII If two triangles are mutually equiangular, They are similar. And... | |
| T S. Taylor - 1880 - 152 pages
...THEOREM (Euclid I. 32, First Part). Repeat. — The enunciations of Euc. I. 29. General Enunciation. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that the exterior... | |
| Robert Assheton Napier - Navigation - 1880 - 130 pages
...ship's 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... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...to each other, the sides also which subtend the equal angles shall be equal to one another. 3. If a side of a 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... | |
| 1883 - 248 pages
...angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle are together equal to two right angles.... | |
| Education, Higher - 1882 - 498 pages
...line, any point in this perpendicular is at equal distances from the extremities of the line. 7. If a side of a 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... | |
| 1886 - 568 pages
...2x*—5x = 12, to find x. EUCLID. FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of any triangle are together equal... | |
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