| Edward Harri Mathews - 1879
...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
...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 - 1880 - 503 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 - 112 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
...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
...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
...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
...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... | |
| |