Reading Memorial High School - Pioneer Yearbook (Reading, MA)

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THE PIONEER. 33 One day at low tide we walked up the banks of the creek, and procured some bolts and pieces of wood from an old wreck on Green Island, but for some reason unknown tons had been towed up the creek. One Monday, quite a number of young people, myself included, went to Stage’s Is¬ land, bathing, using thus the greater part of the afternoon. In the evening we had a de¬ lightful sail around the harbor. The night before returning home a huge bonfire was made of all the old fence-rails and hogsheads that could be found. We were very sorry to return home hav¬ ing spent such a pleasant vacation. We remembered and talked of this sum¬ mer outing for more than a year and shall be glad to spend another vacation ' at Cape Por¬ poise. MATHEMATICAL CORNER. Scimus UT Producimus. It is intended by thoseUn charge to devote a small space each month to mathematical work. It is requested that neighboring schools send us problems for solution, and solutions to problems published in our paper, and that scholars in our own school having any very difficult problems hand them to the editor in charge of this depart¬ ment for publication. Address all communications to GEO. H. CLOUGH, P. O. Box 588. John wanted to get married. He asked the minister’s advice and the following is a part of their conversation :— Minister.—How old are you, John? John.—I am half as old as my father. M.—How old is your father? J.—He is two years older than my mother. M.—How old is your mother? J.—She is twenty-three years older than my oldest sister. M.—How old is your oldest sister? J.—She is two years older ' than my youngest sister. M.—How old is your youngest sister? J.—She is four years older than my oldest brother. M.— How old is your oldest brother? J.—He is five years older than my youngest brother. M.—Now, John, please come to an end ; how old are you all together? J.—The sum of the agesLf us five children is seventeen years less than the sum of the ages of my father and mother. From this conversation find John’s age ; also, the age of each member of the family. To prove that— In an isosceles trapezoid each base makes equal angles with the legs. Solution to Geometry problems published in No. 1. Show that the bisectors of the angles contained by the opposite sides produced, of an inscribed quadrilateral, intersect at right angles. We have the inscribed quadrilateral F Q R S. By producing the opposite sides, we have the angles II G I. Bisect these angles and mark the bisectors B II and A I, designating the point where they intersect by O. To prove the angles formed at O are right angles. Mark by K the point where A I cuts the circumference, and by E the point where H S and A J intersect. Proof: The angle F I A is measured by iA F— R K. The angle A I Q is measured by £AQ—£K S. (An angle formed by two secants is measured by one half the difference of the intercepted arcs.) Therefore, since the augle F I A=the angle A I Q, A F—.1 R K=4 A Q—£ Iv S, or 4 A FT £ K S=£ A QT.J R K. The angle II E 0 is meas¬ ured by h K ST£ A FT F R, and the angle II L O (L representing the point where H Q and A I intersect), is measured by £ A QTj R KT F R. (An angle formed by two chords, intersecting within the circumference is measured bv one-half the sum of the intercepted arcs), h F R is com¬ mon, and we have already shown that A FT4K S = 1 A QT£ R K, hence the angle II E 0=the angle

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32 THE PIONEER. A VISIT TO THE SEASHORE. It 1 )eing so warm at home, we determined to go to the seashore for two or three weeks. O Aft er much discussion we decided upon Cape Porpoise, where we had been the summer before. We started early at about eight o’clock in Ihe morning, in order to reach our destination at noon. After a very pleasant ride through country scenes, we stopped at the Langsford House, which was within a few rods of the sea. After partaking of an excellent fish dinner, papa borrowed a friend’s dory and rowed us up Turbet’s Creek to Turbet’s Cove, where he secured his sail-boat which had been stored for the winter, and hired, from Mr. Schmidt, a dory for my use. I must say a word, right here, about Mr. Schmidt. He was a German, having come to New York when a small boy. Here lie married and continued, for several years, his business of keeping a sail-loft. About thirty years ago, the doctor told him if he wanted his wife to live he must leave New York at once. He told him she could not live more than two months there, but if he moved away to some place near the ocean, she might live three years, lie came immediately to Cape Porpoise, and set up in the fish business. His wife is alive now and in perfect health. Papa took the sail-boat in tow and told Mr. Schmidt he would return for the dory on the following day. By the time we had returned to the landing, the tide was out too far to row any more that afternoon. Papa and my brother, having fastened the boats, remained on the float to “ rig up” and clean out the sail-boatj while my mother and I pro¬ ceeded to the piazza to renew old acquain¬ tances and make new ones. At the sound of the supper bell we all hastened to the dining room, very hungry. I After tea we proceeded to the store and post- office combined, where, in true country fash¬ ion, can be bought cloth or groceries, soda or vegetables, boots or chocolate, while waiting for the mail. On our walk back we picked handfuls of lovely wild roses which grew luxuriantly by the roadside. When we reached the house we went di¬ rectly to bed, being fatigued with our day’s journey and exercise. The next morning we decided to spend the day at Trott’s Island, and about half-past eight started out, taking our dinner in two large baskets. My brother, one of my friends and I went in one dory, and three or four girls, in another boat. We first went to the beach on the ocean side of the island and rambled around for awhile. Then we took some tin pails we had brought, and went to the northeast side to gather raspber¬ ries which grew there in abundance. This took up the remainder of the morning, as we worked leisurely. Nothing particular hap¬ pened during this period. When we had picked our pails full, we returned to the beach and ate our dinner on the piazza of a small house built by some college boys. We ate heartily, as the sea-breeze had given us a good appetite. After dinner we gathered some fir-balsam and then sat down at the foot of a great pine tree to read the books we had brought. At about three o’clock we started for the hotel having had a very pleas¬ ant time, and, reaching there, played some games in the parlor. Two or three days later, we spent the morning on Vaughn’s Island picking blueber¬ ries and hunting for “ lucky ” stones on the beach. In the afternoon we went over to the lighthouse and saw some fine surf. Quite often we rambled in the fields near by and searched for wild strawberries which were abundant. Here also the red lily grows in profusion.

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34 THE PIONEER. II L O, being measured by halves of equal arcs. Therefore, since in the triangles II L O and II O E the angles H E O and II L O are equal, and the angles L H 0=E II 0, the angle H O L= the angle II O E, (if two angles of a triangle are equal the third angles are equal). Therefore the angle II O L and II 0 E are right angles since they are equal and the sum is the straight angle L O E. And the angles LOB aud B O E, the vertical angles of the angles II 0 E and II O L, are right angles. Q. E. I). by “C. G. Herbert.” Solution of x 2 -f-y= ,7 x+y2 = ll y in the first equation=7—x 2 . Substituting this value in the second, we have x(7—x 2 )+ 2 = l 1 x 4 —14x 2 +x=(—38) x 4 —14x 2 +x=38=0 Factoring this, we have (x—2)(x 3 +2x 2 —lOx—19)=0. Then either x—2=0 or x 3 +2x 2 —lOx—19=0. Making either factor equal to zero will satisfy the equa¬ tion ; solving for x—2, we have x=2. x—2=0 x=2 Substituting y=3 Ans. x=2 y=3 “Oregonian.” MAXIMS IN FRENCH. On rabaisse souvent cc qu’on ne pent , atteindre. Los apparences sent trompeuses : bein fou quo s’y tie. Los lecons no corrigont pas los defauts naturels. La vraie amitio no saurait subsister qu’- entre egaux. II ne faut jamais rein entroprondre d’im- portant, sans on bien considorer los suites. TIMELY QUESTIONS. Among the timely questions discussed since our last issue are the following :— What is the Single Tax theory? Who is its most noted advocate? What taxes would the supporters of this theory have abolished? What is the “sweating” system? What distinguished English historian died recently ? PERSONALS. ’83 Miss Elbe Bowser. Jackson is with Copeland ’84 John B. Lewis, 3d, is completing his studies at Harvard College. ’86 Miss Helen Wilson and Miss Mary G. Wakefield are both teaching in this town. ’87 Will Killam is now employed on the ranch of P. It. Eames in Glendive, Mont. Miss Mamie Vermillc is with Copeland Bowser. ’89 Charles W. Parker recently read a very fine paper on “Honesty,” at the Guild of The Good Shepard. Arthur .1. Davis has been obliged to discontinue his studies at the Berkeley School, Boston, on account of trouble with his eyes. ’91 Miss Gertrude Dempsey has recently ac¬ cepted a position as teacher at the Haverhill Street School. Carl L. Mason is a window decorator in one of the leading grocery stores in Boston. M iss Mable Richardson is employed as