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

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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

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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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THE riONEER. 35 book-keeper for Roth well Co., Arch St., Boston. Albert O. Wight is in Boston studying architecture with Mr. George E. Abbott. Miss Grace Bancroft and Miss Hattie Oakes are both employed at Damon’s, Reading. Frank Bcssom is with Copeland Bowser. Will DeRonde is employed by Charles Damon Co. ’92 Miss Beatrice Gilson is attending the high O O school at Wellesley Hills. ’93 Louis Milbury, is a necktie cutter at Joseph S. Temples. Fred Bent of ’88, and Wallace Roby of ’8(5, arc about to start for the West in com¬ pany with several other young men. They intend to work on a large sheep ranch. Miss Grace Twomblv of ’90, and Miss Frances Ruggles of ’91, are both employed at the Chronicle Office, Reading. ’94 Carl G. Parker is working for Albert Hallet, Printer, Arch Street, Boston. LOCALS. —The company now drills in the open air. —Annual prize drill April 29th, in Ly¬ ceum Hall. —The Hag has been repaired and will once more wave over our school house. — Walter Eaton has probably taken the first swim of the season. It was involun¬ tary, and consequently unsatisfactory. — ' fhe pupils have the use of Lyceum Hall to drill in until the prize drill, April 29th. Both girls and boys are improving this opportunity. —A class of six commenced this term the interesting study of Botany. —Henry Sanborn, R. II. S., ’91, recently took third prize in declamation at Dartmouth. His selection was, “Hannibal at the Altar.” —The Sophomore class has now a page of Caesar a day for a Latin lesson. In st me respects brilliant classes are unfortunate. —At the second soiree held Friday even¬ ing, March 11th, one of the features of the programme was a prize drill by a squad of picked men commanded by Capt. Ilawes. The silent drill was especially good and very interesting. The prize, a bouquet of pinks, was awarded to Private Sweetser. The judges were Capt. L. G. Bent, Ad j. W. A. Bancroft, Sergt. Maj. Ira C. Gray. —On Friday evening, April 1st, a number of scholars of the Reading High School at- tended the prize speaking contest of the Waltham High School, where Mr. Butler, formerly principal of the Reading school, is now teaching. Mr. Whittemore, the present principal, acted as chairman of the judges. —One of the boys had his razor stolen by burglars a short time since. Fora few days he was obliged to endure the most excrucia- ting torture. He’s all right now, however, for the burglar has returned the razor. He must have attempted to shave with it. —The prize declamation contest in Lyceum Hall, March 18th, was well attended, notwith¬ standing the disagreeable weather. The first prize for girls, $10, was awarded to Miss Blanche Copeland; the second, $5, to Miss Mabel Temple. Walter Eaton received the first prize, $10, offered to the boys, and James Killam, the second, $5. Miss Marion Dewey and Newell II. Hawes received hon¬ orable mention.