INTUITIVE ARITHMETIC, THE READIEST AND MOST CONCISE METHOD OF CALCULATION DESIGNED FOR THE USE OF ALL CLASSES, UNDER THE SPECIAL PATRONAGE OF HER MOST GRACIOUS MAJESTY THE QUEEN, BY DANIEL O'GORMAN, TEACHER, DURHAM. SECOND EDITION, GREATLY ENLARGED, WITH THE GROUND-WORK OF A MECHANICAL AND W. AINSLEY, SADLER STREET; AND WEBB & MILLINGTON, BRIGGATE, LEEDS. MDCCCXLVII. Price Two Shillings and Sixpence. THE QUEEN'S APPROBATION AND PATRONAGE On receipt of a copy of the work, Her Majesty was pleased to make the following gracious reply : : "Miss Skenett begs to inform Mr. O'Gorman, that Her Majesty re"ceived the Arithmetic Book which he sent. H.M. thinks it is a book 66 likely to be of great service in teaching ready calculations. "Her Majesty was graciously pleased to accept of the copy. "Buckingham Palace, 7th Feb., 1846." "Mr. D. O'Gorman, Teacher, Durham." OPINIONS OF THE PRESS. "We have been much pleased with a glance of a new and instructive Arithmetic recently published by Mr. O'Gorman, a teacher, of the city of Durham. The old round-about mode of arriving at results receives no favour at the hands of this author; he goes at once by a species of mental calculation to the point; and a question which formerly occupied half an ordinary school slate for its solution, is satisfactorily answered by this method in one line. The rules, too, are given in a very brief and explicit manner, and the pupil is made to understand the 'why and wherefore' of the rule, by the accompaniment of a reason, which is an altogether novel, as it is also a very important feature; the rule and the reason thus becoming inseparably impressed on the mind of the pupil. That it will, at no distant date, become the tutor's assistant of the many, we opine there can be no doubt."-Tyne Mercury, Dec. 3rd. 1845. "This is a work designed for the use of all classes, and intended to provide the most concise mode of calculation ever published. The system is novel and unique.”—Durham Chronicle, Dec. 5th, 1845. "We can recommend this work as containing several very useful rules which very considerably shorten the calculations which every one is obliged to make in transacting the ordinary business of life. the plan of the treatise is both new and ingenious; and it is free from the common fault of short and easy methods' a tendency to give a merely superficial acquaintance with the subject treated of." -Durham Advertiser, Dec. 12, 1845. "ROYAL ROAD TO ARITHMETIC.-Mr. O'Gorman, a teacher of the city of Durham, published, about a month ago, an Intuitive Arithmetic-an ingenious work, showing the readiest methods of arriving at conclusions, which was favourably received at the time by several local papers. Mr. O'G. forwarded a copy of the book elegantly bound in morocco, to the Prince of Wales through her Majesty, on New Year's Day. Her Majesty was graciously pleased to accept the present, and has, in the most amiable manner, condescended to express her opinion of its merits. Her Majesty's eriticism will, we have little doubt, sell an extra edition or two of this work; and we understand a second edition is nearly ready for the press.” — Tyne Mercury, 11th Feb. 1846. “ÂMIABLE CONDUCT of Her Majesty to a ResiDENT OF THIS CITY.-Her Majesty has been pleased to receive the Book, and has in the most handsome manner expressed her high opinion of the merits of the work. Such a criticism from the most illustrious personage in the realm, must go far to render the work universally sought after, and a second edition is already, we understand, in the press.”—Durham Chronicle, Feb. 13, 1846. "Mr. O'Gorman, teacher, of the city of Durham, published, lately a new Intuitive Arithmetic, a copy of which, richly bound in morocco, he sent as a New Year's offering to the young Prince of Wales, through her Majesty. On the 8th inst. he received a reply, acknowledging the receipt and acceptance of the present accompanied by a flattering notice of the merits of the book.”—Newcastle Journal, Feb. 21, 1846. "Some short time ago Mr. O'Gorman, a teacher, of the city of Durham, published an Arithmetic, shewing a simple and ready mode of performing various calculations. The author sent a copy of his new work as a New Year's present to the young Prince of Wales. About a month ago Mr. O'Gorman received an acknowledgment from her Majesty, which perhaps is the first instance on record of a testimonial being given by the most illustrious personage of the realm on the merits of a book."—Sunderland Herald. "This is one of the simplest and shortest systems of popular Arithmetic that we ever met with. To those who have the painful remembrance that we have, of the labour which it costs boys to work the old rule of three problems, according to Gough or Cocker, this little volume will appear one of the treasures of the rising generation. Many of the rules for solving with certainty, and in an instant, the most complicated Arithmetical questions, are so simple, that a child may comprehend them. The work is really a marvel of ingenuity."-Hull Advertiser, August 21, 1846. "We would direct attention to the announcement of O'Gorman's Intuitive Arithmetic. The high approvals which it has met with, in most distinguished quarters, stamps it as a work of great utility.”" -Hull Packet, August 21st, 1846. TO HIS ROYAL HIGHNESS FRANCIS ALBERT AUGUSTUS CHARLES EMANUEL, DUKE OF SAXE, PRINCE OF SAXE COBURG AND GOTHA, KNIGHT OF THE MOST NOBLE ORDER OF THE GARTER, &c. &c. MOST NOBLE PRINCE, ALL who know any thing of your exalted station, your many virtues, and your truly estimable character, will admit, that I could not choose a more Excellent Patron, under whose fostering protection I might publish the following work, than your Eminence, who has distinguished yourself in the most considerable instances as a Gentleman of a generous and public spirit; a lover and promoter of every thing which appears useful for cultivating the Arts and Sciences, advancing the good of Mankind, or which may contribute more to the honor and prosperity of the English Nation. The encouragement of your Highness in the cultivation of modern Arts and Science, and the constancy and resolution with which you lend your powerful aid in supporting projects for promoting the interests of the English People, are evidences of a good and benevolent disposition, as your admired and celebrated conduct in the more public scenes of action, is, of a mind possessed with a passion for things truly great and noble. |