someone every t om to ........ ......... ............ II ............... I 2 .... 13 .. II ..... I2 ..... 13 ... 14 ............... 15 ............... ......... 17 ... ... ... ...... ........ 5 com begge Feu ce año votter yt. Nam to bot 14 ......... BOOK II. 19 .... 20 .... 21 ....... ........... ........... ............... 26 ... 3 and Sup. (25) 27 ............... 20 .................. 20 .. Sup. (22) .. Lemma. .......... 24, 30 ............... 23 ...... I ............... I ........... I 2 or a 2 orc 2 orc ........, 2 or 0 ......... 2 or 9 ........, 2 or I. m IO .........2 or I. m II ..... I 2 ... ........ 14 ........ d (v1,5) 36 ... ... ...e (V1, 5) .......... e (v1.5) xiii TABLE II. For Comparison with Euclid. Euclid. E.G. | Euclid. E.G. | Euclid. E.G. Book IV. BOOK VI. Book XI. Sol. Geo. I ......... 0 (v. I) .............. 1 2 ... ... ... ... 2, 3 ............... ovat ene na 5 5 o o con gent Denn navage 10.. IO ............ II. C ............... II 13 ............... 13 14 ............... 12 15 ... 10 and 111. H 16 ... 10 and 111.L IO ... iii. II ... o 14 ... 14 ... ...... 605 Gent to p BOOK V. ... BOOK XII. BOOK VI. ....... I .............., II 2 ............... 12 .? 16 ................. ............... 31 .. .......... 32. ......... SCHEME FOR EXAMINATION ON GEOMETRY. Extent of Examination. Proofs allowed. All those portions off Proofs of Euclid or others Euclid required by the Uni- depending on previous proversities. {positions of Euclid. Also those Propositions In the proofs sent up (if on Proportion required for not Euclid's Book V.) the Euclid VI, XI, XII, estab- Definitions and Enunciations lished for the particular Geo- of previous Theorems on metrical magnitudes to which Proportion made use of to they are applied. Lbe stated. With regard to Euc. 1. Any proofs allowed, the 29, 30. *Axiom or Lemma on which (they depend being stated. s Any proofs allowed, the With regard to Euc. VI. Definition or test of Pro1. 33. Lportion being stated. N.B. When the Examiner wishes for other proofs than the above, the necessary restrictions and allowable assumptions may be given in the question. PRELIMINARY NOTICES. The following symbols will be used simply in lieu of the words to which they are here prefixed. z angle. + together with. The object aimed at is merely to place before the student the various steps of an argument in a more succinct form by curtailing the verbiage, thus enabling him to take in at a glance the outline of a proof. It must however be borne in mind that the words themselves must be substituted in any examinations in which symbols are objected to. It will be assumed as self-evident that: Things which are equal to the same thing are equal to one another. The whole is equal to the sum of its parts. If equals be taken from unequals the remainders are unequal. Things which are double of equal things are equal to one another. Things which are halves of equal things are equal to one another. Equimultiples of equal things are equal. Things, of which the equimultiples are equal, are themselves equal. If one magnitude be greater than another any multiple of the former is greater than the same multiple of the latter. If a multiple of one magnitude be greater than the same multiple of another then the former magnitude is greater than the latter. ERRATA. P. 12, l. 7, for equal circles read Os having equal radii. , 24, 1. 10 and p. 27, 1. 20, 22, for has been read is. 38, l. 4, for FE read FG. 107, , 6, for divides read divide. , 129, , 1, add if possible, let them bisect each other; , 131, , 13, omit to it. » 201. In the diagram the diagonal of 0 FB is AC. |