Good boys honour old men. Old men are honoured by good boys. Sound-minded young men get out of the way of old men. Follow, O friends, a good leader. We have good leaders. The people often follow bad leaders. God affords prosperity to the sound-minded. Lions are hunted by huntsmen. We worship the divinity.

To the previous examples belong the following substantives in ηρ, namely ὁ πατηρ, the father; ἡ μητηρ, the mother; ή θυγατηρ, the daughter ; ή γαστήρ, the belly; ἡ Δημητηρ, Demeter (Ceres in Latin); and ὁ ανηρ, the man; differing, however, from them in the omission of & in the genitive and dative singular and in the dative plural; also in the interposition of a Before σι of the dative plural, in order to soften the sound. The word avno (stem aveo), throws away thee in all the cases of the three numbers, except the vocative singular, and for the sake of sound introduces a δ: as appears from this tabular

view.

S. Ν.

obey their (the) father and mother. The citizens worship Ceres. Persephone follows Ceres. We admire the star. Be not ye, Ο huntsmen, slaves to the belly. A good mother loves a good daughter. O mother and father, love your children. The man is hated. They hate the man. They obey wise men. I follow Ceres. Often bad sons arise from a good father and mother.

REMARKS.

The Greek article has frequently the force of an English. possessive pronoun, when, from the nature of the sentence, no mistake as to the meaning can arise. Consequently, in such cases, when you translate into English, give the possessive pronoun for the Greek article, and when you translate into | Greek, give the article for the possessive pronoun.

SOLUTIONS.

[Although we have inserted a solution of Mr. Taylor's problem at p. 255, we are induced to add the following on account of its great ingenuity; besides, it gives some additional particulars of that problem.]

SOLUTION OF MR. TAYLOR'S QUESTION, p. 164, col. 1.

The areas of each person's share (a) being in proportion to the sums paid by them, the number of sixpences (s) in each sum will give these proportions in whole numbers, as follows; for their total being 1,600, we have 1600 : s :: 600 : a, or 8 : s :: 3 : α; and therefore a = 8. (1.)

Now let A B C, see fig., p. 255, col. 2, represent the triangular field, and CD its perpendicular. The length of CD is 24, A D 32, and DB 18. Also let P1, P2, P3, &c., be the perpendiculars between A and D ; and 41, 42, those between s and D. The length of the perpendiculars P1, P2, &c., will be in the same proportion to their distance from A, as cp is to A D, that is, as 24 is to 32, or as 3 is to 4. Now let x be the distance of any p from A, and y its height; then we have 3=4y, and xy=2d (d being the area of the triangle formed by the said a and y); therefore from these two equations 3 ; and as d = s, where s denotes the sum 8

ανηρ ανδρος θυγατρι ανδρι

θυγατέρα

we have x =

ανδρα θυγατερ ανερ θυγατέρες ανδρες θυγατέρων ανδρων θυγατρ-α-σι ανδρ-α-σι θυγατέρας ανδρας θυγατέρες ανδρες θυγατέρε ανδρε θυγατερον ανδρ-οιν

G.D. πατέρ-οιν The word αστήρ, ερος, a star, which otherwise retains the e of the stem, belongs to this class in consequence of having its dative plural in αστρασι.

VOCABULARY.

Περσεφόνη, ης, η, Persephone,
Proserpine.

Αθλον, ου, το, a prize gained
in the public games.

Σοφός, η, ον, wise.

Δουλευω, I am a slave, I serve.

Εχθαίρω, I hate.
Στεργώ, I love.

Χαίρω (d.) I rejoice at, delight

in.

Χαριζομαι, I show favour, gra-
tify.

EXERCISES. GREEK-ENGLISH.

Στέργετε τον πατέρα και την μητέρα. Μη δουλευε τη γαστρι. Χαίρε, ω φιλε νεανια, τῳ αγαθῷ πατρι και τη αγαθή μητρι. Μη συν κακῳ ανδρι βουλεύου. Δημητρί πολλοί και καλοί νες ησαν. Η αγαθη θυγατηρ ήδέως πείθεται τη φίλη μητρι. Οἱ αγαθοι ανδρες θαυμαζονται. Πολλάκις εξ αγαθου πατρος γίγνεται κακος υἱος. Εκθαίρω τον κακόν ανδρα. Τοις αγαθοις ανδρασι λαμπρα δόξα έπεται, Η Δήμητρος θυγατηρ ην Περσεφόνη. θυγατερ στεργε την μητέρα. Η αρετή καλον άθλον εστιν ανδρι σοφη. Οι αγαθοι υιοι τους πατέρας και τας μητέρας στεργουσιν. Οι Έλληνες Δημητερα σέβονται. Πείθεσθε, ω φίλοι νεανίαι, τοις πατρασι και ταις μητρασιν. Χαρίζου, ω φιλε πατερ, τη αγαθή θυγατρι.

(*) *

8
3

of the sixpences in each triangle, it follows that ==s, and x=vs. (.)

The perpendiculars 91, 92, are in proportion to their distance from B, as CD is to D B, that is, as 24 is to 18, or as 4 is to 3; and, proceeding as before, having 4x=3y and xy=2d we find x=

3 to 4, we have p = = and y = Δ.

From these formulæ are derived the following rules for solution:

1. To find each man's share of the field, take three-eighths of the number of sixpences paid by each.

2. To find the distance of the first perpendicular from the acutest angle of the field, take the square root of the number of sixpences in A's money.

3. To find the distance of the second, take the square root of the number of sixpences in a and B's money; of the third, the square root of the number in A, B, and c's money; and so on, up to the seventh perpendicular inclusive.

4. To find the distance of the last perpendicular from the other corner of the held. Having found the last share of the field by rule 1, take three-fourths of the square root of the number of sixpences in k's money.

5. To find the distance of the last but one from the same corner, take three-fourths of the square 1oot of the number of sixpences in K and 1's money; their two distances taken each from 50 will giv

O young men, love your father and mother. Good daughters the distances from the acutest angle of the field.

LITERARY NOTICES.

THE POPULAR

EDUCATOR.

6. To find the height of each perpendicular. For the first seven, take three-fourths of their distance from the acutest angle for their height. For the last two, take of their distance from the other corner of the field for their height. These rules give the following results :

SIR,-In your first lesson on Chemistry, you direct us to procure a quarter of a pound of the glass-tube termed "quilled." Now I have tried to get it everywhere in the town, and have been unsuccessful, as there seems to be no glass-tube known by that name in these parts. I have procured a barometer tube, but I know not whether that will do. If you will have the kindness to inform me what is meant by the term "quilled" in your next number, you will greatly oblige your attentive reader, WILLIAM DYER.

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N.D. Infirmary, Barnstaple, Devon. [The term "quilled" is applied to the thinnest variety of glass tubing. The diameter may be said, in general terms, to vary from that of a small tobacco-pipe-shank, or even smaller, to about half an inch, Barometer tubing is far too thick for several chemical purposes, and to work it requires practice and much address. We would suggest that, whenever possible, students working by these lessons should form class associations, and study in concert. Many advantages would result from this practice. One student may possess that which another requires. One student may see the rationale of a process which another does not immediately comprehend; and, more important still, the remembrance of phenomena would be impressed by discussion. There is yet another reason in favour of class associations, a reason which has reference to the future rather than the present. Qualitative chemistry does not require for its prosecution any expensive instruments: but quanti-H. Bridgeman, Esq., will be completed in Twenty-six Threepenny Numbers, tative chemistry requires a delicate balance, an instrument which cannot be procured for less than £20. Such an instrument may be readily purchased by an association, but the expenditure would be too great for many individuals.]

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WM. BALLPIN: The promise to publish a series of French works is not forgotten, though its fulfilment has been delayed by the press of other matters. The English of the sentence referred to is-"but I have not been able to do it."

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JOHN GREENGRASS: The subject of French pronunciation involves great practical difficulties, and cannot be taken in hand at present. However, we thank our correspondent for his suggestions, which may, perhaps, be turned to account at sorie future time.

ERRATA.

We regret to state that in No. 75 one or two misprints in the Greek Lessons escaped observation till it was too late to correct them. They are the following-p. 337, col. 2, last line, Oopaπevovoiy, which should have been depaπevovoiv, and p. 338, col. 1, line 4, ovog put erroneously for οινος. These mistakes will be rectified in the separate lessons.

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78