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history than that beautiful and expressive sentence of his own, in which he says, power may be dreaded; riches may be courted; wit and knowlege may be admired; but only goodness is truly esteemed and honored."*

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LIST OF DR. BARROW'S WORKS.

1. Euclidis Elementa: Cantabrigiæ, 1655, et sæpius, 8vo. Afterwards translated into English, and published, London, 1660. &c.

2. Euclidis Data: Cantabrigiæ, 1657. This was subjoined to the Elements in some subsequent Editions.

3. Lectiones Opticæ XVIII; Cantabrigiæ, in scholis publicis, habitæ, &c. Londini, 1669. 4to.

4. Lectiones Geometrica XIII. Londini, 1670. 4to.

5. Archimedis Opera, Apollonii Conicorum libri IV. Theodosii Sphærica, &c. Londini, 1675. 4to.

The following were published after his decease.

1. Lectio, in qua Theoremata Archimedis de sphæra et cylindro &c., exhibentur: Londini, 1678. 12mo.

2. Mathematicæ Lectiones, habitæ in Scholis publicis Academiæ Cantabrigiensis, &c. Londini, 1683. 8vo.

3. The English Works of Dr. Barrow, edited by Dr. John Tillotson, with a Preface by A. Hill, Esq., in three vols. London, 1683. &c. folio.

The First Volume contains,

Thirty-two Sermons on several occasions.

A brief exposition of the Creed, the Lord's Prayer, the Decalogue, and the doctrine of the Sacraments.

A treatise of the Pope's Supremacy.

A discourse concerning the Unity of the Church.

The Second Volume contains,

Sermons and Expositions on all the articles of the Apostles' Creed.

The Third Volume contains,

Forty-five Sermons on several occasions.

4. Isaaci Barrow, S.S.T. professoris Opuscula, &c. Londini, 1687.

* Serm. iv. p. 98.

folio. This is called Volumen quartum, though printed after the three preceding Volumes.

5. There are two letters written by him to Mr. Willughby, and printed in the Philosophical Letters between Mr. Ray and his correspondents, pp. 360. 362.

Dr. Ward also informs us* that W. Jones, Esq. communicated to him several curious papers of Dr. Barrow, written in his own hand, of which he gives the following account.

1. A Latin Volume in 4to. wherein are contained,
Compendium pro tangentibus determinandis.
Æquationum constructio per conicas sectiones.
Æquationum constructio geometrica.

Additamenta de curvis.

Which tracts seem to have been written before the publication of his Lectiones Geometricæ.

2. Theorema generale ad lineis curvis tangentes, et curvarum figurarum areas, per motum determinandas: folio: half a sheet.

3. Letters to Mr. John Collins on various mathematical subjects.

Concerning parabolical conoids, without a date.

Rectifying a mistake of Mr. Collins, concerning the parallel sections of the cubical parabolical conoid. Without a date.

Rules to compute the portions of a sphere or spheroid. Sept. 5.

1664.

A character of Mengolus's Elementa Geometriæ Speciosa, with whom he is displeased for his affectation of new definitions and uncouth terms. Nov. 12. 1664.

He thanks him for a catalogue of mathematical books, which he sent him gives a character of Alsted's Admiranda Mathematica, which he thinks a work of no great importance. Nov. 29. 1664. Concerning a parabolical conoid, cut parallel to the axis. Jan. 9.

1664.

About printing his Archimedes, Apollonius, and Theodosius, as also a new edition of his Euclid. March 3. 1665.

Concerning the area of the common hyperbola, found by logarithms. Feb. 1. 1666.

Containing a variety of rules relating to the circle and hyperbola, with theorems concerning the curve surfaces of conoids and spheroids. March 6. 1667.

A continuation of the same subject. March 26. 1668.

A further continuation of it. May 14. 1668.

* Lives of Gresham Professors, p. 166.

Concerning the linea secantium. With two papers; one of the figure of secants and tangents, applied to the arch, or radius; the other concerning the cissoidal space. March 13. 1668.

Concerning the publication of his Lectiones Opticæ. Dat. Easter Eve, 1669.

inserted in his Lectiones GeoMarch 29. 1670.

Sends him some few things to be metrica, which were then printing. Concerning the publication of those Lectures. April 23. 1670. Sends him his Apollonius and Perspective Lectures. Oct. 11. 1670.

In addition to the above there is in the Public Library at Cambridge, a volume in 8vo. marked Dd. xiv. 9. containing Sermons and Fragments. This Ms. came into its present place with the other Mss. and books of Bishop Moore presented by George I. to the University. The following note appears written at the beginning: "Hic Liber, ut ex manu videtur, fuit viri doctissimi Isaaci Barrow." When I compared its writing with undoubted autographs of Barrow, in company with Mr. Lee, Fellow of Trinity College, who has devoted much time and labor to the completion of a catalogue of Barrow's works, in the library of his own college, neither that gentleman nor myself had any doubt but that the writing in question was Barrow's.

The library of Trinity College contains thirteen Ms. Vols. of Barrow's works, published and unpublished, most of the former being in their primitive state, varying from the printed editions, or rough draughts of what afterwards were expanded into Sermons, &c. Among the latter is an extraordinary number of extracts from Demosthenes, Eschines, Plutarch, Cicero, &c., as well as from the Christian fathers; pages of detached sentences for the treatise on the Pope's supremacy, &c.; arguments on several questions in the Divinity Schools; miscellaneous notes, and references to the New Testament, &c. But the most valuable of these volumes is that containing four sermons, in the first page of which is the following note: "Dr. Isaac Barrow's sermons preached in 1676. Preached by him." The hand-writing is very large, and decidedly not that of Barrow.

SERMON S.

BAR.

SUMMARY OF SERMON I.

PROVERBS, CHAP. III.-VERSE 17.

MEANING of the words of the text: by wisdom is understood an habitual skill or faculty of judging aright about matters of practice, choosing according to that right judgment, and conforming the actions to such good choice. Ways and paths in Scripture dialect are the courses and manners of action by pleasantness may be meant the joy and delight accompanying a course of such actions, and by peace the content and satisfaction which ensue from it. So that the text may be taken simply to represent unto us, that a course of life directed by wisdom and good judgment is delightful in the practice, and brings content after it. This proposition is confirmed by divers reasons, and illustrated by several instances.

I. It is shown that wisdom is of itself delectable and satisfactory, as it implies a revelation of truth, and a detection of error to us; as it satisfies our best desires, not by entertaining us with dry, empty, and fruitless theories on mean and vulgar subjects, but by enriching our minds with excellent and useful knowlege, directed to the noblest objects, and serviceable to the highest ends.

II. Much more in its consequences is wisdom exceedingly

VOL. I.

A

pleasant and peaceable: in general, by disposing us to acquire and to enjoy all the good and happiness we are capable of; and by freeing us from the inconveniences and mischiefs to which our condition is subject, &c.: more particularly,

III. Wisdom assures us that we take the best course, and proceed as we ought: for by the same means we judge aright, and reflecting on that judgment, are assured we do so. Wisdom therefore frees us from the company of anxious doubt in our actions, and the consequence of bitter repentance.

IV. Wisdom begets in us a hope of success in our actions, and is usually attended therewith: but what is more delicious than hope? what more satisfactory than success?

V. Wisdom prevents discouragement from the possibility of ill success; yea, and makes disappointment itself tolerable. However the irresistible power of divine Providence, guided by the unsearchable counsel of his will, may interpose to thwart our endeavors; yet when we act prudently, we have no reason to be disheartened, because, having had good intentions, having used fit means, and having done our best, as no deserved blame, so no considerable damage can arrive to us: and though we find that Almighty God has crossed us, yet we are sure he is not displeased with us. The best and wisest attempts have oftentimes miscarried: instances given from Moses, and the holy prophets, and our Saviour. But farther,

VI. Wisdom makes all the troubles, griefs, and pains incident to life, whether casual adversities or natural afflictions, easy and supportable, by rightly valuing the importance and moderating the influence of them, &c.

VII. Wisdom has always a good conscience attending it, that purest delight and richest cordial of the soul; that impregnable fortress against external assaults and inward commotions; that certain friend, which, as Solomon observes, renders a man's sleep sweet; &c.

VIII. Wisdom confers on its possessor a facility, expert

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