Liber Cantabrigiensis: An Account of the Aids Afforded to Poor Students, the Encouragements Offered to Diligent Students, and the Rewards Conferred on Successful Students, in the University of Cambridge; to which is Prefixed, a Collection of Maxims, Aphorisms, &c, Volume 2Printed at the University Press, 1863 |
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Page 3
... straight lines any two of which are together greater than the third . Whence arises the necessity for this ... line touching two given circles . 4. Is a ratio of greater inequality increased or diminished by adding the same quantity to ...
... straight lines any two of which are together greater than the third . Whence arises the necessity for this ... line touching two given circles . 4. Is a ratio of greater inequality increased or diminished by adding the same quantity to ...
Page 9
... straight line . 3. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base , the segments of the base shall have the same ratio which the other sides of the triangle have to one another ...
... straight line . 3. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base , the segments of the base shall have the same ratio which the other sides of the triangle have to one another ...
Page 11
... straight line which passes through the intersection of the lines x y + = α b y x 1 , + = 1 , b ' and also through the intersection of the lines х + 922 = 1 , a ' b X y + = 1 . a b - 2. Find the polar equation to a parabola when the ...
... straight line which passes through the intersection of the lines x y + = α b y x 1 , + = 1 , b ' and also through the intersection of the lines х + 922 = 1 , a ' b X y + = 1 . a b - 2. Find the polar equation to a parabola when the ...
Page 15
... straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . • In the figure of Euclid I ...
... straight line , two other straight lines , upon the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . • In the figure of Euclid I ...
Page 21
... straight line be divided into two equal and also into two unequal parts ; the squares of the two unequal parts are together double of the squares of half the line and of the square of the line between the points of section . = Shew that ...
... straight line be divided into two equal and also into two unequal parts ; the squares of the two unequal parts are together double of the squares of half the line and of the square of the line between the points of section . = Shew that ...
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admission admitted Algebra appointed assigned Bachelor of Arts Bachelor of Law Bachelor of Medicine benefice Cambridge certificate Church of England circle classical college examination degree of B.A. degree of Bachelor dividend Divinity divisible revenues Doctor of Medicine duties Easter Term election electors ellipse emoluments entitled equal equation Find foundation funds given governing body Grace hold Holy Orders income least lectures married master and fellows master and seniors Master of Arts Master of Laws mastership Mathematics Medicine names number of fellows parabola payments perpendicular person Previous Examination prize professorship Prose prove provost and fellows Regius Professor regulations reside in college retain his fellowship right angle scholars scholarships founded School Senate Shew sides sizars stipend straight line subjects for students tangent tenable think fit tion Translate triangle Trigonometry Tripos tutor University vacancy vacate his fellowship Vice-Chancellor vice-master vote καὶ
Popular passages
Page 18 - Virgin, of her substance : so that two whole and perfect Natures, that is to say, the Godhead and Manhood, were joined together in one Person, never to be divided, whereof is one Christ, very God, and very Man ; who truly suffered, was crucified, dead and buried, to reconcile his Father to us, and to be a sacrifice, not only for original guilt, but also for all actual sins of men.
Page 14 - Ye winds ! that have made me your sport, Convey to this desolate shore Some cordial endearing report Of a land I shall visit no more. My friends, do they now and then send A wish or a thought after me ? Oh, tell me I yet have a friend, Though a friend I am never to see.
Page 7 - Shall I compare thee to a summer's day? Thou art more lovely and more temperate: Rough winds do shake the darling buds of May, And summer's lease hath all too short a date...
Page 15 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Page 59 - While thus he spake, the angelic squadron bright Turn'd fiery red, sharpening in mooned horns Their phalanx, and began to hem him round With ported spears, as thick as when a field Of Ceres, ripe for harvest, waving bends Her bearded grove of ears, which way the wind Sways them ; the careful ploughman doubting stands, Lest on the threshing-floor his hopeful sheaves Prove chaff.
Page 67 - Survey'd ; and sometimes went, and sometimes ran With supple joints, as lively vigour led : But who I was, or where, or from what cause, Knew not. To speak I tried, and forthwith spake ; My tongue obeyed, and readily could name Whate'er I saw.
Page 19 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.
Page 4 - Queen's highness is the only supreme governor of this realm, and of all other her Highness dominions and countries, as well in all spiritual or ecclesiastical things or causes, as temporal...
Page 61 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 10 - If a solid angle be contained by three plane angles, any two of them are greater than the third.