## ResponsionsOsford University Press, 1863 - Education, Higher |

### From inside the book

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**base**of that which has the greater angle shall be greater than the**base**of the other . 3. In obtuse - angled triangles , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square on the ... Page 8

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**base**, and between the same parallels , are equal to one another . V. Algebra . 1. If a = b = c = 1 , find the numerical value of I I I a2 + + b2 C2 a3 + b3 + c3 - 3abc I I I + b + c a + + b с 2. Multiply together 3. Divide a2 ... Page 7

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**base**of an isosceles triangle are equal to each other ; and if the equal sides be produced , the angles on the other side of the**base**shall be equal . 3. If one side of a triangle be produced , the exterior angle is greater than either ... Page 6

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**bases**equal : the angle which is contained by the two sides of the one shall be equal to the angle contained by the two sides equal to them of the other . 3. If a straight line be divided into two equal Responsions , Page 7

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**bases**, and between the same parallels , are equal to one another . 7. If a straight line be bisected , and ...**base**of the other . 9. Required , to describe a parallelogram equal to a given rectilineal figure , and having an ...### Common terms and phrases

116 HIGH STREET angle contained angles equal aorist BALFOUR STEWART Book are required cent Cicero CLARENDON PRESS DEPOSITORY CLARENDON PRESS SOLD dative decimal DEPOSITORY 116 HIGH Describe a parallelogram Euclid EURIPIDES exterior angle Extract the square feet Find the G. C. M. Find the square Find the value French Language given rectilineal angle given rectilineal figure given straight line Greek half the line INUS TIO ILLV Latin Prose line be divided lowest terms Michaelmas Term N. B. Two Propositions obtuse angle OXFORD EXAMINATION PAPERS parallelogram perf plur pres PRESS DEPOSITORY 116 Propositions at least rectangle contained right angle sesterces side subtending Simplify sing Sophocles square on half square root squares described subj subjunctive TIO ILLV MEA Translate into Latin Trinity Term twice the rectangle University EXAMINATION PAPERS vulgar fraction whole line yards δὲ Καὶ μὲν οἱ وو

### Popular passages

Page 3 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.

Page 6 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...

Page 7 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.

Page 7 - Then with a grim and surly voice he bid them awake, and asked them whence they were and what they did in his grounds. They told him they were pilgrims and that they had lost their way. Then said the giant, You have this night trespassed on me by trampling in and lying on my grounds, and therefore you must go along with me.

Page 7 - ... subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.

Page 2 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.

Page 6 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.

Page 2 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.

Page 2 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.

Page 7 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.