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

### From inside the book

Page 7

... state the three postulates .

... state the three postulates .

**2**. If**two**triangles have**two**sides of the**one equal to two**sides of the**other**,**each to each**, but the**angle**con- tained by the**two**sides of**one**of them greater than the**angle**contained by the**two**sides**equal**to ... Page 7

... state the three postulates .

... state the three postulates .

**2**. If**two**triangles have**two**sides of the**one equal to two**sides of the**other**,**each to each**, but the**angle**con- tained by the**two**sides of**one**of them greater than the**angle**contained by the**two**sides**equal**to ... Page 7

...

...

**two**straight lines will meet , and when**two**straight lines will be in**one**and the same straight line . 4. To a given right ...**one**of its**angles equal**to a given rectilineal**angle**. 10. In obtuse - angled triangles , if a perpendicular ... Page 7

...

...

**1**. Define - plane**angle**, right**angle**, polygon , scalene triangle ; and explain what is meant by postulates and axioms .**2**. The**angles**at the base of**an**isosceles triangle are**equal**to**each other**; and if the**equal**sides be produced , the ... Page 8

University of Oxford. 5. If a straight line falling on

University of Oxford. 5. If a straight line falling on

**two other**straight lines , make the alternate**angles equal**to**each other**; these**two**straight lines shall be parallel . 6. The**opposite**sides and**angles**of a parallelogram are**equal**to ...### Common terms and phrases

116 HIGH STREET acres active AESCHYLUS Algebra amount angles equal Arithmetic base cent CLARENDON PRESS DEPOSITORY CLARENDON PRESS SOLD cost decimal Describe difference Edited English equations Euclid EXAMINATION PAPERS Express falls feet Find the G. C. M. Find the square Find the value fraction Gerundive Give given straight line Grammar greater Greek half the line History income indic interest Introductions invests Latin Prose line be divided Michaelmas Term miles Multiply Notes obtuse angle opposite Oxford parallel parallelogram pass perf perfect perpendicular person plur pres present PRESS DEPOSITORY 116 produced rectangle contained Reduce RESPONSIONS right angle Second sent shilling sides Simplify sing Solve square root subj Translate into Latin triangle Turn twice the rectangle unequal University whole line wide Write yards δὲ Καὶ μὲν

### Popular passages

Page 7 - 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 2 - 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 3 - 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 3 - 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 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 10 - 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 3 - 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.