## A complete set of male pupil teachers' examination questions in Euclid [book 1,2] to September 1879 |

### Inni boken

Resultat 1-5 av 6

Side 5

What figure is that of which the diagonals are equal , but do not

angles ? Propositions I.-XV. ( inclusive ) . 1. Describe an equilateral triangle on a

given finite straight line . Same proposition . Is the demonstration direct or ...

What figure is that of which the diagonals are equal , but do not

**intersect**at rightangles ? Propositions I.-XV. ( inclusive ) . 1. Describe an equilateral triangle on a

given finite straight line . Same proposition . Is the demonstration direct or ...

Side 6

If two circles cut each other , the lines joining their points of

perpendicular to the line joining their centres . Same proposition . From every

point of a given line , the lines drawn to each of two given points on opposite

sides of the ...

If two circles cut each other , the lines joining their points of

**intersection**isperpendicular to the line joining their centres . Same proposition . From every

point of a given line , the lines drawn to each of two given points on opposite

sides of the ...

Side 11

ABCD is a parallelogram whose diagonals AC , BD

the parallelograms AOBP , DOCQ be completed , the straight line joining P and Q

passes through O. 34. Define a parallelogram and its diameter . Show that the ...

ABCD is a parallelogram whose diagonals AC , BD

**intersect**in C : show that ifthe parallelograms AOBP , DOCQ be completed , the straight line joining P and Q

passes through O. 34. Define a parallelogram and its diameter . Show that the ...

Side 12

Show that CD and BE are trisected at their point of

proposition . ABC , ABD are two equal triangles on the same base and on

opposite sides of it . If CD meets AB in E , then CE , ED are also equal . 39. Equal

triangles upon ...

Show that CD and BE are trisected at their point of

**intersection**. Sameproposition . ABC , ABD are two equal triangles on the same base and on

opposite sides of it . If CD meets AB in E , then CE , ED are also equal . 39. Equal

triangles upon ...

Side 14

The sum of the diagonals of a quadrilateral is less than the sum of any four lines

that can be drawn from any point whatever ( except the

diagonals ) to the four angles . 9. Prove that the sum of the distances of any point

from ...

The sum of the diagonals of a quadrilateral is less than the sum of any four lines

that can be drawn from any point whatever ( except the

**intersection**of thediagonals ) to the four angles . 9. Prove that the sum of the distances of any point

from ...

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### Vanlige uttrykk og setninger

angle contained angle equal Answers Arithmetic arranged axiom base bisect bound Cards circle cloth complete Define definition describe diagonals diameter difference drawn Easy EDITION Educational English Euclid EXAMINATION QUESTIONS examples excellent Exercises Explain exterior angle figure formed four Geography Give given line given point given rectilineal given straight line graduated Grammar and Analysis greater half Head Master HUGHES'S Illustrated inclusive INFANTS Inspectors interior intersect isosceles triangle JOSEPH HUGHES kind less Lessons letters line be divided line joining little book LONDON meet numerous obtuse angle opposite angles opposite sides packet parallel parallel straight lines parallelogram perpendicular plane position Price problem produced proposition Prove Pupil Teachers READING recommend rectangle contained rectilineal angle requirements right angles rules says School Board Schoolmaster Series Shilling Show sides equal six Standards specially square STORIES strongly taken third triangle ABC twice writes young

### Populære avsnitt

Side 8 - 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...

Side 12 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.

Side 17 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Side 19 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Side 9 - Whoever wishes to attain an English style, familiar but not coarse, and elegant but not ostentatious, must give his days and nights to the volumes of Addison...

Side 10 - 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.

Side 18 - In every triangle, the square on the side subtending an acute angle, is less than the squares on 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 on it from the opposite angle, and the acute angle.

Side 13 - 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.

Side 12 - TRIANGLES upon the same base, and between the same parallels, are equal to one another.

Side 10 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A, parallel to the straight hue BC. In BC take any point D, and join AD; and at the point A, in the straight line AD, make (I.