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

### Inni boken

Resultat 1-5 av 5

Side 5

Draw the figure when the equilateral triangle is described on the side of the

opposite to that taken in your construction . Same proposition . If you are able ,

prove this proposition by

is ...

Draw the figure when the equilateral triangle is described on the side of the

**line**opposite to that taken in your construction . Same proposition . If you are able ,

prove this proposition by

**joining**the point to the extremity of the given**line**whichis ...

Side 6

If two circles cut each other , the

perpendicular to the

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

sides of the ...

Side 11

The straight lines which join the extremities of two equal and parallel straight

lines towards the same parts , are also ... in C : show that if the parallelograms

AOBP , DOCQ be completed , the straight

34.

The straight lines which join the extremities of two equal and parallel straight

lines towards the same parts , are also ... in C : show that if the parallelograms

AOBP , DOCQ be completed , the straight

**line joining**P and Q passes through O.34.

Side 12

Any point P is taken in the

middle point of the opposite side BC : prove that the triangles APB and APC are

equal . 38. Triangles upon equal bases and between the same parallels are

equal to ...

Any point P is taken in the

**line joining**an angular point A of a triangle to themiddle point of the opposite side BC : prove that the triangles APB and APC are

equal . 38. Triangles upon equal bases and between the same parallels are

equal to ...

Side 15

The three

opposite sides intersect in one point , and bisect the triangle . 15. Describe a

circle which shall pass through two given points , and have its centre in a given

line ...

The three

**lines joining**the angular points of a triangle with the middle point of theopposite sides intersect in one point , and bisect the triangle . 15. Describe a

circle which shall pass through two given points , and have its centre in a given

line ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### 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.