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

### Inni boken

Resultat 1-5 av 7

Side 3

The deductions

The deductions

**given**at the end are deductions which , in the Examination Papers , were**given**independently , not being appended to any proposition . Along with the propo- sitions , however , many ... Define a plane**rectilineal**... Side 4

Explain clearly why the following definition is insufficient : -'A plane

Explain clearly why the following definition is insufficient : -'A plane

**rectilineal**angle is the inclination of two ... Explain the following terms**given**in Euclid : -Pro- position , problem , theorem , enunciation , hypothesis , axiom ... Side 6

What name is given to a triangle which has two sides equal ? ... Give the steps necessary to prove this property . Same proposition . ... Show how to bisect a

What name is given to a triangle which has two sides equal ? ... Give the steps necessary to prove this property . Same proposition . ... Show how to bisect a

**given rectilineal**angle , that is , to divide it into two equal angles . 10. Side 8

**Give**Euclid's definition of a plane**rectilineal**angle and of a triangle . ... Hence show that the perpendicular is the shortest straight line that can be drawn from a**given**point to a**given**straight line . 20. Side 9

Show how at a given point in a given straight line to make a rectilineal angle equal to a

Show how at a given point in a given straight line to make a rectilineal angle equal to a

**given rectilineal**angle . 24. If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle contained ...### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

Adopted ALGEBRA angle contained angle equal Answers Arithmetic arranged axiom base bisect bound Cards circle cloth complete Deductions 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 point given straight line graduated GRAMMAR AND ANALYSIS greater half Head Master HUGHES'S 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 postulate 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 TEST third triangle ABC twice whole line 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.