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

### Inni boken

Resultat 1-5 av 9

Side 6

A line which

that the triangle is isosceles . ... Show how to

is , to divide it into two equal angles . 10. To

A line which

**bisects**the vertical angle of a triangle also**bisects**the base . Provethat the triangle is isosceles . ... Show how to

**bisect**a given rectilineal angle , thatis , to divide it into two equal angles . 10. To

**bisect**a given finite straight line ... Side 7

Same proposition . If in a triangle the perpendicular from the vertex on the base

Same proposition . If in a triangle the perpendicular from the vertex on the base

**bisect**the base , the triangle is isosceles . ... If the angles are CBA , ABD , and BE**bisects**ABC , and BF**bisects**ABD , then FBE is a right angle . Same proposition . Side 8

Show that the two

angles of a triangle are together less than two right angles . 18. Give Euclid's

definition of ...

**Bisect**the angle ABC , produce the side AB to D , and**bisect**the angle CBD .Show that the two

**bisecting**lines are at right angles . 17. Prove that any twoangles of a triangle are together less than two right angles . 18. Give Euclid's

definition of ...

Side 9

A straight line is drawn

are formed by it and the sides of the parallelogram ( or those produced ) three

triangles which are isosceles . 28. Prove that if a straight line falling upon two

other ...

A straight line is drawn

**bisecting**an angle of a parallelogram : prove that thereare formed by it and the sides of the parallelogram ( or those produced ) three

triangles which are isosceles . 28. Prove that if a straight line falling upon two

other ...

Side 10

In the triangle ABC , AD

parallel to AC , AB respectively , meet AB , AC in E , F. Show that DE , DF are

equal . Same proposition . AB is parallel to CD , AD is bisected in E : show that

any ...

In the triangle ABC , AD

**bisecting**the angle BAC meets BC in D , and DE , DFparallel to AC , AB respectively , meet AB , AC in E , F. Show that DE , DF are

equal . Same proposition . AB is parallel to CD , AD is bisected in E : show that

any ...

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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.