## Queen's scholarship examination. Amner's eight years' scholarship questions ... in Euclid, algebra, & mensuration1879 |

### Dentro del libro

Resultados 1-5 de 14

Página 9

...

...

**given**line . 3. Make a**triangle**of which the sides shall be equal to three**given**straight lines , but any two whatever of these must be greater than the third . Why is it made a condition in working this problem that any two of the**given**... Página 18

...

...

**triangle**of which the sides shall be equal to three**given**straight lines , but any two of which are together greater ...**triangle**are greater than the third side , and it can be easily seen by drawing the figure that a**triangle**... Página 28

...

...

**triangles**, both with respect to their sides ...**triangle**to the square on the hypotenuse . Propositions 35-48 . The last fourteen propositions ( 35-48 ) belong to the third part . SECTION II . 1. To bisect a**given**rectilineal angle 28. Página 29

...

...

**triangle**, and is therefore equal to the third part of two right angles , that is , the third part of 180 ° , or 60 ...**Given**two points . Find two other points that shall be at the same**given**distance from each of them . least ... Página 30

...

...

**given**distance C , therefore E and F are the two points required . Q.E.F. The least possible length of the**given**...**triangle**are greater than the third side . Construct the**triangle**when each side is equal to half the sum of the ...### Otras ediciones - Ver todas

Queen's Scholarship Examination. Amner's Eight Years' Scholarship Questions ... Joseph Wollman Sin vista previa disponible - 2015 |

### Términos y frases comunes

2ax² a²b a²x a²x² ABCD AC.CB acres acute angle ALGEBRA angle ABC angle AEB angle BAC ax² bisected breadth centre circle circumference co-efficient Completing the square diameter Dividing each side equal bases EUCLID factor find the area Find the G.C.M. four times sq given line given point given squares given straight line given triangle greater half the square hypotenuse inches isosceles triangle LONDON SCHOOL BOARD MENSURATION miles Multiplying each side Notes of Lessons number represented opposite angles parallelogram perpendicular proposition prove Pupil Teachers quadrilateral Queen's Scholarship rectangle contained rectangle HK rhombus right angles right-angled triangle Scholarship Examination SECTION Show square Extracting square on GH square root squares described triangle ABC triangle EOD triangle RMN twice rect twice the rectangle unequal x²y yards

### Pasajes populares

Página 64 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.

Página 80 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.

Página 60 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.

Página 48 - ... 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...

Página 82 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.

Página 60 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.

Página 45 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.

Página 32 - 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.

Página 13 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.

Página 30 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.