## A graduated course of problems in practical plane and solid geometry |

### Inni boken

Resultat 1-5 av 21

Side

It will be

exceedingly numerous , they are classified in sections . The definitions which

precede the several sections , should be thoroughly mastered by the pupil before

...

It will be

**seen**that though the problems in the Plane portion of the work areexceedingly numerous , they are classified in sections . The definitions which

precede the several sections , should be thoroughly mastered by the pupil before

...

Side 2

A horizontal line , as its name implies , is perfectly level , like the natural horizon

when

upright , like a plumb - line . Ex . AB7 . An oblique line is neither horizontal nor ...

A horizontal line , as its name implies , is perfectly level , like the natural horizon

when

**seen**from the midst of the ocean . Ex . ABB 6 . A vertical line is perfectlyupright , like a plumb - line . Ex . AB7 . An oblique line is neither horizontal nor ...

Side 138

It can be readily

a half of the parallelogram DBCP . The parallelograms , standing on the same

base BC , are equal , therefore the triangles are equal , as “ the halves of equal ...

It can be readily

**seen**that ABC is a half of the parallelogram EBCA , and DBC isa half of the parallelogram DBCP . The parallelograms , standing on the same

base BC , are equal , therefore the triangles are equal , as “ the halves of equal ...

Side 139

From the foregoing notes the truth of the following theorem will be readily

E . ) “ If a parallelogram and a triangle be upon the same base and between the

same parallels , the parallelogram shall be double of the triangle " ( in area ) .

From the foregoing notes the truth of the following theorem will be readily

**seen**:(E . ) “ If a parallelogram and a triangle be upon the same base and between the

same parallels , the parallelogram shall be double of the triangle " ( in area ) .

Side 144

By the last problem it will be

equal in area to a given - - - - - - - - - - - - - - - - circle by making two of its sides , FG

and KH , equal to the length of half its circumference as ED , and the other two

sides ...

By the last problem it will be

**seen**that a rectangle FGHK can be constructedequal in area to a given - - - - - - - - - - - - - - - - circle by making two of its sides , FG

and KH , equal to the length of half its circumference as ED , and the other two

sides ...

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### Vanlige uttrykk og setninger

altitude arc cutting Atlas axis base bound called centre circumference cloth complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs determine diagonal distance divide division draw a line draw lines drawn edge elevation ellipse equal equal in area equilateral triangle extremities face figure four given circle given line given point given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length lines parallel Maps mark meeting NOTE obtain parallel parallelogram pass pentagon perpendicular Philips plane of projection polygon prism Problem produced projection projectors pyramid radii radius rectangle rectilineal figure regular represent required circle respectively right angles scale seen semicircle sides similar solid square tangent touching traces trapezium vertical plane

### Populære avsnitt

Side 295 - Philips' Preparatory Atlas, Containing Sixteen Maps, full colored. Crown quarto, in neat cover, 6d. Philips Preparatory Outline Atlas. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Preparatory Atlas of Blank Projections. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Elementary Atlas for Young Learners.

Side 294 - Young Student's Atlas, Comprising Thirty-six Maps of the Principal Countries of the World, printed in colors. Edited by W. Hughes, FRGS Imperial 41.0., bound in cloth, 33. 6d. Philips Atlas for Beginners, Comprising Thirty-two Maps of the Principal Countries of the World, constructed from the best authorities, and engraved in the best style. New and enlarged edition, with a valuable Consulting Index, on a new plan.

Side 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.

Side 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.