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

### Inni boken

Resultat 1-5 av 23

Side 23

The altitude of a triangle is its perpendicular

perpendicular drawn from the vertex to the base , or to the base produced . Ex .

AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an

equilateral ...

The altitude of a triangle is its perpendicular

**height**, i . e . , the length of aperpendicular drawn from the vertex to the base , or to the base produced . Ex .

AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an

equilateral ...

Side 24

To construct an equilateral triangle having a given

extremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .

From A as centre with any radius , describe a semicircle cutting CAD in C and D .

3 .

To construct an equilateral triangle having a given

**height**ABE B F 1 . From theextremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .

From A as centre with any radius , describe a semicircle cutting CAD in C and D .

3 .

Side 187

... plan , and shows the length and breadth ; the latter is termed the elevation ,

and shows the length and

illustrations , it will be more readily seen what is understood by plan and

elevation.

... plan , and shows the length and breadth ; the latter is termed the elevation ,

and shows the length and

**height**. 4 . From a consideration of the followingillustrations , it will be more readily seen what is understood by plan and

elevation.

Side 194

Then the points A ' A are the ele— a vation and plan of a point in space , the

which from the vertical plane is equal to Aa . Problem 2 . To draw the plan of a

line , its ...

Then the points A ' A are the ele— a vation and plan of a point in space , the

**height**of which above the horizontal plane is equal to A ' a , and the distance ofwhich from the vertical plane is equal to Aa . Problem 2 . To draw the plan of a

line , its ...

Side 198

Problem 7 . To find the elevation of a line , its plan being given . Let AB be the

plan of the given line . Draw A A ' and BB ' at right angles to xy , making A ' a and

B ' b equal to the supposed

...

Problem 7 . To find the elevation of a line , its plan being given . Let AB be the

plan of the given line . Draw A A ' and BB ' at right angles to xy , making A ' a and

B ' b equal to the supposed

**height**of A , B above the horizontal plane , and join A...

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### Vanlige uttrykk og setninger

altitude arc cutting Atlas axis base Bisect the angle called centre circumference cloth complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs diagonal diameter distance divide draw a line draw lines Draw the line edge elevation ellipse equal equal in area equilateral triangle face four given circle given line given point given square ABCD given straight line given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length Maps mark meeting Method 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 semicircle sides similar solid straight line Take 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.