## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |

### Inni boken

Side 3

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**called**complements , because , together with the portions about the diagonal , they_com- plete the whole parallelogram ABC D. 24. A**circle**is a**plane figure contained**by**one line**, which is**called**the**circumference**, and**such**that**all**... Side 78

... at the same distance from the centre , the parts

... at the same distance from the centre , the parts

**so**applied ( whether of**circumference**or area ) will coincide . A segment which is**contained**by a semi-**circumference**and 78 [ III . §**1**. GEOMETRY . BOOK III First properties of the**circle**. Side 79

10. A rectilineal

10. A rectilineal

**figure**is said to be its centre . circumscribed about ↓. A segment which is**contained**by a semi-**circumference**and a diameter , is equal to half the**circle**, and is therefore**called**a**semicircle**. 3.**An**angle in a ... Side 118

and touching the straight

and touching the straight

**line**BC : this shall be the**circle**required . For , let it touch B C in B ; join BD , and let it cut the**circumference**DEF in K , and join K F : then , because ( 15 . Cor .**1**. ) D K F is a right angle , the tri ... Side 162

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...

**lines**XA , XA ' which are drawn from the centre to the opposite angles A , A ' , lie in the same straight**line**( 15. and I. 4. ) Scholium . Upon examining the number of the solid angles in**each**of these**figures**, it will appear , that ...### Andre utgaver - Vis alle

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |

### Vanlige uttrykk og setninger

A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical