## Elements of Geometry |

### From inside the book

Page xiv

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**rectangle**, is nothing else than the number of linear units contained in A multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to that which results from the multiplication of ... Page 2

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**rectangle**( fig . 12 ) , which has its angles right angles with- out having its sides equal ( See art . above referred to ) ; The parallelogram ( fig . 13 ) , which has its opposite sides par- allel ; The rhombus or lozenge ( fig . 14 ) ... Page 19

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**rectangle**( 17 ) . 11 . 81. Corollary . The sum of the angles of a pentagon is equal to two right angles multiplied by 5-2 , which makes 6 right angles ; therefore , when a pentagon is equiangular , each angle is equal to a fifth of six ... Page 38

... . If the given angle be a right angle , the figure will be a

... . If the given angle be a right angle , the figure will be a

**rectangle**; and , if the adjacent sides are also equal , the figure will be a square . PROBLEM . 149. To find the centre of a given 38 Elements of Geometry . Page 42

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**rectangle**, & c . The denomination of equal figures will be restricted to those , which being applied , the one to the other , coincide entirely ; thus two circles having the same radius are equal ; and two triangles having the three ...### Other editions - View all

### Common terms and phrases

ABC fig adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence