## Elements of Geometry |

### From inside the book

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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 ... 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 16

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**rectangle**( 17 ) . 66. Corollary II . 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 40

... . 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 40 Elements of Geometry . Page 44

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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 BAC 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 angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence