## Elements of Geometry |

### From inside the book

Results 1-5 of 48

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**four**of which treat of plane geometry , and**four**of solid geometry . The first section , entitled first principles , & c . contains the prop- erties of straight lines which meet those of perpendiculars , the theorem upon the sum of the ... Page xiv

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**four**proportional quantities form a new proportion . by By multiplying the proportion we shall have A2 : B2 : C2 : De Ꭿ : B :: C : Ꭰ , A3 : B3 :: C3 : D3 ; that is , the cubes of**four**proportional quantities form a new pro- portion ... Page 2

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**four**sides is called a quadrilateral ; that of five sides , a pentagon ; that of six , a hexa- gon , & c . 15. A triangle is denominated equilateral ( fig . 7 ) , when the three sides are equal , isosceles ( fig . 8 ) , when two only of ... Page 4

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**four**distances CA , CB , GE , GF , equal to each other , the distance AB will be equal to the distance EF , and the line EF may be applied to AB , so that the point E will fall upon A , and the point F upon B. These two lines , thus ... Page 6

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**four**right angles . For if , at the point C ,**four**right angles be formed by two lines perpendicular to each other , they will comprehend the same space as the successive angles , ACB , BCD , & c . † These are often called vertical ...### 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