## Elements of Geometry and Trigonometry |

### From inside the book

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**distance**from one point to another . 4. Every line which is not straight , or composed of straight lines , is a curved line . Thus , AB is a straight line ; ACDB is a broken line , or one composed of straight A lines ; and AEB is a ... Page 13

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**distance**between the points A and B. The expression Ax ( B + C - D ) represents the product of A by the quantity B + C - D . If A + B were to be multiplied by A - B + C , the product would be indicated thus , ( A + B ) × ( A - B + C ) ... Page 18

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**distance**between the points A and B ( Def . 3. ) ; hence AC + CB is greater A. than AB . PROPOSITION VIII . THEOREM . B C If from any point within a triangle , two straight lines be drawn to the extremities of either side , their sum ... Page 22

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**distances**on the other line , will be equal . 3d , Of two oblique lines , drawn at pleasure , that which is farther from the perpendicular will be the longer . Let A be the given point , DE the given 22 GEOMETRY . Page 23

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**distance**of a point from a line . Cor . 2. From the same point to the same straight line , only two equal straight lines can be drawn ; for , if there could be more , we should have at least two equal oblique lines on the same side of ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex