## Elements of Geometry and Trigonometry |

### From inside the book

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Page 23

... equal to the the triangle BAE ; for BC = BE , the side AB is common , and the angle CBA = ABE ; hence the sides AC and AE are equal ( Prop . V. Cor . ) : therefore , two oblique , lines ,

... equal to the the triangle BAE ; for BC = BE , the side AB is common , and the angle CBA = ABE ; hence the sides AC and AE are equal ( Prop . V. Cor . ) : therefore , two oblique , lines ,

**equally distant**from the perpendicular , are equal ... Page 24

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**equally distant**from the perpen- dicular , and therefore equal ( Prop . XV . ) . So , likewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is**equally distant**from the ... Page 28

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**equally distant**. Two parallels AB , CD , being C H given , if through two points E G D and F , assumed at pleasure ... equal to each other . If GF be drawn , the angles GFE , FGH , considered in refer- ence to the parallels AB , CD ... Page 41

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**equally distant**from a point within , called the centre . The circle is the space terminated by A this curved line ... equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the circumference ... Page 43

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**equally distant**from the centre ; and hence , there would be three equal straight lines drawn from the same point to the same straight line , which is impossible ( Book 1. Prop . XV . Cor . 2. ) . PROPOSITION IV . THEOREM . In the same ...### Other editions - View all

### Common terms and phrases

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