## Elements of Geometry and Trigonometry |

### From inside the book

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**drawn**. 12. Through the same point , only one straight line can be**drawn**which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I ... Page 15

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**draw**the line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE will likewise be a right angle ... Page 18

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**drawn**to the extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the ...**draw**CG . The C F triangle GAC is equal to DEF , since , by -18 GEOMETRY . Page 21

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**draw**CD . Now , in the two triangles BDC , BAC , we have BD - AC , by construction ; the angle B equal to the angle ACB , by hypothesis ; B4 and the side BC common : therefore , the two triangles , BDC , BAC , have two sides and the ... Page 22

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**drawn**to that line . Let A be the point , and DE the given line . B E Let us suppose that we can**draw**two perpendiculars , AB , AC . Produce either of them , as AB , till BF is equal to AB , and De**draw**FC . Then , the two triangles CAB ...### 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