## 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 18

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**drawn**to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the ...**draw**CG . The C F triangle GAC is equal to DEF , since , by -18 GEOMETRY . 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 ... Page 23

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**drawn**; for , if there could be more , we should have at least two equal oblique lines on the same side of the perpendicular , which is impossible . PROPOSITION XVI . THEOREM . If from the middle point of a straight line , a ... Page 24

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**drawn**, one of these lines will cut the perpendicular in D ; from which , drawing DB , we shall have DB DA . But the ...**draw**AG . Then , in the two triangles BAG , DEF , the angles B and E are equal , being right angles , the side BA ...### 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