## Elements of Geometry and Trigonometry |

### From inside the book

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**dicular**, cutting off equal 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 ... Page 24

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**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 extremities A and B. E B Secondly ... Page 28

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**dicular**to CD . Hence AB and CD are . perpendicular to the same straight line ; A hence they are parallel ( Prop . XVIII . ) . R F D B PROPOSITION XXIII . THEOREM . Two parallels are every where equally distant . Two parallels AB , CD ... Page 46

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**dicular**FG , it is also equally distant from the two points B and C : hence the three distances OA , OB , OC , are equal ; there- fore the circumference described from the centre O , with the radius OB , will pass through the three ... Page 58

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**dicular**on this line . Let A be the point , and BD the straight line . From the point A as a centre , and with a radius sufficiently great , describe an arc cutting the line BD in the two points B and D ; then mark a point E , equally ...### 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