## Elements of Geometry and Trigonometry |

### From inside the book

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**formed**on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- , gles , BAC , CAF . B E T PROPOSITION II . THEOREM . Two straight lines , which have two points ... Page 16

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**formed**about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two , ACD , DCB , is ... Page 26

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**formed**take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the ... Page 27

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**formed**by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the ... Page 41

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**formed**by two chords . B * Note . In common language , the circle is sometimes confounded with its circumference : but the correct expression may always be easily recurred to if we bear in mind that the circle is a surface which has ...### 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