Elements of Geometry and Trigonometry |
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Page 41
... called the centre . The circle is the space terminated by A this curved line . * 2. Every straight line , CA , CE , CD , drawn from the centre to the circum- ference , is called a radius or semidiam- F H eter ; every line which , like ...
... called the centre . The circle is the space terminated by A this curved line . * 2. Every straight line , CA , CE , CD , drawn from the centre to the circum- ference , is called a radius or semidiam- F H eter ; every line which , like ...
Page 42
... called the point of contact . In like manner , two circumferences touch each other when they have but one point in common . OOK 9. A polygon is circumscribed about a circle , when all its sides are tangents to the circumference : in the ...
... called the point of contact . In like manner , two circumferences touch each other when they have but one point in common . OOK 9. A polygon is circumscribed about a circle , when all its sides are tangents to the circumference : in the ...
Page 68
... called homologous sides or angles . 3. In two different circles , similar arcs , sectors , or segments , are those which correspond to equal angles at the centre . Thus , if the angles A and O are equal , the arc BC will be similar to ...
... called homologous sides or angles . 3. In two different circles , similar arcs , sectors , or segments , are those which correspond to equal angles at the centre . Thus , if the angles A and O are equal , the arc BC will be similar to ...
Page 69
... called equivalent . The term equal , when applied to figures , designates those which are equal in every respect , and which being applied to each other will coincide in all their parts ( Ax . 13. ) : the term equi- valent implies an ...
... called equivalent . The term equal , when applied to figures , designates those which are equal in every respect , and which being applied to each other will coincide in all their parts ( Ax . 13. ) : the term equi- valent implies an ...
Page 96
... called a solid , for a reason that shall be seen afterwards . Its value is easily con- ceived , by imagining that the lines are reduced into numbers , and multiplying these numbers together . Scholium . It may also be demonstrated ...
... called a solid , for a reason that shall be seen afterwards . Its value is easily con- ceived , by imagining that the lines are reduced into numbers , and multiplying these numbers together . Scholium . It may also be demonstrated ...
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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