Elements of Geometry and Trigonometry |
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Page 190
... quadrant : and this quadrant at the same time makes a right angle with the arc AM . For , the line DC being per- pendicular to the plane AMC , every plane DME , passing through the line DC is perpendicular to A H D 10 10 B M M E the ...
... quadrant : and this quadrant at the same time makes a right angle with the arc AM . For , the line DC being per- pendicular to the plane AMC , every plane DME , passing through the line DC is perpendicular to A H D 10 10 B M M E the ...
Page 191
... quadrant ; the pole D being found , we might describe the arc AM and its prolongation , from D as a centre , and with the same distance as before . In fine , if it be required from a given point P , to let fall a perpendicular on the ...
... quadrant ; the pole D being found , we might describe the arc AM and its prolongation , from D as a centre , and with the same distance as before . In fine , if it be required from a given point P , to let fall a perpendicular on the ...
Page 192
... quadrant : hence the point E is removed the length of a quadrant from each of the points A and C ; hence , it is the pole of the arc AC ( Prop . V. Cor . 3. ) . It might be shown , by the same method , that D is the pole of the arc ...
... quadrant : hence the point E is removed the length of a quadrant from each of the points A and C ; hence , it is the pole of the arc AC ( Prop . V. Cor . 3. ) . It might be shown , by the same method , that D is the pole of the arc ...
Page 193
... quadrant , and likewise GF , E being the pole of AH , and F of AG ; hence EH + GF is equal to a semi- circumference . Now , EH + GF is the same as EF + GH ; hence the arc GH , which mea- sures the angle A , is equal to a ...
... quadrant , and likewise GF , E being the pole of AH , and F of AG ; hence EH + GF is equal to a semi- circumference . Now , EH + GF is the same as EF + GH ; hence the arc GH , which mea- sures the angle A , is equal to a ...
Page 199
... quadrants ( Prop . V. Cor . 3. ) . If the angle A is also a right angle , the tri- angle ABC will be tri - rectangular ; its angles B C will all be right angles , and its sides quadrants . Two of the tri - rectangular triangles make ...
... quadrants ( Prop . V. Cor . 3. ) . If the angle A is also a right angle , the tri- angle ABC will be tri - rectangular ; its angles B C will all be right angles , and its sides quadrants . Two of the tri - rectangular triangles make ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex