Elements of Geometry and Trigonometry |
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Page 131
... dicular to the plane NM , then will ED be also per- pendicular to it . Through the parallels AP , DE , pass a plane ; its inter- section with the plane MN will be PD ; in the plane MN M P B E draw BC perpendicular to PD , and draw AD ...
... dicular to the plane NM , then will ED be also per- pendicular to it . Through the parallels AP , DE , pass a plane ; its inter- section with the plane MN will be PD ; in the plane MN M P B E draw BC perpendicular to PD , and draw AD ...
Page 137
... dicular to NM ; then if the line AP be perpendicular to the inter- section BC , it will also be perpen- dicular to the plane NM . For , in the plane MN draw PD perpendicular to PB ; then , be- cause the planes are perpendicu- lar , the ...
... dicular to NM ; then if the line AP be perpendicular to the inter- section BC , it will also be perpen- dicular to the plane NM . For , in the plane MN draw PD perpendicular to PB ; then , be- cause the planes are perpendicu- lar , the ...
Page 212
... dicular , and the difference of the two other sides . PROBLEM XX . To determine a triangle , having given the base , the perpen- dicular and the rectangle of the two sides . PROBLEM XXI . To determine a triangle , having given the ...
... dicular , and the difference of the two other sides . PROBLEM XX . To determine a triangle , having given the base , the perpen- dicular and the rectangle of the two sides . PROBLEM XXI . To determine a triangle , having given the ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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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 consequently convex surface cosine Cotang 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex