Elements of Geometry and Trigonometry |
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Page 180
... triangle ABC ; hence we have AOx CD = 2ABC ; circ . IK , hence the solid described by the triangle ABC is also measured by ABC - IK , or which is the same thing , by ABC circ . IK being equal to 2 ′′ × IK . Hence the solid described by ...
... triangle ABC ; hence we have AOx CD = 2ABC ; circ . IK , hence the solid described by the triangle ABC is also measured by ABC - IK , or which is the same thing , by ABC circ . IK being equal to 2 ′′ × IK . Hence the solid described by ...
Page 203
... triangle . H I G Let ABC be the proposed triangle : pro- duce its sides till they meet the great circle DEFG drawn at pleasure without the trian- gle . By the last Theorem , the two triangles ADE , AGH , are together equivalent to the ...
... triangle . H I G Let ABC be the proposed triangle : pro- duce its sides till they meet the great circle DEFG drawn at pleasure without the trian- gle . By the last Theorem , the two triangles ADE , AGH , are together equivalent to the ...
Page 239
Adrien Marie Legendre Charles Davies. Let ABC be the proposed triangle ; AD the perpendicular , let fall from the vertex A on the opposite side BC : there may be two cases . First . If the perpendicular falls within the triangle ABC ...
Adrien Marie Legendre Charles Davies. Let ABC be the proposed triangle ; AD the perpendicular , let fall from the vertex A on the opposite side BC : there may be two cases . First . If the perpendicular falls within the triangle ABC ...
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