Elements of Geometry and Trigonometry |
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Page 80
... perpendicular let fall from the opposite angle on the base , or on the base produced . Let ABC be a triangle , and AD perpendicular to the base CB ; then will AB = AC2 + BC2—2BC × CD . There are two cases . First . When the ...
... perpendicular let fall from the opposite angle on the base , or on the base produced . Let ABC be a triangle , and AD perpendicular to the base CB ; then will AB = AC2 + BC2—2BC × CD . There are two cases . First . When the ...
Page 130
... perpendicular let fall E P B C from A would meet that plane , D may be found by marking upon N that plane three ... perpendicular ; for all the triangles ABP , ACP , ADP , & c . are equal to each other . PROPOSITION VI . THEOREM ...
... perpendicular let fall E P B C from A would meet that plane , D may be found by marking upon N that plane three ... perpendicular ; for all the triangles ABP , ACP , ADP , & c . are equal to each other . PROPOSITION VI . THEOREM ...
Page 210
... let fall from D on the sides . Draw DA , DB , DC to the vertices of the angles , and let fall the perpendicular CH on the base . Let DG = a , DE = b , and DF = c : put one of the equal sides AB A. C F DE HG B = 22 ; hence AH = x ...
... let fall from D on the sides . Draw DA , DB , DC to the vertices of the angles , and let fall the perpendicular CH on the base . Let DG = a , DE = b , and DF = c : put one of the equal sides AB A. C F DE HG B = 22 ; hence AH = x ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
adjacent altitude angle ACB 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 equal angles 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 parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex