Elements of Geometry and Trigonometry |
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Page 10
... middle . Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A ...
... middle . Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the an- gle DCB is the difference of the two A ...
Page 20
... middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to those of the other , each to each ; for BA is equal to AC , B by hypothesis ; AD is common , and BD is equal A to DC by ...
... middle point of the base BC . Then , the triangles BAD , DAC , will have all the sides of the one equal to those of the other , each to each ; for BA is equal to AC , B by hypothesis ; AD is common , and BD is equal A to DC by ...
Page 23
... middle point of a straight line , a perpendicular be drawn to this line ; Ist , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally ...
... middle point of a straight line , a perpendicular be drawn to this line ; Ist , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally ...
Page 24
... middle point C. PROPOSITION XVII . THEOREM . If two right angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to ...
... middle point C. PROPOSITION XVII . THEOREM . If two right angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to ...
Page 25
... middle point of BA , draw the straight line EGF , perpendicular to EC . It will also B G E A F -C . be perpendicular to BD . For , the sum BAC + ABD is equal to two right angles , by hypothesis ; the sum BAC + BAE is likewise equal to ...
... middle point of BA , draw the straight line EGF , perpendicular to EC . It will also B G E A F -C . be perpendicular to BD . For , the sum BAC + ABD is equal to two right angles , by hypothesis ; the sum BAC + BAE is likewise equal to ...
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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