Elements of Geometry and Trigonometry |
From inside the book
Results 6-10 of 100
Page 34
Adrien Marie Legendre Charles Davies. } BOOK II . OF RATIOS AND PROPORTIONS . Definitions . 1. Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and ... BOOK II Ratios and Proportions,
Adrien Marie Legendre Charles Davies. } BOOK II . OF RATIOS AND PROPORTIONS . Definitions . 1. Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and ... BOOK II Ratios and Proportions,
Page 39
... PROPOSITION XI . THEOREM . If two magnitudes be each increased or diminished by like parts of each , the resulting quantities will have the same ratio as the magnitudes themselves . Let M and N be any two magnitudes , and BOOK II . 39.
... PROPOSITION XI . THEOREM . If two magnitudes be each increased or diminished by like parts of each , the resulting quantities will have the same ratio as the magnitudes themselves . Let M and N be any two magnitudes , and BOOK II . 39.
Page 41
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the ... BOOK III . 41 BOOK III The Circle and the Measurement of Angles,
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the ... BOOK III . 41 BOOK III The Circle and the Measurement of Angles,
Page 43
... ( Book I. Prop . VII . * ) ; A or AD < AB . Cor . Hence the greatest line which can be inscribed in a circle is its diameter . PROPOSITION III . THEOREM . A straight line cannot meet the circumference of a circle in more than two points ...
... ( Book I. Prop . VII . * ) ; A or AD < AB . Cor . Hence the greatest line which can be inscribed in a circle is its diameter . PROPOSITION III . THEOREM . A straight line cannot meet the circumference of a circle in more than two points ...
Page 44
... ( Book I. Prop . X. ) . Now , placing the semicircle ADB on its equal EGF , since the angles ACD , EOG , are equal , it is plain that the radius CD will fall on the radius OG , and the point D on the point G ; therefore the arc AMD is ...
... ( Book I. Prop . X. ) . Now , placing the semicircle ADB on its equal EGF , since the angles ACD , EOG , are equal , it is plain that the radius CD will fall on the radius OG , and the point D on the point G ; therefore the arc AMD is ...
Other editions - View all
Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex