Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added, Elements of Plane and Spherical TrigonometryLippincott, Grambo & Company, 1854 - 317 σελίδες |
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Σελίδα 10
... its angles right angles , but has not all its sides equal . 27. A rhombus is that which has all its sides equal , but its angles are not right angles . 777 28. A rhomboid is that which has its opposite sides 10 ELEMENTS.
... its angles right angles , but has not all its sides equal . 27. A rhombus is that which has all its sides equal , but its angles are not right angles . 777 28. A rhomboid is that which has its opposite sides 10 ELEMENTS.
Σελίδα 11
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane ...
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane ...
Σελίδα 13
... opposite . * D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall he base BC ...
... opposite . * D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and let the angle BAC be also equal to the angle EDF : then shall he base BC ...
Σελίδα 14
... opposite , shall be equal , each to each . PROP . V. THEOR . The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ...
... opposite , shall be equal , each to each . PROP . V. THEOR . The angles at the base of an Isosceles triangle are equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ...
Σελίδα 15
... opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other ...
... opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if AB be not equal to AC , one of them is greater than the other ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore