Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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Seite 7
... Square , Cube , & c . of a quantity , are expressed by placing a small figure at the right hand of the quantity : thus , the square of the line AB is denoted by AB2 , the cube of the line AB is designated by AB3 ; and so on . 27. The ...
... Square , Cube , & c . of a quantity , are expressed by placing a small figure at the right hand of the quantity : thus , the square of the line AB is denoted by AB2 , the cube of the line AB is designated by AB3 ; and so on . 27. The ...
Seite 10
... square is that which has all its sides equal and all its angles right angles . 26. An oblong is that which has all its angles right angles , but has not al its sides equal . 27. A rhombus is that which has all its sides equal , but its ...
... square is that which has all its sides equal and all its angles right angles . 26. An oblong is that which has all its angles right angles , but has not al its sides equal . 27. A rhombus is that which has all its sides equal , but its ...
Seite 31
... square . COR . 9. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right ...
... square . COR . 9. The sum of the angles of a pentagon is equal to two right an- gles multiplied by 5-2 , which amounts to six right angles ; hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right ...
Seite 39
... , viz . by applying ( 44. 1. ) to the given straight line a parallelogram equal to the first triangle ABD . and having an angle equal to the given angle . PROP . XLVI . PROB . To describe a square OF GEOMETRY . BOOK I.
... , viz . by applying ( 44. 1. ) to the given straight line a parallelogram equal to the first triangle ABD . and having an angle equal to the given angle . PROP . XLVI . PROB . To describe a square OF GEOMETRY . BOOK I.
Seite 40
... square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . C E From the point A draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the ...
... square upon a given straight line . Let AB be the given straight line : it is required to describe a square upon AB . C E From the point A draw ( 11. 1. ) AC at right angles to AB ; and make ( 3. 1. ) AD equal to AB , and through the ...
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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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore