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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 34
... draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to ...
... draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to ...
Página 35
... draw a straight line perpendicular to a given straight line , of an un- limited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
... draw a straight line perpendicular to a given straight line , of an un- limited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
Página 37
... Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other : the remaining angle EBD will be the third angle requir- ed ; because those three ...
... Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other : the remaining angle EBD will be the third angle requir- ed ; because those three ...
Página 38
... draw AB , and CAB will be the triangle re- quired . But if the given angle is acute , and the side opposite to it ... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the ...
... draw AB , and CAB will be the triangle re- quired . But if the given angle is acute , and the side opposite to it ... draw a straight line through a given point parallel to a given straight line . Let A be the given point , and BC the ...
Página 39
... draw ( Prob . 13. ) AG parallel to BC , and through C draw CG ( Prob . 13. ) paral- lel to EF ; therefore FECG is a pa- rallelogram And because BE is equal to EC , the triangle ABE is likewise equal ( 32. 1. ) to the trian- gle AEC ...
... draw ( Prob . 13. ) AG parallel to BC , and through C draw CG ( Prob . 13. ) paral- lel to EF ; therefore FECG is a pa- rallelogram And because BE is equal to EC , the triangle ABE is likewise equal ( 32. 1. ) to the trian- gle AEC ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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 third touches the circle triangle ABC triangle DEF wherefore