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 sider |
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Side 18
... straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any two other oblique lines , cutting off ...
... straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any two other oblique lines , cutting off ...
Side 19
... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate ...
... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate ...
Side 20
... straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXI . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the ...
... straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXI . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one another ; and the ...
Side 21
... line perpendicular to one of two parallels , is perpendicular to the other . COR . 2. Since AGE = BGH , and DHF ... straight line , cutting two other lines , make the sum of the two interior angles on the same side , less than two right ...
... line perpendicular to one of two parallels , is perpendicular to the other . COR . 2. Since AGE = BGH , and DHF ... straight line , cutting two other lines , make the sum of the two interior angles on the same side , less than two right ...
Side 25
... straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are ... line BC meets the two straight lines AC , BD , and makes the alter- nate angles ACB , CBD equal to one another , AC is ...
... straight lines which join the extremities of two equal and parallel straight lines , towards the same parts , are ... line BC meets the two straight lines AC , BD , and makes the alter- nate angles ACB , CBD equal to one another , AC is ...
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
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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