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 σελίδες |
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Σελίδα 12
... PROP . VI . THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it the ...
... PROP . VI . THEOR . The angles which one straight line makes with another upon one side of it , are either two right angles , or are together equal to two right angles . Let the straight line AB make with CD , upon one side of it the ...
Σελίδα 13
... PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and ...
... PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite angles are equal . Let the two straight lines AB , CD , cut one another in the point E ; the angle AEC shall be equal to the angle DEB , and ...
Σελίδα 15
... PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the an- gle BCA ; the side AČ is ...
... PROP . XII . THEOR . The greater angle of every triangle is subtended by the greater side , or has the greater side opposite to it . Let ABC be a triangle , of which the angle ABC is greater than the an- gle BCA ; the side AČ is ...
Σελίδα 17
... PROP . XVI . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the an- gle contained by the sides of that which has the ...
... PROP . XVI . THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of the other ; the an- gle contained by the sides of that which has the ...
Σελίδα 18
... PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular ...
... PROP . XVII . THEOR . A perpendicular is the shortest line that can be drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular ...
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Δεν υπάρχει διαθέσιμη προεπισκόπηση - 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