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 TrigonometryW. E. Dean, 1851 - 317 sider |
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Resultat 1-5 av 69
Side 7
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 7.
... on . In like manner , ( 3. Ax . ) designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third definition , and so on . 29. The word , therefore , or hence , frequently OF GEOMETRY . BOOK I. 7.
Side 8
... hence , frequently occurs . To express either of these words , the sign .. is generally used . 30. If the quotients of two pairs of numbers , or quantities , are equal , the quantities are said to be proportional : thus , if A с 1 D ...
... hence , frequently occurs . To express either of these words , the sign .. is generally used . 30. If the quotients of two pairs of numbers , or quantities , are equal , the quantities are said to be proportional : thus , if A с 1 D ...
Side 15
... Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle ...
... Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle ...
Side 20
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
Side 28
... Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one ...
... Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one ...
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Vanlige uttrykk og setninger
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