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 6
... equilateral triangle is that which has three equal sides . 19. An isosceles triangle is that which has only two sides equal . AAA 20. A scalene triangle is that which has three unequal sides . 21. A right angled triangle is that which ...
... equilateral triangle is that which has three equal sides . 19. An isosceles triangle is that which has only two sides equal . AAA 20. A scalene triangle is that which has three unequal sides . 21. A right angled triangle is that which ...
Σελίδα 7
... equilateral polygon , is one which has all its sides equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
... equilateral polygon , is one which has all its sides equal ; an equian- gular polygon , one which has all its angles equal . 32. Two polygons are mutually equilateral , when they have their sides equal to each other , and placed in the ...
Σελίδα 10
... equilateral triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence , the line ...
... equilateral triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence , the line ...
Σελίδα 11
... equilateral . PROP . V. THEOR . A When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each to each . Let the two ...
... equilateral . PROP . V. THEOR . A When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their three angles equal , each to each . Let the two ...
Σελίδα 23
... equilateral triangle ( Cor . 3. 1. ) is also equian- gular , each of its angles will be equal to the third part of two right angles ; so that if the right angle is expressed by unity , the angle of an equilateral triangle will be ...
... equilateral triangle ( Cor . 3. 1. ) is also equian- gular , each of its angles will be equal to the third part of two right angles ; so that if the right angle is expressed by unity , the angle of an equilateral triangle will be ...
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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