Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very Copious Notes and IllustrationsW. & C. Tait, and Longman, Hurst, Rees, Orme, & Brown, London, 1820 - 465 páginas |
Dentro del libro
Resultados 1-5 de 37
Página 25
... extended from C to AB , making on the same side , the one an obtuse angle CEA , and the other an acute angle CFA . As the distance between two points , or the shortest communication , is the straight line which joins them ; so the ...
... extended from C to AB , making on the same side , the one an obtuse angle CEA , and the other an acute angle CFA . As the distance between two points , or the shortest communication , is the straight line which joins them ; so the ...
Página 30
... extended line AB above G towards A , and will in its progress af- terwards meet this line on the other side below G towards B. In the former position IFH , the angle EFH is the exterior angle of the triangle FHG , and therefore greater ...
... extended line AB above G towards A , and will in its progress af- terwards meet this line on the other side below G towards B. In the former position IFH , the angle EFH is the exterior angle of the triangle FHG , and therefore greater ...
Página 49
... remains the rhomboid BF equivalent to FD . Cor . The same property will obviously extend to the spaces left on both sides of the diagonal by rhomboids any how combined . E PROP . VIII . PROB . With a given straight BOOK II . 49.
... remains the rhomboid BF equivalent to FD . Cor . The same property will obviously extend to the spaces left on both sides of the diagonal by rhomboids any how combined . E PROP . VIII . PROB . With a given straight BOOK II . 49.
Página 55
... extended to any number of squares . C E A B Cor . If four lines A , B , C , and D be all equal , it may be easily shown that the resulting line , or side of the qua- druple square , is double of each . PROP . XIII . PROB . To find the ...
... extended to any number of squares . C E A B Cor . If four lines A , B , C , and D be all equal , it may be easily shown that the resulting line , or side of the qua- druple square , is double of each . PROP . XIII . PROB . To find the ...
Página 59
... extended line , and its produced part DB , together with the square of the half line AC , is equivalent to the square of CD , which is made up of this half line and of the part produ- ced . For AD is the sum of AC , CD , and DB is their ...
... extended line , and its produced part DB , together with the square of the half line AC , is equivalent to the square of CD , which is made up of this half line and of the part produ- ced . For AD is the sum of AC , CD , and DB is their ...
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Otras ediciones - Ver todas
Elements of Geometry and Plane Trigonometry. with an Appendix, and Copious ... University Professor Emeritus John Leslie, Sir Sin vista previa disponible - 2016 |
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Copious ... John Leslie,University Professor Emeritus John Leslie, Sir Sin vista previa disponible - 2017 |
Términos y frases comunes
ABCD adjacent angle altitude angle ABC angle ACB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle corresponding cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC evidently expressed exterior angle Geometry given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise mean proportional measure multiple parallel perpendicular point G polygon PROB PROP proposition quadrant quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sexagesimal side AC sine square of AB square of AC straight line tangent THEOR tion toises triangle ABC Trigonometry twice the rectangle twice the square vertex vertical angle whence Wherefore
Pasajes populares
Página 110 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Página 30 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Página 334 - the first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Página 293 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Página 88 - ... a circle. The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse.
Página 295 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Página 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 129 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Página 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Página 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.