Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 páginas |
Dentro del libro
Resultados 1-5 de 91
Página 7
... ABC , ABD is the supplemental or exterior angle , and the angle made up of ABD , DBE , and EBC , or the opening ... triangle is contained by three straight lines . 15. An isosceles triangle is that which has two of BOOK I. 7 1 ...
... ABC , ABD is the supplemental or exterior angle , and the angle made up of ABD , DBE , and EBC , or the opening ... triangle is contained by three straight lines . 15. An isosceles triangle is that which has two of BOOK I. 7 1 ...
Página 13
... triangles are equal , which have all the sides of the one equal to those of the other . Let the two triangles ABC and DFE have the side AB equal to DF , AC to DE , and BC to FE : These triangles are equal . 1 For conceive the triangle ...
... triangles are equal , which have all the sides of the one equal to those of the other . Let the two triangles ABC and DFE have the side AB equal to DF , AC to DE , and BC to FE : These triangles are equal . 1 For conceive the triangle ...
Página 14
... ABC contained by the former equal to DEF which is contained by the latter : These triangles are equal . For let the triangle ABC be applied to DEF : The ver- tex B being placed on E , and the side BA on ED , the ex- tremity A must fall ...
... ABC contained by the former equal to DEF which is contained by the latter : These triangles are equal . For let the triangle ABC be applied to DEF : The ver- tex B being placed on E , and the side BA on ED , the ex- tremity A must fall ...
Página 15
... triangles will be thus formed , all of them equal to the original triangle F G E B D C ABC . Consequently the angle ABD is double of ABC , ABE triple , ABF quadruple , ABG quintuple , & c . If the sides AB and BC of the given angle BOOK ...
... triangles will be thus formed , all of them equal to the original triangle F G E B D C ABC . Consequently the angle ABD is double of ABC , ABE triple , ABF quadruple , ABG quintuple , & c . If the sides AB and BC of the given angle BOOK ...
Página 16
... triangle DFE , and draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF ... ABC , which the opposite seg- ments BA and BC make with each other , being equal to two right angles , the ...
... triangle DFE , and draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF ... ABC , which the opposite seg- ments BA and BC make with each other , being equal to two right angles , the ...
Contenido
221 | |
225 | |
226 | |
243 | |
244 | |
256 | |
260 | |
262 | |
101 | |
125 | |
128 | |
155 | |
181 | |
183 | |
199 | |
200 | |
204 | |
268 | |
283 | |
311 | |
318 | |
338 | |
365 | |
371 | |
392 | |
Otras ediciones - Ver todas
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD adjacent angle altitude angle ABC angle ADB angle BAC angle BCD base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle Geometry greater half Hence hypotenuse inscribed intercepted isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter side AC sides AB sinAC sinB sine square of AB square of AC tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Pasajes populares
Página 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. 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 333 - 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 294 - 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 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Página 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Página 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
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.
Página 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.