Geometrical Problems Deducible from the First Six Books of Euclid, Arranged and Solved: To which is Added an Appendix Containing the Elements of Plane Trigonometry ...J. Smith, 1819 - 377 sider |
Inni boken
Resultat 1-5 av 100
Side xxxii
... describe a rectangular parallelogram , which shall be equal to a given square , and have its adjacent sides together ... circle into any number of concentric equal annuli . COR . To divide it into annuli which shall have a given ratio . 12.
... describe a rectangular parallelogram , which shall be equal to a given square , and have its adjacent sides together ... circle into any number of concentric equal annuli . COR . To divide it into annuli which shall have a given ratio . 12.
Side xxxiii
... circle being described on the base of a triangle ; to describe on the other sides segments similar to that on the base . 18. If an equilateral triangle be inscribed in a circle ; the ... describe a circle , which shall CONTENTS . xxxiii.
... circle being described on the base of a triangle ; to describe on the other sides segments similar to that on the base . 18. If an equilateral triangle be inscribed in a circle ; the ... describe a circle , which shall CONTENTS . xxxiii.
Side xxxiv
... describe a circle , which shall pass through two given points , and touch a given straight line . 35. To describe a circle , the circumference of which shall pass through a given point , and touch a circle in a given point ; the two ...
... describe a circle , which shall pass through two given points , and touch a given straight line . 35. To describe a circle , the circumference of which shall pass through a given point , and touch a circle in a given point ; the two ...
Side xxxv
... circumference of the other . 49. Through two given points without a given circle , to describe a circle which shall cut off from the one , an arc equal to a given arc . 50. To describe three circles of equal diameters , which shall ...
... circumference of the other . 49. Through two given points without a given circle , to describe a circle which shall cut off from the one , an arc equal to a given arc . 50. To describe three circles of equal diameters , which shall ...
Side 28
... describe a circle , to which from A draw a tangent AE . Join BE , and let it cut the given circle in D. Draw AC parallel to BE ; join CD . Then AC being equal and parallel to ED , ACDE 28 [ Sect . 2 . GEOMETRICAL PROBLEMS .
... describe a circle , to which from A draw a tangent AE . Join BE , and let it cut the given circle in D. Draw AC parallel to BE ; join CD . Then AC being equal and parallel to ED , ACDE 28 [ Sect . 2 . GEOMETRICAL PROBLEMS .
Innhold
1 | |
2 | |
6 | |
12 | |
17 | |
19 | |
23 | |
24 | |
158 | |
164 | |
170 | |
171 | |
177 | |
179 | |
185 | |
191 | |
30 | |
36 | |
42 | |
43 | |
47 | |
52 | |
58 | |
63 | |
69 | |
75 | |
80 | |
86 | |
87 | |
91 | |
92 | |
97 | |
103 | |
109 | |
115 | |
120 | |
126 | |
134 | |
140 | |
146 | |
147 | |
153 | |
157 | |
193 | |
199 | |
204 | |
210 | |
212 | |
218 | |
220 | |
225 | |
231 | |
232 | |
237 | |
243 | |
249 | |
255 | |
256 | |
262 | |
263 | |
267 | |
273 | |
277 | |
283 | |
289 | |
295 | |
301 | |
311 | |
319 | |
Andre utgaver - Vis alle
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... Miles Bland Uten tilgangsbegrensning - 1821 |
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... Miles Bland Uten tilgangsbegrensning - 1819 |
Geometrical problems deducible from the first six books of Euclid, arranged ... Miles Bland Uten tilgangsbegrensning - 1819 |
Vanlige uttrykk og setninger
ABCD angle ABC angles at F base centre chord circle ABC circles cut circles touch circumference describe a circle divided draw a line draw the diameter drawn parallel duplicate ratio equal angles equiangular Eucl extremities G draw given angle given circle given in position given line given point given ratio given square given straight line given triangle intercepted isosceles triangle Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite side parallel to BC parallelogram pendicular point of bisection point of contact point of intersection point required radius rectangle right angles segments semicircle shewn tangent touching the circle trapezium triangle ABC
Populære avsnitt
Side 14 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Side xiii - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Side 230 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 327 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Side 158 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other...
Side 212 - FC are equal to one another : wherefore the circle described from the centre F, at the distance of one of them, will pass through the extremities of the other two, and be described about the triangle ABC.
Side 123 - If from a point, without a parallelogram, there be drawn two straight lines to the extremities of the two opposite sides, between which, when produced, the point does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, formed by drawing straight lines from any point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram.
Side 305 - Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Side 247 - The perpendicular from the vertex on the base of an equilateral triangle is equal to the side of an equilateral triangle inscribed in a circle, whose diameter is the base.
Side 299 - AB be equal to the given bisecting line ; and upon it describe a segment of a circle containing an angle equal to the given angle.