Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous Practical ProblemsIvison, Phinney, Blakeman & Company, 1865 - 444 Seiten |
Im Buch
Ergebnisse 1-5 von 28
Seite 12
... Isosceles Triangle is one in which two of the sides are equal . 27. An Equilateral Triangle is one in which the three sides are equal . 28. A Right - Angled Triangle is one which has one of the angles a right angle . 29. An Obtuse ...
... Isosceles Triangle is one in which two of the sides are equal . 27. An Equilateral Triangle is one in which the three sides are equal . 28. A Right - Angled Triangle is one which has one of the angles a right angle . 29. An Obtuse ...
Seite 34
... isosceles . For , if AC is not equal to BC , suppose BC to be the greater , and make BE = AE ; then will △ AEB be isos- celes , and EAB = LEBA ; hence ( EAB = CAB , or a part is equal to the whole , which is absurd ; therefore , CB ...
... isosceles . For , if AC is not equal to BC , suppose BC to be the greater , and make BE = AE ; then will △ AEB be isos- celes , and EAB = LEBA ; hence ( EAB = CAB , or a part is equal to the whole , which is absurd ; therefore , CB ...
Seite 37
... isosceles ∆ . From the Now , as AB = AD , vertex A , draw a line bisecting the angle BAD . This line must be perpendic- ular to the base BD , ( Th . 18 , Cor . 2 ) . Since the BAC is greater than the DAC , this line must meet BC , and ...
... isosceles ∆ . From the Now , as AB = AD , vertex A , draw a line bisecting the angle BAD . This line must be perpendic- ular to the base BD , ( Th . 18 , Cor . 2 ) . Since the BAC is greater than the DAC , this line must meet BC , and ...
Seite 85
... isosceles ; therefore the angle ACD , the half of the angle ACB , is equal to the angle E , and DC and BE are parallel , ( Cor . 2 , Th . 7 , B. I ) . Now , as ABE is a triangle , and CD is parallel to BE , we have AD : DB = AC : CE or ...
... isosceles ; therefore the angle ACD , the half of the angle ACB , is equal to the angle E , and DC and BE are parallel , ( Cor . 2 , Th . 7 , B. I ) . Now , as ABE is a triangle , and CD is parallel to BE , we have AD : DB = AC : CE or ...
Seite 91
... isosceles triangles , ACE , and ECB , are equal in all re- C spects , and AE = EB . Hence the theorem . THEOREM III . D A B E In the same circle , or in equal circles , equal chords are equally distant from the center . Let AB and EF be ...
... isosceles triangles , ACE , and ECB , are equal in all re- C spects , and AE = EB . Hence the theorem . THEOREM III . D A B E In the same circle , or in equal circles , equal chords are equally distant from the center . Let AB and EF be ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
2sin AB² ABCD altitude angle opposite axis bisected chord circle circumference circumscribed common cone convex surface cos.a cos.a cos.b cos.b cos.c Cosine Cotang diagonal diameter difference distance divided draw equal and parallel equal angles equation equiangular equivalent find the angles four magnitudes frustum given line greater Hence the theorem homologous hypotenuse included angle inscribed intersect isosceles Let ABC logarithm measured multiplied N.sine number of sides parallelogram parallelopipedon pendicular perpen perpendicular plane ST polyedron PROB PROBLEM produced Prop proportion PROPOSITION prove pyramid quadrantal radii radius rectangle regular polygon right angles right-angled spherical triangle right-angled triangle SCHOLIUM secant segment similar sin.a sin.b sin.c sine solid angles sphere SPHERICAL TRIGONOMETRY straight line Tang tangent three angles three sides triangle ABC triangular prisms triedral angles Trigonometry vertex volume
Beliebte Passagen
Seite 318 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 30 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 123 - In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF.
Seite 58 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Seite 29 - If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles.
Seite 41 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Seite 96 - 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.
Seite 65 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Seite 77 - FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi.
Seite 113 - From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line.