Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 100
Page 13
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
Page 21
... C - B , then the side AB = AC ( Prop . XÍÏ . ) ; which is also contrary to the supposition . Therefore , when AB > AC , the angle C must be greater than B. • PROPOSITION XIV . THEOREM . From a given point , BOOK I. 21.
... C - B , then the side AB = AC ( Prop . XÍÏ . ) ; which is also contrary to the supposition . Therefore , when AB > AC , the angle C must be greater than B. • PROPOSITION XIV . THEOREM . From a given point , BOOK I. 21.
Page 22
... given line . A BE F Let us suppose that we can draw two perpendiculars , AB , AC . Produce either of them , as AB , till BF is equal to AB , and D draw FC . Then , the two triangles CAB , CBF ... given point , DE the given 22 GEOMETRY . ·
... given line . A BE F Let us suppose that we can draw two perpendiculars , AB , AC . Produce either of them , as AB , till BF is equal to AB , and D draw FC . Then , the two triangles CAB , CBF ... given point , DE the given 22 GEOMETRY . ·
Page 23
Adrien Marie Legendre Charles Davies. Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The ...
Adrien Marie Legendre Charles Davies. Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The ...
Page 28
... given , if through two points E G D and F , assumed at pleasure , the straight lines EG , FH , be drawn perpendicular to AB , these straight A lines will at the same time be F E B perpendicular to CD ( Prop . XX . Cor . 1. ) : and we ...
... given , if through two points E G D and F , assumed at pleasure , the straight lines EG , FH , be drawn perpendicular to AB , these straight A lines will at the same time be F E B perpendicular to CD ( Prop . XX . Cor . 1. ) : and we ...
Other editions - View all
Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex