A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 |
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Σελίδα 273
... Corol . 1. Hence the line which bisects the verticle angle of an isosceles triangle , bisects the base , and is also perpendi- cular to it . Cord . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or ...
... Corol . 1. Hence the line which bisects the verticle angle of an isosceles triangle , bisects the base , and is also perpendi- cular to it . Cord . 2. Hence too it appears , that every equilateral tri- angle , is also equiangular , or ...
Σελίδα 274
... Corol . 1. Hence also , conversely , if the two angles ABC , ABD , on both sides of the line AB , make up together two right angles , then CB and BD form one continued right line CD . Corol . Corol . 2. Hence , all the angles which can ...
... Corol . 1. Hence also , conversely , if the two angles ABC , ABD , on both sides of the line AB , make up together two right angles , then CB and BD form one continued right line CD . Corol . Corol . 2. Hence , all the angles which can ...
Σελίδα 275
... Corol . 3. And , as all the angles that can be made on the other side of the line CD are also equal to two right angles ; therefore all the angles that can be made quite round a point , by any number of lines , are equal to four right ...
... Corol . 3. And , as all the angles that can be made on the other side of the line CD are also equal to two right angles ; therefore all the angles that can be made quite round a point , by any number of lines , are equal to four right ...
Σελίδα 278
... Corol . Right lines which are perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . WHEN a Line , Cutting Two other Lines , makes the Al- ternate Angles Equal to each other , those two Lines ...
... Corol . Right lines which are perpendicular to one , of two parallel lines , are also perpendicular to the other . THEOREM XIII . WHEN a Line , Cutting Two other Lines , makes the Al- ternate Angles Equal to each other , those two Lines ...
Σελίδα 279
... Corol . 2. If a line , cutting two other lines , make the sum of the two inward angles , on the same side , less ... ( corol . th . 12 ) , and con- sequently the two lines AB , CD , are parallels ( corol . th . 13 ) , Q. E. D : THEOREM ...
... Corol . 2. If a line , cutting two other lines , make the sum of the two inward angles , on the same side , less ... ( corol . th . 12 ) , and con- sequently the two lines AB , CD , are parallels ( corol . th . 13 ) , Q. E. D : THEOREM ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² angles equal arithmetical mean arithmetical progression arithmetical series BC² bisected centre chord ciphers circle circumference compound compound interest consequently contained cube root cubic equation decimal denotes diameter divide dividend division divisor draw equal angles equal th equation equiangular equilateral EXAMPLES figure fraction gallon geometrical geometrical progression given number gives greater half the arc Hence improper fraction infinite series Inscribed integer less Let ABC logarithm manner measured by half mult Multiply number of terms opposite angles outward angle parallel parallelogram perpendicular plane polygon prism PROBLEM proportional Q. E. D. THEOREM QUEST quotient radii radius ratio rectangle Reduce remainder right angles Right-angled Triangle rule side AC square root subtract surd tangent third transposing triangle ABC VULGAR FRACTIONS whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 280 - 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.
Σελίδα 2 - The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry.
Σελίδα 4 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Σελίδα 32 - Place the numbers so that those of the same denomination may stand directly under each other.
Σελίδα 11 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Σελίδα 297 - Hence, conversely, a line drawn perpendicular to a tangent, at the point of contact, passes through the centre of the circle.
Σελίδα 264 - A Right angle is that which is made by one line perpendicular to another. Or when the angles on each side are equal to one another, they are right angles.
Σελίδα 325 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Σελίδα 275 - THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
Σελίδα 184 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.